Question

nova knows that 8 and 7 are a factor pair of 56 because 56 = 8 \
complete the equation.\
56 = 8 × 7\
= (4 × 2) × 7 \\t\tbreak apart one of the factors.\
= 4 × ( ? × 7) \tregroup the factors.

Explanation:

Step1: Recall Associative Property

The associative property of multiplication states that \((a \times b) \times c = a \times (b \times c)\). Here, we have \((4 \times 2) \times 7\) and we need to regroup it as \(4 \times ( \square \times 7)\).

Step2: Apply the Property

Comparing with the associative property, \(a = 4\), \(b = 2\), and \(c = 7\). So when we regroup \((4 \times 2) \times 7\) to \(4 \times (2 \times 7)\), the missing number is 2.

Answer:

2