Question

lets use the associative property to help us solve \\(5 \times 18\\).

complete the equations by breaking 18 into two smaller factors.

\\(5 \times 18 = 5 \times\\) select factors of 18
\\(5 \times 18 = \square \times 9\\)
\\(5 \times 18 = \square\\)

Explanation:

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<reasoning>

Factor the number 18

We break down \(18\) into two smaller factors.
Using Factoring Numbers:
\[
18 = 2 \times 9
\]
So, the first equation becomes:
\[
5 \times 18 = 5 \times (2 \times 9)
\]

Apply associative property

We regroup the factors.
Using Associative Property:
\[
5 \times (2 \times 9) = (5 \times 2) \times 9
\]
Calculating the product inside the parentheses:
\[
5 \times 2 = 10
\]
So, the second equation becomes:
\[
5 \times 18 = 10 \times 9
\]

Calculate final product

We find the final result.
Using Basic Multiplication:
\[
10 \times 9 = 90
\]
So, the third equation becomes:
\[
5 \times 18 = 90
\]
</reasoning>

<answer>
Let's use the associative property to help us solve \(5 \times 18\).

Complete the equations by breaking \(18\) into two smaller factors:
\(5 \times 18 = 5 \times\) <blank>\(2 \times 9\)</blank>
\(5 \times 18 =\) <blank>\(10\)</blank> \(\times 9\)
\(5 \times 18 =\) <blank>\(90\)</blank>
</answer>

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Answer:

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<reasoning>

Factor the number 18

We break down \(18\) into two smaller factors.
Using Factoring Numbers:
\[
18 = 2 \times 9
\]
So, the first equation becomes:
\[
5 \times 18 = 5 \times (2 \times 9)
\]

Apply associative property

We regroup the factors.
Using Associative Property:
\[
5 \times (2 \times 9) = (5 \times 2) \times 9
\]
Calculating the product inside the parentheses:
\[
5 \times 2 = 10
\]
So, the second equation becomes:
\[
5 \times 18 = 10 \times 9
\]

Calculate final product

We find the final result.
Using Basic Multiplication:
\[
10 \times 9 = 90
\]
So, the third equation becomes:
\[
5 \times 18 = 90
\]
</reasoning>

<answer>
Let's use the associative property to help us solve \(5 \times 18\).

Complete the equations by breaking \(18\) into two smaller factors:
\(5 \times 18 = 5 \times\) <blank>\(2 \times 9\)</blank>
\(5 \times 18 =\) <blank>\(10\)</blank> \(\times 9\)
\(5 \times 18 =\) <blank>\(90\)</blank>
</answer>

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"Associative Property"
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