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:

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:

$$ 5 \times 18 = 90 $$

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>