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O, 1, 2, 3... NUMBERS INCLUDING 0 |
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TO FIND THE NUMBER(S) THAT MAKES THE PROBLEM CORRECT |
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A MATH SENTENCE THAT HAS AT LEAST ONE VARIABLE |
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A LETTTER THAT REPRESENTS ON OR MORE NUMBERS. |
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PRODUCT IN WHICH THE FACTORS ARE THE SAME |
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a + b = b + a
a + b + c = c + a + b |
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COMMUNITIVE PROPERTY OF ADDITION
[The order of addition does not change the sum.] |
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COMMUNITIVE PROPERTY OF MUTIPLICATION
[The order does not change the product.] |
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ANY NUMBER THAT CAN BE EXPRESSED IN THE FORM a/b (b ≠ 0) |
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(a + b) + c = a + (b + c) |
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ASSOCIATIVE PROPERTY OF ADDTION [Numbers can be grouped any way, and it will not change the sum.] |
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ASSOCIATIVE PROPERTY OF MULTIPLICATION [Numbers can be grouped in any way, and it will not chang the product.] |
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FIND THE SIMPLIST FORM OF THE SENTENCE. |
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TWO OR MORE NUMBERS ARE MULTIPLIED. THE ANSWER IS A PRODUCT. |
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MATH SENTENCES THAT ARE EQUAL |
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NATURAL NUMBERS OR COUNTING NUMBERS |
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REPLACE THE VARIABLE WITH A NUMBER. |
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FOR ALL RATIONAL NUMBERS a, b and c, if a = b then ac = bc |
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Definition
MULTIPLICATION PROPERTY OF EQUALITY |
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34:10 34 DIVIDED BY 10, or 3.4 |
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Definition
RATIO WHEN TWO QUANTITIES ARE COMPARED. |
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AN EQUATION THAT STATES TWO RATIOS ARE EQUAL |
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THE RATION OF A NUMBER TO 100 |
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NUMBERS THAT ARE THE SAME DISTANCE BUT IN OPPOSITE DIRECTIONS FROM ZERO ON THE NUMBER LINE |
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{...-4, -3, -2, -1, 0, 1, 2, 3, 4...} |
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NUMBERS TO THE RIGHT OF 0 ON THE NUMBER LINE |
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NUMBERS THAT ARE TO THE LEFT OF 0 ON THE NUMBER LINE |
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THE DISTANCE LEFT or RIGHT OF 0 WRITTEN IN A POSTITVE NUMBER |
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ANY NUMBER THAT CAN BE EXPRESSED AS THE RATIO OF TWO INTEGERS a/b
(b does not equal 0) |
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THE POINT ON A NUMBER LINE FOR EVERY RATIONAL NUMBER |
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WHEN WE DRAW A POINT FOR A NUMBER ON A NUMBER LINE IT IS SAID WE HAVE _______________ THE NUMBER |
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TWO NUMBERS WHOSE SUM IS 0
a + (-a) = 0 |
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FOR ALL RATIONAL NUMBERS a, b a - b is the number c such that c + b = a |
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MULTIPLICATIVE PROPERTY OF ZERO |
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Definition
ANY RATIONAL NUMBER MULTIPLIED BY ZERO EQUALS ZERO. |
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THE ANSWER TO A DIVISION PROBLEM |
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MULTIPLICATIVE INVERSES SAME AS RECIPROCALS |
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Definition
TWO RATIONAL NUMBERS WHOSE PRODUCT IS 1 EXAMPLE: a/1 x 1/a = 1 |
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A DECIMAL THAT NEITHER ENDS OR REPEATS. |
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a(b + c) = ab + ac
(b + c)a = ba + ca |
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Definition
DISTRIBUTIVE PROPERTY OF MULTIPLICATION OVER ADDITION |
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a(b - c) = ab - ac
(b - c)a = ba - ca |
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DISTRIBUTIVE PROPERTY OF MULTIPLICATION OVER SUBTRATION |
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THE INVERSE OF A SUM PROPERTY |
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PROPERTIES WE ACCEPT WITHOUT PROOF |
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ANY NUMBER SYSTEM IN WHICH AXIOMS HOLD |
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THE CLOSURE PROPERTY FOR RATIONAL NUMBERS GUARANTEE THAT THE SUM AND THE PRODUCT OF ANY TWO RATIONAL NUMBERS ARE ALSO RATIONAL NUMBERS. |
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