Question

Choose all properties that were used to simplify the following problem:

(Possible answers)
1 associative property of addition
2 associative property of multiplication
3 multiplicative inverse
4 commutative property of multiplication
5 multiplicative identity
6 distributive property
7 commutative property of addition
Multiple choice!

Answer 1

In order of operations

• commutative property of multiplication
• multiplicative inverse
• multiplicative identity

Explanation:

==>
`(2)/(7) \cdot 53 \cdot {7}{2} \\53 \cdot (2)/(7) \cdot {7}{2} \\`
Commutative property of multiplication : With multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer.
`a \cdot b \cdot c = b \cdot a\cdot c`

==>
`53 \cdot 1`
Multiplicative Inverse : A number multiplied by its reciprocal equals

1 :
`(a)/(b)\cdot(b)/(a) = 1`

==> 53

Multiplicative Identity: Multiplying a number by 1 leaves the number unchanged:
`a\cdot1 = a`