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Details

Types of Numbers
Integers, Rational, Irrat, etc.
184
Mathematics
Not Applicable
05/29/2005
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Term
(T/F): 2 is an integer.
 Definition
True. EXPLANATION: An integer has no digits to the right of the decimal point. Since 2 has no digits to the right of the decimal point, it is an integer.
Term
(T/F): 9 is an integer.
 Definition
True. EXPLANATION: An integer has no digits to the right of the decimal point. Since 9 has no digits to the right of the decimal point, it is an integer.
Term
(T/F): 13 is an integer.
 Definition
True. EXPLANATION: An integer has no digits to the right of the decimal point. Since 13 has no digits to the right of the decimal point, it is an integer.
Term
(T/F): -1.6 is an integer.
 Definition
False. EXPLANATION: An integer has no digits to the right of the decimal point. Since -1.6 has one or more digits to the right of the decimal point, it is not an integer.
Term
(T/F): 5 is an integer.
 Definition
True. EXPLANATION: An integer has no digits to the right of the decimal point. Since 5 has no digits to the right of the decimal point, it is an integer.
Term
(T/F): -6.2 is an integer.
 Definition
False. EXPLANATION: An integer has no digits to the right of the decimal point. Since -6.2 has one or more digits to the right of the decimal point, it is not an integer.
Term
(T/F): 0 is an integer.
 Definition
True. EXPLANATION: An integer is a number with no digits to the right of the decimal point. Zero is therefore an integer.
Term
(T/F): 0 is an even number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 0 ends in 0, it is odd.
Term
(T/F): 18 is an even number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 18 ends in 8, it is odd.
Term
(T/F): 3 is an even number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 3 ends in 3, it is odd.
Term
(T/F): 30 is an odd number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 30 ends in 0, it is odd.
Term
(T/F): 30 is an odd number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 30 ends in 0, it is odd.
Term
(T/F): 17 is an odd number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 17 ends in 7, it is odd.
Term
(T/F): 928 is an even number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 928 ends in 8, it is even.
Term
(T/F): -563 is an even number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -563 ends in 3, it is odd.
Term
(T/F): -1073 is an even number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -1073 ends in 3, it is odd.
Term
(T/F): -1312 is an odd number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -1312 ends in 2, it is even.
Term
(T/F): 926 is an odd number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 926 ends in 6, it is even.
Term
(T/F): 1878 is an odd number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 1878 ends in 8, it is even.
Term
(T/F): 859.029 is an odd number.
 Definition
False. EXPLANATION: A number that has digits to the right of the decimal points is neither even nor odd, so it is false to say that 859.029 is odd.
Term
(T/F): 1703.281 is an odd number.
 Definition
False. EXPLANATION: A number that has digits to the right of the decimal points is neither even nor odd, so it is false to say that 1703.281 is odd.
Term
(T/F): -1688.498 is an odd number.
 Definition
False. EXPLANATION: A number that has digits to the right of the decimal points is neither even nor odd, so it is false to say that -1688.498 is odd.
Term
(T/F): The square root of 80 is a rational number.
 Definition
False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 80, the square root of 80 is irrational.
Term
(T/F): The square root of 22 is a rational number.
 Definition
False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 22, the square root of 22 is irrational.
Term
(T/F): The square root of 3 is a rational number.
 Definition
False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 3, the square root of 3 is irrational.
Term
(T/F): The square root of 25 is a rational number.
 Definition
True. EXPLANATION: The square root of 25 is 5, which is an integer, and therefore rational.
Term
(T/F): The square root of 9 is a rational number.
 Definition
True. EXPLANATION: The square root of 9 is 3, which is an integer, and therefore rational.
Term
(T/F): The square root of 100 is a rational number.
 Definition
True. EXPLANATION: The square root of 100 is 10, which is an integer, and therefore rational.
Term
(T/F): The square root of 5 is an irrational number.
 Definition
True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 5, the square root of 5 is irrational.
Term
(T/F): The square root of 99 is an irrational number.
 Definition
True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 99, the square root of 99 is irrational.
Term
(T/F): The square root of 5 is an irrational number.
 Definition
True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 5, the square root of 5 is irrational.
Term
(T/F): The square root of 36 is an irrational number.
 Definition
False. EXPLANATION: The square root of 36 is 6, which is an integer, and therefore rational.
Term
(T/F): The square root of 49 is an irrational number.
 Definition
False. EXPLANATION: The square root of 49 is 7, which is an integer, and therefore rational.
Term
(T/F): The square root of 16 is an irrational number.
 Definition
False. EXPLANATION: The square root of 16 is 4, which is an integer, and therefore rational.
Term
(T/F): The number 85.6060606060. . . is rational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 60 repeats forever, so the number is rational.
Term
(T/F): The number 25.232232232232232. . . is rational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 232 repeats forever, so the number is rational.
Term
(T/F): The number 8.99999. . . is rational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 9 repeats forever, so the number is rational.
Term
(T/F): The number 21.167167167167167. . . is irrational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 167 repeats forever, so the number is rational.
Term
(T/F): The number 23.290290290290290. . . is irrational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 290 repeats forever, so the number is rational.
Term
(T/F): The number 16.211211211211211. . . is irrational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 211 repeats forever, so the number is rational.
Term
(T/F): The number 12.67677677767777. . . is irrational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 7's after each 6 keeps growing, so the number is irrational.
Term
(T/F): The number 32.23233233323333. . . is irrational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 3's after each 2 keeps growing, so the number is irrational.
Term
(T/F): The number 4.49499499949999. . . is irrational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 9's after each 4 keeps growing, so the number is irrational.
Term
(T/F): The number 65.34344344434444. . . is rational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 4's after each 3 keeps growing, so the number is irrational.
Term
(T/F): The number 16.62622622262222. . . is rational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 2's after each 6 keeps growing, so the number is irrational.
Term
(T/F): The number 90.20200200020000. . . is rational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 0's after each 2 keeps growing, so the number is irrational.
Term
(T/F): 15.47 is an integer.
 Definition
False. EXPLANATION: An integer has no digits to the right of the decimal point. Since 15.47 has one or more digits to the right of the decimal point, it is not an integer.
Term
(T/F): 5.882 is an integer.
 Definition
False. EXPLANATION: An integer has no digits to the right of the decimal point. Since 5.882 has one or more digits to the right of the decimal point, it is not an integer.
Term
(T/F): 11 is an integer.
 Definition
True. EXPLANATION: An integer has no digits to the right of the decimal point. Since 11 has no digits to the right of the decimal point, it is an integer.
Term
(T/F): 4.7 is an integer.
 Definition
False. EXPLANATION: An integer has no digits to the right of the decimal point. Since 4.7 has one or more digits to the right of the decimal point, it is not an integer.
Term
(T/F): -6.99 is an integer.
 Definition
False. EXPLANATION: An integer has no digits to the right of the decimal point. Since -6.99 has one or more digits to the right of the decimal point, it is not an integer.
Term
(T/F): -3 is an integer.
 Definition
True. EXPLANATION: An integer has no digits to the right of the decimal point. Since -3 has no digits to the right of the decimal point, it is an integer.
Term
(T/F): 0 is an integer.
 Definition
True. EXPLANATION: An integer is a number with no digits to the right of the decimal point. Zero is therefore an integer.
Term
(T/F): 12 is an even number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 12 ends in 2, it is odd.
Term
(T/F): 29 is an even number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 29 ends in 9, it is odd.
Term
(T/F): 30 is an even number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 30 ends in 0, it is odd.
Term
(T/F): 2 is an odd number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 2 ends in 2, it is odd.
Term
(T/F): 9 is an odd number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 9 ends in 9, it is odd.
Term
(T/F): 0 is an odd number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 0 ends in 0, it is odd.
Term
(T/F): -473 is an even number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -473 ends in 3, it is odd.
Term
(T/F): 932 is an even number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 932 ends in 2, it is even.
Term
(T/F): 450 is an even number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 450 ends in 0, it is even.
Term
(T/F): -46 is an odd number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -46 ends in 6, it is even.
Term
(T/F): -1707 is an odd number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -1707 ends in 7, it is odd.
Term
(T/F): 126 is an odd number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 126 ends in 6, it is even.
Term
(T/F): 925.471 is an odd number.
 Definition
False. EXPLANATION: A number that has digits to the right of the decimal points is neither even nor odd, so it is false to say that 925.471 is odd.
Term
(T/F): 788.169 is an odd number.
 Definition
False. EXPLANATION: A number that has digits to the right of the decimal points is neither even nor odd, so it is false to say that 788.169 is odd.
Term
(T/F): -1328.45 is an odd number.
 Definition
False. EXPLANATION: A number that has digits to the right of the decimal points is neither even nor odd, so it is false to say that -1328.45 is odd.
Term
(T/F): The square root of 57 is a rational number.
 Definition
False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 57, the square root of 57 is irrational.
Term
(T/F): The square root of 45 is a rational number.
 Definition
False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 45, the square root of 45 is irrational.
Term
(T/F): The square root of 63 is a rational number.
 Definition
False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 63, the square root of 63 is irrational.
Term
(T/F): The square root of 16 is a rational number.
 Definition
True. EXPLANATION: The square root of 16 is 4, which is an integer, and therefore rational.
Term
(T/F): The square root of 25 is a rational number.
 Definition
True. EXPLANATION: The square root of 25 is 5, which is an integer, and therefore rational.
Term
(T/F): The square root of 81 is a rational number.
 Definition
True. EXPLANATION: The square root of 81 is 9, which is an integer, and therefore rational.
Term
(T/F): The square root of 57 is an irrational number.
 Definition
True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 57, the square root of 57 is irrational.
Term
(T/F): The square root of 80 is an irrational number.
 Definition
True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 80, the square root of 80 is irrational.
Term
(T/F): The square root of 3 is an irrational number.
 Definition
True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 3, the square root of 3 is irrational.
Term
(T/F): The square root of 25 is an irrational number.
 Definition
False. EXPLANATION: The square root of 25 is 5, which is an integer, and therefore rational.
Term
(T/F): The square root of 25 is an irrational number.
 Definition
False. EXPLANATION: The square root of 25 is 5, which is an integer, and therefore rational.
Term
(T/F): The square root of 49 is an irrational number.
 Definition
False. EXPLANATION: The square root of 49 is 7, which is an integer, and therefore rational.
Term
(T/F): The number 17.7171717171. . . is rational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 71 repeats forever, so the number is rational.
Term
(T/F): The number 37.273273273273273. . . is rational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 273 repeats forever, so the number is rational.
Term
(T/F): The number 96.280280280280280. . . is rational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 280 repeats forever, so the number is rational.
Term
(T/F): The number 4.296296296296296. . . is irrational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 296 repeats forever, so the number is rational.
Term
(T/F): The number 80.111111111111111. . . is irrational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 111 repeats forever, so the number is rational.
Term
(T/F): The number 28.145145145145145. . . is irrational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 145 repeats forever, so the number is rational.
Term
(T/F): The number 36.38388388838888. . . is irrational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 8's after each 3 keeps growing, so the number is irrational.
Term
(T/F): The number 9.50500500050000. . . is irrational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 0's after each 5 keeps growing, so the number is irrational.
Term
(T/F): The number 32.91911911191111. . . is irrational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 1's after each 9 keeps growing, so the number is irrational.
Term
(T/F): The number 26.20200200020000. . . is rational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 0's after each 2 keeps growing, so the number is irrational.
Term
(T/F): The number 7.58588588858888. . . is rational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 8's after each 5 keeps growing, so the number is irrational.
Term
(T/F): The number 51.92922922292222. . . is rational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 2's after each 9 keeps growing, so the number is irrational.
Term
(T/F): 0 is an integer.
 Definition
True. EXPLANATION: An integer has no digits to the right of the decimal point. Since 0 has no digits to the right of the decimal point, it is an integer.
Term
(T/F): 4.9 is an integer.
 Definition
False. EXPLANATION: An integer has no digits to the right of the decimal point. Since 4.9 has one or more digits to the right of the decimal point, it is not an integer.
Term
(T/F): 9.83 is an integer.
 Definition
False. EXPLANATION: An integer has no digits to the right of the decimal point. Since 9.83 has one or more digits to the right of the decimal point, it is not an integer.
Term
(T/F): 9 is an integer.
 Definition
True. EXPLANATION: An integer has no digits to the right of the decimal point. Since 9 has no digits to the right of the decimal point, it is an integer.
Term
(T/F): -8 is an integer.
 Definition
True. EXPLANATION: An integer has no digits to the right of the decimal point. Since -8 has no digits to the right of the decimal point, it is an integer.
Term
(T/F): -8 is an integer.
 Definition
True. EXPLANATION: An integer has no digits to the right of the decimal point. Since -8 has no digits to the right of the decimal point, it is an integer.
Term
(T/F): 0 is an integer.
 Definition
True. EXPLANATION: An integer is a number with no digits to the right of the decimal point. Zero is therefore an integer.
Term
(T/F): 6 is an even number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 6 ends in 6, it is odd.
Term
(T/F): 9 is an even number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 9 ends in 9, it is odd.
Term
(T/F): 37 is an even number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 37 ends in 7, it is odd.
Term
(T/F): 22 is an odd number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 22 ends in 2, it is odd.
Term
(T/F): 9 is an odd number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 9 ends in 9, it is odd.
Term
(T/F): 7 is an odd number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 7 ends in 7, it is odd.
Term
(T/F): 1042 is an even number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 1042 ends in 2, it is even.
Term
(T/F): 259 is an even number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 259 ends in 9, it is odd.
Term
(T/F): 6 is an even number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 6 ends in 6, it is even.
Term
(T/F): 973 is an odd number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 973 ends in 3, it is odd.
Term
(T/F): -511 is an odd number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -511 ends in 1, it is odd.
Term
(T/F): -1611 is an odd number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -1611 ends in 1, it is odd.
Term
(T/F): -1722.281 is an odd number.
 Definition
False. EXPLANATION: A number that has digits to the right of the decimal points is neither even nor odd, so it is false to say that -1722.281 is odd.
Term
(T/F): -583.273 is an odd number.
 Definition
False. EXPLANATION: A number that has digits to the right of the decimal points is neither even nor odd, so it is false to say that -583.273 is odd.
Term
(T/F): -298.545 is an odd number.
 Definition
False. EXPLANATION: A number that has digits to the right of the decimal points is neither even nor odd, so it is false to say that -298.545 is odd.
Term
(T/F): The square root of 5 is a rational number.
 Definition
False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 5, the square root of 5 is irrational.
Term
(T/F): The square root of 57 is a rational number.
 Definition
False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 57, the square root of 57 is irrational.
Term
(T/F): The square root of 63 is a rational number.
 Definition
False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 63, the square root of 63 is irrational.
Term
(T/F): The square root of 81 is a rational number.
 Definition
True. EXPLANATION: The square root of 81 is 9, which is an integer, and therefore rational.
Term
(T/F): The square root of 64 is a rational number.
 Definition
True. EXPLANATION: The square root of 64 is 8, which is an integer, and therefore rational.
Term
(T/F): The square root of 9 is a rational number.
 Definition
True. EXPLANATION: The square root of 9 is 3, which is an integer, and therefore rational.
Term
(T/F): The square root of 22 is an irrational number.
 Definition
True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 22, the square root of 22 is irrational.
Term
(T/F): The square root of 57 is an irrational number.
 Definition
True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 57, the square root of 57 is irrational.
Term
(T/F): The square root of 3 is an irrational number.
 Definition
True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 3, the square root of 3 is irrational.
Term
(T/F): The square root of 9 is an irrational number.
 Definition
False. EXPLANATION: The square root of 9 is 3, which is an integer, and therefore rational.
Term
(T/F): The square root of 81 is an irrational number.
 Definition
False. EXPLANATION: The square root of 81 is 9, which is an integer, and therefore rational.
Term
(T/F): The square root of 36 is an irrational number.
 Definition
False. EXPLANATION: The square root of 36 is 6, which is an integer, and therefore rational.
Term
(T/F): The number 39.242242242242242. . . is rational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 242 repeats forever, so the number is rational.
Term
(T/F): The number 35.247247247247247. . . is rational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 247 repeats forever, so the number is rational.
Term
(T/F): The number 94.5454545454. . . is rational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 54 repeats forever, so the number is rational.
Term
(T/F): The number 91.3333333333. . . is irrational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 33 repeats forever, so the number is rational.
Term
(T/F): The number 76.278278278278278. . . is irrational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 278 repeats forever, so the number is rational.
Term
(T/F): The number 91.7474747474. . . is irrational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 74 repeats forever, so the number is rational.
Term
(T/F): The number 57.82822822282222. . . is irrational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 2's after each 8 keeps growing, so the number is irrational.
Term
(T/F): The number 21.97977977797777. . . is irrational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 7's after each 9 keeps growing, so the number is irrational.
Term
(T/F): The number 21.04044044404444. . . is irrational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 4's after each 0 keeps growing, so the number is irrational.
Term
(T/F): The number 92.28288288828888. . . is rational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 8's after each 2 keeps growing, so the number is irrational.
Term
(T/F): The number 4.71711711171111. . . is rational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 1's after each 7 keeps growing, so the number is irrational.
Term
(T/F): The number 20.54544544454444. . . is rational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 4's after each 5 keeps growing, so the number is irrational.
Term
(T/F): 8.2 is an integer.
 Definition
False. EXPLANATION: An integer has no digits to the right of the decimal point. Since 8.2 has one or more digits to the right of the decimal point, it is not an integer.
Term
(T/F): 8.3 is an integer.
 Definition
False. EXPLANATION: An integer has no digits to the right of the decimal point. Since 8.3 has one or more digits to the right of the decimal point, it is not an integer.
Term
(T/F): 1.62 is an integer.
 Definition
False. EXPLANATION: An integer has no digits to the right of the decimal point. Since 1.62 has one or more digits to the right of the decimal point, it is not an integer.
Term
(T/F): 8 is an integer.
 Definition
True. EXPLANATION: An integer has no digits to the right of the decimal point. Since 8 has no digits to the right of the decimal point, it is an integer.
Term
(T/F): -3.47 is an integer.
 Definition
False. EXPLANATION: An integer has no digits to the right of the decimal point. Since -3.47 has one or more digits to the right of the decimal point, it is not an integer.
Term
(T/F): -5.9 is an integer.
 Definition
False. EXPLANATION: An integer has no digits to the right of the decimal point. Since -5.9 has one or more digits to the right of the decimal point, it is not an integer.
Term
(T/F): 0 is an integer.
 Definition
True. EXPLANATION: An integer is a number with no digits to the right of the decimal point. Zero is therefore an integer.
Term
(T/F): 7 is an even number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 7 ends in 7, it is odd.
Term
(T/F): 25 is an even number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 25 ends in 5, it is odd.
Term
(T/F): 22 is an even number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 22 ends in 2, it is odd.
Term
(T/F): 11 is an odd number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 11 ends in 1, it is odd.
Term
(T/F): 26 is an odd number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 26 ends in 6, it is odd.
Term
(T/F): 15 is an odd number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 15 ends in 5, it is odd.
Term
(T/F): 1168 is an even number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 1168 ends in 8, it is even.
Term
(T/F): 1084 is an even number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 1084 ends in 4, it is even.
Term
(T/F): 1614 is an even number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since 1614 ends in 4, it is even.
Term
(T/F): -860 is an odd number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -860 ends in 0, it is even.
Term
(T/F): -888 is an odd number.
 Definition
False. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -888 ends in 8, it is even.
Term
(T/F): -293 is an odd number.
 Definition
True. EXPLANATION: A number is even if and only if it is an integer that ends in 0, 2, 4, 6, or 8. Integers that end in 1, 3, 5, 7, or 9 are odd. Since -293 ends in 3, it is odd.
Term
(T/F): 1593.459 is an odd number.
 Definition
False. EXPLANATION: A number that has digits to the right of the decimal points is neither even nor odd, so it is false to say that 1593.459 is odd.
Term
(T/F): 940.186 is an odd number.
 Definition
False. EXPLANATION: A number that has digits to the right of the decimal points is neither even nor odd, so it is false to say that 940.186 is odd.
Term
(T/F): 1880.203 is an odd number.
 Definition
False. EXPLANATION: A number that has digits to the right of the decimal points is neither even nor odd, so it is false to say that 1880.203 is odd.
Term
(T/F): The square root of 22 is a rational number.
 Definition
False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 22, the square root of 22 is irrational.
Term
(T/F): The square root of 22 is a rational number.
 Definition
False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 22, the square root of 22 is irrational.
Term
(T/F): The square root of 57 is a rational number.
 Definition
False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 57, the square root of 57 is irrational.
Term
(T/F): The square root of 81 is a rational number.
 Definition
True. EXPLANATION: The square root of 81 is 9, which is an integer, and therefore rational.
Term
(T/F): The square root of 16 is a rational number.
 Definition
True. EXPLANATION: The square root of 16 is 4, which is an integer, and therefore rational.
Term
(T/F): The square root of 64 is a rational number.
 Definition
True. EXPLANATION: The square root of 64 is 8, which is an integer, and therefore rational.
Term
(T/F): The square root of 5 is an irrational number.
 Definition
True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 5, the square root of 5 is irrational.
Term
(T/F): The square root of 3 is an irrational number.
 Definition
True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 3, the square root of 3 is irrational.
Term
(T/F): The square root of 99 is an irrational number.
 Definition
True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 99, the square root of 99 is irrational.
Term
(T/F): The square root of 81 is an irrational number.
 Definition
False. EXPLANATION: The square root of 81 is 9, which is an integer, and therefore rational.
Term
(T/F): The square root of 9 is an irrational number.
 Definition
False. EXPLANATION: The square root of 9 is 3, which is an integer, and therefore rational.
Term
(T/F): The square root of 64 is an irrational number.
 Definition
False. EXPLANATION: The square root of 64 is 8, which is an integer, and therefore rational.
Term
(T/F): The number 10.105105105105105. . . is rational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 105 repeats forever, so the number is rational.
Term
(T/F): The number 64.132132132132132. . . is rational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 132 repeats forever, so the number is rational.
Term
(T/F): The number 99.233233233233233. . . is rational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 233 repeats forever, so the number is rational.
Term
(T/F): The number 46.6969696969. . . is irrational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 69 repeats forever, so the number is rational.
Term
(T/F): The number 76.6969696969. . . is irrational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 69 repeats forever, so the number is rational.
Term
(T/F): The number 66.185185185185185. . . is irrational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 185 repeats forever, so the number is rational.
Term
(T/F): The number 77.51511511151111. . . is irrational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 1's after each 5 keeps growing, so the number is irrational.
Term
(T/F): The number 90.06066066606666. . . is irrational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 6's after each 0 keeps growing, so the number is irrational.
Term
(T/F): The number 33.23233233323333. . . is irrational.
 Definition
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 3's after each 2 keeps growing, so the number is irrational.
Term
(T/F): The number 40.61611611161111. . . is rational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 1's after each 6 keeps growing, so the number is irrational.
Term
(T/F): The number 68.01011011101111. . . is rational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 1's after each 0 keeps growing, so the number is irrational.
Term
(T/F): The number 18.82822822282222. . . is rational.
 Definition
False. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. Here, the number of 2's after each 8 keeps growing, so the number is irrational.
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