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properties
properties of real numbers
| Question | Answer |
|---|---|
| 4+(a+b)=(a+b)+4 $1000 | Commutative Property of Addition |
| 14+16=16+14 $2000 | Commutative Property of Addition |
| (math) x (1/math) = 1 $3000 | Inverse Property of Multiplication |
| There is only one real number that is the sum of 2.1 and 0.5 $4000 | Closure Property of Addition |
| xy=yx $1000 | Commutative Property of Multiplication |
| a+b+(-a) = b $2000 | Inverse Property of Addition |
| There is only one real number that is the product of 5 and 6 $3000 | Closure Property of Multiplication |
| Can 0 be a multiplication identity element? Why or not? $4000 | No, because a number multiplied by 0 equals 0, not the original value of the number. |
| (4+y)+z = 4+(y+z) $1000 | Associative Property of Addition |
| 1(a+b) = a+b $2000 | Identity Element of Multiplication |
| ab+cd+(-ab) = cd $3000 | Inverse Property of Addition |
| Can 1 be an addition identity element? Why or why not? $4000 | No, because 1 does not give the original value of the number. It only increases the value 1. |
| −41+0 = −41 $1000 | Identity Element of Addition |
| Zero plus seven equals seven $2000 | Identity Element of Addition |
| (6a)(8x)(1/6a) = 8x $3000 | Inverse Property of Multiplicationj |
| Can a property ever be false? Why or why not? $4000 | No, a property is a statement that is true for every real number. |
| 1(b) = b $1000 | Identity Element of Multiplication |
| (5+q)+(-3)=(q+5)+(-3) $2000 | Commutative Property of Addition |
| If “add”=”increase” and “increase”=”plus”, then “add”=”plus” $3000 | Transitive Property of Equality |
| If 8=5+3, then 5+3=8 $4000 | Symmetric Property of Equality |
| (12)(−8)=(−8)(12) $1000 | Commutative Property of Multiplication |
| 3•(9•0)=(3•9)•0 $2000 | Associative Property of Multiplication |
| If w+2=7 and 7=5+2 then w+2=5+2 $3000 | Transitive Property of Equality |
| (-3+4)+5 = 5+(-3+4) $4000 | Commutative Property of Addition |
| (4m)n=4(mn) $1000 | Associative Property of Multiplication |
| (a+b)+c=a+(b+c) $2000 | Associative Property of Addition |
| If a=b-c, then b-c=a $3000 | Symmetric Property of Equality |
| 9+5=(6+3)+5 $4000 | Substitution Property |
| 2(3+6) = 2•3 + 2•6 $1000 | Distributive Property |
| Every real number is equal to itself $2000 | Reflexive Property of Equality |
| 2(5a)+2(4b)=2(5a+4b) $3000 | Distributive Property |
| 3+(2+1)=3+3 $4000 | Substitution Property |
| 1/2 • 5 = 1/2 • 5 $1000 | Reflexive Property of Equality |
| Use the distributive property to rewrite −4(x+2) $2000 | -4x - 8 |
| If 6+5=10+1 and 10+1=15-4, then 6+5=15-4 $3000 | Transitive Property of Equality |
| If n= -5, then 3n = -15 | Substitution Property |
Created by:
bquimby
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