Term
| Commutative properties of addition and multiplication |
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Definition
Changing the order of values you are adding or multiplying does not change the sum or product.
Arithmetic Algebra
6+4=4+6 a+b=b+a
9*5=5*9 a*b=b*a |
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Term
| Associative properties of additon and multiplication |
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Definition
Changing the grouging of values you are adding or multiplying does not change the sum or product.
Arithmetic Algebra
(2+7)+3=2+(7+3) (a+b)+c=a+(b+c)
(9*4)5=9(4*5) (ab)c=a(bc) |
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Term
| Identity properties of addition and multiplication |
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Definition
The sum of any number and zero is the original number. The product of any number and one is the original number.
Arithmetic Algebra
12+0=12 a+0=a
10*1=10 a*1=a |
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Term
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Definition
To multiply the sum or differance, multiply each number withen the parentheses by the numbe outside the parentheses.
Arithmetic Algebra
3(2+6)=3(2)+3(6) a(b+c)=ab+ac |
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Term
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Definition
a number or the product of a number and variable(s).
7, 6b, 92, 23, 5d, etc. |
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Term
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Definition
a term that has no variable
3, 9, 4, 8, 1, 5, 12, etc. |
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Term
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Definition
terms that have identical variables.
7a, 4a, 3a, 8a, 9a, etc. |
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Term
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Definition
a number that multiplies a variable.
"6"a, "9"b, etc. |
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