Question

answer the questions below about line 1 and line 2 shown below. 5 cdot (3 + 6) line 1 5 cdot 3+5 cdot 6 line 2 answer attempt 1 out of 2 the expression was rewritten using the 5 cdot (3 + 6) equals 5cdot square which equals square. 5 cdot 3 + 5 cdot 6 equals square+square which equals square.

Explanation:

Step1: Identify the property

The expression $5\cdot(3 + 6)$ was rewritten as $5\cdot3+5\cdot6$ using the distributive property of multiplication over addition.

Step2: Simplify $5\cdot(3 + 6)$

First, calculate the sum inside the parentheses: $3+6 = 9$. Then, $5\cdot(3 + 6)=5\cdot9 = 45$.

Step3: Simplify $5\cdot3+5\cdot6$

Calculate each multiplication: $5\cdot3 = 15$ and $5\cdot6=30$. Then, $5\cdot3 + 5\cdot6=15 + 30=45$.

Answer:

The expression was rewritten using the distributive property.
$5\cdot(3 + 6)$ equals $5\cdot9$ which equals $45$.
$5\cdot3 + 5\cdot6$ equals $15+30$ which equals $45$.