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Sort the Steps – Associative Property

publish date2026/05/10 01:12:8.014027 UTC

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Please drag and drop the options to sort them

Drag the solution steps for \((17 \times 50) \times 2\) into the correct order.

Multiply: \(17 \times 100 = 1{,}700\)
Identify a helpful pair: 50 and 2
Regroup: \(17 \times (50 \times 2)\)
Multiply inside parentheses: \(50 \times 2 = 100\)

Correct Answer

(1) Identify a helpful pair: 50 and 2
(2) Regroup: \(17 \times (50 \times 2)\)
(3) Multiply inside parentheses: \(50 \times 2 = 100\)
(4) Multiply: \(17 \times 100 = 1{,}700\)

Explanation

The key strategy: identify two factors whose product is a round number (like 100), regroup using the associative property, multiply that pair first, then multiply the result by the remaining factor.

Reference

Mathematics for college students


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