Question

lets use the associative property to help us solve \\(28 \times 2\\).

complete the equations by breaking 28 into two smaller factors.

\\(28 \times 2 = \text{select factors of 28} \times 2\\)

\\(28 \times 2 = 7 \times \square\\)

\\(28 \times 2 = \square\\)

Explanation:

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<reasoning>

Factor the number 28

Using the Factoring Numbers knowledge point
\[
28 = 7 \times 4
\]

Apply the associative property

Using the Associative Property knowledge point
\[

$$\begin{aligned} 28 \times 2 &= (7 \times 4) \times 2 \\ &= 7 \times (4 \times 2) \end{aligned}$$

\]

Simplify the grouped factors

Using the Basic Multiplication knowledge point
\[
4 \times 2 = 8
\]
\[
28 \times 2 = 7 \times 8
\]

Calculate the final product

Using the Basic Multiplication knowledge point
\[
7 \times 8 = 56
\]
</reasoning>

<answer>
Let's use the associative property to help us solve \(28 \times 2\).

Complete the equations by breaking 28 into two smaller factors.

\(28 \times 2 =\) <blank>\((7 \times 4)\)</blank> \(\times 2\)
\(28 \times 2 = 7 \times\) <blank>\(8\)</blank>
\(28 \times 2 =\) <blank>\(56\)</blank>
</answer>

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"Mathematics",
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]
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Answer:

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<reasoning>

Factor the number 28

Using the Factoring Numbers knowledge point
\[
28 = 7 \times 4
\]

Apply the associative property

Using the Associative Property knowledge point
\[

$$\begin{aligned} 28 \times 2 &= (7 \times 4) \times 2 \\ &= 7 \times (4 \times 2) \end{aligned}$$

\]

Simplify the grouped factors

Using the Basic Multiplication knowledge point
\[
4 \times 2 = 8
\]
\[
28 \times 2 = 7 \times 8
\]

Calculate the final product

Using the Basic Multiplication knowledge point
\[
7 \times 8 = 56
\]
</reasoning>

<answer>
Let's use the associative property to help us solve \(28 \times 2\).

Complete the equations by breaking 28 into two smaller factors.

\(28 \times 2 =\) <blank>\((7 \times 4)\)</blank> \(\times 2\)
\(28 \times 2 = 7 \times\) <blank>\(8\)</blank>
\(28 \times 2 =\) <blank>\(56\)</blank>
</answer>

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"Mathematics",
"Algebra",
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