Question

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

[ 7 × 53/27 × 53 - 2/53 ]

a) Associative property of multiplication
b) Commutative property of addition
c) Distributive property
d) Multiplicative inverse

Answer 1

The properties used to simplify the expression are Associative property of multiplication, Distributive property, and Multiplicative inverse.

Step-by-step explanation:

The properties that were used to simplify the given expression are:

1. Associative property of multiplication: This property allows us to group the factors in any way without changing the result. For example, (7 × 53) can be written as (53 × 7) and the result will be the same.
2. Distributive property: This property allows us to distribute a factor to each term inside parentheses. For example, 7 × (53 - 2) can be expanded as (7 × 53) - (7 × 2).
3. Multiplicative inverse: This property states that the product of a number and its reciprocal is always 1. In this case, 53/27 has a reciprocal of 27/53, and multiplying them gives 1.