QuestionAnswer the questions below about Line 1 and Line 2 shown below. $\begin{array}{c} 7 \cdot(2+1) \\ 7 \cdot 2+7 \cdot 1 \end{array}$ Line 1 Line 2
Answer Attempt 1 out of 2
The expression was rewritten using the $\square$ $7 \cdot(2+1)$ equals $7 \cdot$ $\square$ which equals $\square$ . $7 \cdot 2+7 \cdot 1$ equals $\square$ $+$ $\square$ which equals $\square$ .

Studdy Solution

STEP 1

1. We need to identify the mathematical property used to rewrite the expression from Line 1 to Line 2.
2. We need to evaluate both expressions to fill in the blanks.

STEP 2

1. Identify the mathematical property used to rewrite the expression.
2. Evaluate the expression in Line 1.
3. Evaluate the expression in Line 2.

STEP 3

Identify the mathematical property used. The expression in Line 1, $7 \cdot (2+1)$ , is rewritten in Line 2 as $7 \cdot 2 + 7 \cdot 1$ . This is an application of the distributive property of multiplication over addition.
The expression was rewritten using the distributive property.

STEP 4

Evaluate the expression in Line 1:
$7 \cdot (2+1) = 7 \cdot 3$
Calculate the product:
$7 \cdot 3 = 21$
So, $7 \cdot (2+1)$ equals $7 \cdot 3$ which equals $21$ .

STEP 5

Evaluate the expression in Line 2:
$7 \cdot 2 + 7 \cdot 1$
Calculate each product separately:
$7 \cdot 2 = 14$ $7 \cdot 1 = 7$
Add the results:
$14 + 7 = 21$
So, $7 \cdot 2 + 7 \cdot 1$ equals $14 + 7$ which equals $21$ .
Solution for the blanks: - The expression was rewritten using the distributive property. - $7 \cdot (2+1)$ equals $7 \cdot 3$ which equals $21$ . - $7 \cdot 2 + 7 \cdot 1$ equals $14 + 7$ which equals $21$ .

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