Question

associative property
we can change which numbers
are grouped together.
find the missing number.
3 × (9 × 6) = (? × 9) × 6

Explanation:

Step1: Recall Associative Property

The associative property of multiplication states that \((a \times b) \times c = a \times (b \times c)\), which means we can regroup the factors without changing the product.

Step2: Apply to the Equation

Given \(3 \times (9 \times 6) = ([?] \times 9) \times 6\), by the associative property, the missing number should be the same as the first factor on the left - hand side, which is 3. We can verify:
Left - hand side: \(3\times(9\times6)=3\times54 = 162\)
Right - hand side: \((3\times9)\times6 = 27\times6=162\)

Answer:

3