Question

lets use the associative property to help us solve \\(2 \times 30\\).

complete the equations by breaking 30 into two smaller factors.

\\(2 \times 30 = 2 \times\\) select factors of 30
\\(2 \times 30 = \square \times 6\\)
\\(2 \times 30 = \square\\)

Explanation:

Factor the number 30

We need to break \(30\) into two smaller factors. Since the next step shows a multiplication involving \(6\), we choose factors of \(30\) that include \(5\) and \(6\).
Using the Factoring Numbers knowledge point:

$$ 30 = 5 \times 6 $$

Apply the associative property

We substitute the factors back into the expression \(2 \times 30\).
Using the Associative Property knowledge point:

$$ 2 \times 30 = 2 \times (5 \times 6) $$

By regrouping the factors:

$$ 2 \times (5 \times 6) = (2 \times 5) \times 6 $$

We calculate the product inside the parentheses:

$$ 2 \times 5 = 10 $$

Thus, the equation becomes:

$$ 2 \times 30 = 10 \times 6 $$

Calculate the final product

We find the final value of the expression.
Using the Basic Multiplication knowledge point:

$$ 10 \times 6 = 60 $$

Answer:

Let's use the associative property to help us solve \(2 \times 30\).

Complete the equations by breaking \(30\) into two smaller factors.

\(2 \times 30 = 2 \times\) <blank>\(5 \times 6\)</blank>
\(2 \times 30 =\) <blank>\(10\)</blank> \(\times 6\)
\(2 \times 30 =\) <blank>\(60\)</blank>