Question

Select the number property that will justify the step in the following expression.

4 • 13 • 25 =
4 • 25 • 13 =
100 • 13 = 1,300
which one?
Commutative-Addition,
Identity-Multiplication,
Commutative-Multiplication,
Transitive

Answer 1

Two of the numbers were switched in a multiplication equation, so the answer would be commutative- multiplication. 

Answer 2

The number property that justifies the step in the following expression is:

Commutative-Multiplication

Explanation:

We are given a steps to solve the problem as follows:

4 • 13 • 25 =

4 • 25 • 13 =

100 • 13 = 1,300

We know that the commutative property under multiplication states that:

If a and b are two real numbers then:

`a\cdot b=b\cdot a`

i.e. the multiplication of two real numbers are always equal no matter in which order they are applied.

Here in the second step the order 13 and 25 are changed.

and then they are operated.

Hence, the property is:

Commutative-Multiplication.