Name the property of real numbers illustrated by the equation.
π⋅3=3⋅π
(1 point)
Responses
Commutative Property of Addition
Commutative Property of Addition
Closure Property
Closure Property
Commutative Property of Multiplication
Commutative Property of Multiplication
Associative Property of Multiplication
Commutative Property of Multiplication
Which of the following correctly demonstrates the use of the Commutative Property of Multiplication?
a. 11(b+z)=11b+11z
b. 2(b^(10)-z^(11))=(b^(10)+z^(11))*2
c. z^(11)*2=z^(11)+2
d. 3(b^(10)+4)=3(4+b^(10))3
a. 11(b+z)=11b+11z
Which of the following correctly demonstrates the Commutative Property of Addition?
123+456=579
abcxyz=zyxcba
0+579=579
abc+xyz=xyz+abc
abc+xyz=xyz+abc
Use the Commutative Property to determine the missing step in proving the equivalence of 12a+10+a=10+a+12a.
Step 1: [missing]
Step 2: 10+13a=10+13a
Step 3: The expressions are equivalent because they both equal the same value.
10+12a+a=10+13a
12a+10+a−a=10+a+12a−a
12a+10=10+12a
12a+10+a−10=10+a+12a−10
Step 1: 12a+10+a = a+10+12a (Using the Commutative Property of Addition to change the order of terms)
Use the Commutative Property to determine the missing step in proving the equivalence of 12a+10+a=10+a+12a.
a. 10+12a+a=10+13a
b. 12a+10+a−a=10+a+12a−a
c. 12a+10=10+12a
d. 12a+10+a−10=10+a+12a−10
The missing step is:
d. 12a+10+a−10=10+a+12a−10 (Using the Commutative Property of Addition to reorder the terms)
Substituting 1 for x in the equation 5x + 3=x⋅5 + 3 is a test case for which property?
The Commutative Property of Multiplication
The Associative Property of Multiplication
The Commutative Property of Addition
The Associative Property of Addition