Term
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Definition
FOR ANY NUMBER A, THE SUM OF A AND 0 IS A.
A+0=A |
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Term
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Definition
A NUMBER AND ITS OPPOSITE ARE ADDICTIVE INVERSES OF EACH OTHER. THE SUM OF A NUMBER AND ITS ADDITIVE INVERSE IS 0.
4+-4=0 |
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Term
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Definition
FOR ANY NUMBER A, THE PRODUCT OF A AND 1 IS A.
A*1=A |
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Term
| MULTIPLICATIVE PROPERTY OF ZERO |
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Definition
FOR ANY NUMBER A, THE PRODUCT OF A AND 0 IS 0.
A*0=0 |
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Term
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Definition
THE ORDER IN WHICH YOU ADD OR MULTIPLY DOES NOT CHANGE THE SUM OR PRODUCT.
A+B=B+A
A(B)=B(A) |
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Term
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Definition
FOR EVERY NUMBER A/B. WHERE B ╪ 0, THERE IS EXACTLY ONE NUMBER B/A SUCH THAT THE PRODUCT OF A/B AND B/A IS 1
2(1/2)=2/2=1 |
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Term
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Definition
THE WAY YOU GROUP THREE OR MORE NUMBERS WHEN ADDING OR MULTIPLYING DOES NOT CHANGE THE SUM OR PRODUCT.
(A+B)+C=A+(B+C)
[A(B)]C=A[B(C)] |
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Term
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Definition
FOR ANY NUMBERS, A, B, AND C
A(B+C)=AB+AC |
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Term
| DEFINITION OF SUBTRACTION |
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Definition
FOR ANY NUMBER A AND B,
A-B=A+-B
ALWAYS ADD THE OPPOSITE |
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Term
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Definition
FOR ANY NUMBER A & B,
A/B=A(1/B) |
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Term
| ADDITION PROPERTY OF EQUALITY |
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Definition
IF AN EQUATION IS TRUE AND THE SAME NUMBER IS ADDED TO EACH SIDE OF THE EQUATION, THE RESULTING EQUIVALENT EQUATION IS ALSO TRUE
IF A+6=8, THEN
A+6+2=8+2 |
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Term
| MULTIPLICATION PROPERTY OF EQUALITY |
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Definition
| IF AN EQUATION IS TRUE AND EACH SIDE IS MULTIPLIED BY THE SAME NONZERO NUMBER, THE RESULTING EQUATION IS EQUIVALENT. |
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