Question

question answer the questions below about line 1 and line 2 shown below. 6·5 5·6 line 1 line 2 answer attempt 2 out of 2 the expression was rewritten using the 6·5 means 5 + 5 + 5 + 5 + 5 + 5 which equals 30. 5·6 means 6 + 6 + 6 + 6 + 6 which equals 30.

Explanation:

Step1: Recall multiplication as repeated addition

Multiplication $a\times b$ means adding $b$ a - times or adding $a$ b - times.
For $6\times5$, it means adding 5 six - times: $5 + 5+5 + 5+5 + 5$.
For $5\times6$, it means adding 6 five - times: $6 + 6+6 + 6+6$.

Step2: Calculate the sums

$5+5+5 + 5+5 + 5=30$ and $6 + 6+6 + 6+6=30$. Also, the expressions $6\times5$ and $5\times6$ are equal due to the commutative property of multiplication which states that for any two numbers $a$ and $b$, $a\times b=b\times a$.

Answer:

The expression was rewritten using the commutative property of multiplication. $6\times5$ means $5 + 5+5 + 5+5 + 5$ which equals $30$. $5\times6$ means $6 + 6+6 + 6+6$ which equals $30$.