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# properties

### properties of real numbers

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 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