Question

answer the questions below about line 1 and line 2 shown below.
4·2 \t\tline 1
2·4 \t\tline 2

answer attempt 1 out of 2

the expression was rewritten using the

4·2 means □ + □ + □ + □ which equals □.

2·4 means □ + □ which equals □.

Explanation:

Step1: Analyze \(4 \cdot 2\)

\(4 \cdot 2\) means adding 2 four times. So we have \(2 + 2 + 2 + 2\).
Calculating the sum: \(2+2 = 4\), \(4+2 = 6\), \(6+2 = 8\). So \(4 \cdot 2 = 8\).

Step2: Analyze \(2 \cdot 4\)

\(2 \cdot 4\) means adding 4 two times. So we have \(4 + 4\).
Calculating the sum: \(4+4 = 8\). So \(2 \cdot 4 = 8\). Also, the rewrite from \(4 \cdot 2\) to \(2 \cdot 4\) uses the commutative property of multiplication (though the first part focuses on the addition interpretation of multiplication).

Answer:

The expression was rewritten using the commutative property of multiplication.
\(4 \cdot 2\) means \(2 + 2 + 2 + 2\) which equals \(8\).
\(2 \cdot 4\) means \(4 + 4\) which equals \(8\).