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1.2 Properties
Properties of Real Numbers
| Question | Answer |
|---|---|
| 4+(a+b)=(a+b)+4 | Commutative Property of Addition |
| 14+16=16+14 | Commutative Property of Addition |
| (math) x (1/math) = 1 | Inverse Property of Multiplication |
| xy=yx | Commutative Property of Multiplication |
| a+b+(-a) = b | Inverse Property of Addition |
| Can 0 be a multiplicative identity? Why or not? | No, because a number multiplied by 0 equals 0, not the original value of the number. |
| (4+y)+z = 4+(y+z) | Associative Property of Addition |
| 1(a+b) = a+b | Multiplicative Identity |
| ab+cd+(-ab) = cd | Inverse Property of Addition |
| Can 1 be the additive identity? Why or why not? | No, because 1 does not give the original value of the number. It only increases the value 1. |
| −41+0 = −41 | Additive Identity |
| Zero plus seven equals seven | Additive Identity |
| (6a)(8x)(1/6a) = 8x | Inverse Property of Multiplication |
| Can a property ever be false? Why or why not? | No, a property is a statement that is true for every real number. |
| 1(b) = b | Multiplicative Identity |
| (5+q)+(-3)=(q+5)+(-3) | Commutative Property of Addition |
| (12)(−8)=(−8)(12) | Commutative Property of Multiplication |
| 3•(9•0)=(3•9)•0 | Associative Property of Multiplication |
| (-3+4)+5 = 5+(-3+4) | Commutative Property of Addition |
| (4m)n=4(mn) | Associative Property of Multiplication |
| (a+b)+c=a+(b+c) | Associative Property of Addition |
| 2(3+6) = 2•3 + 2•6 | Distributive Property |
| 2(5a)+2(4b)=2(5a+4b) | Distributive Property |
| Use the distributive property to rewrite −4(x+2) | -4x - 8 |
Created by:
Ms. Doulis
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