Question Video: Understanding that the Associative Property Allows Us to Multiply Three Numbers in Any Order Mathematics • 3rd Grade

When we multiply three numbers, we can choose which calculation to do first. Do the highlighted calculations to find the missing numbers. 6 × 5 × 2 = 6 × ＿. 6 × 5 × 2 = ＿ × 2. What is 6 × 5 × 2?

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Video Transcript

When we multiply three numbers, we can choose which calculation to do first. Do the highlighted calculations to find the missing numbers. Six times five times two equals six times what. Six times five times two equals what times two. What is six times five times two?

In this question, we’re being asked to multiply three one-digit numbers together: six, five, and two. The question tells us that we can choose which calculation to do first. We have to do the highlighted calculations to find the missing number. In the first calculation, we have to multiply five times two first. We know that five times two is 10, so six times five times two is equal to six times 10. So the missing number in the first calculation is 10.

The second calculation is the same as the first. We’re still finding six times five times two, but this time we have to multiply six by five first. Six times five is 30. Now all we have to do is multiply 30 by two. The missing number in the first calculation is 10, and the missing number in the second calculation is 30. So to find six times five times two, if we multiply five by two first, we get 10. And then we multiply six by 10. So the product of six times five times two is 60.

Let’s check if we get the same answer in our second calculation. Six times five is 30, and 30 times two is also 60. It doesn’t matter how we group the factors; the product doesn’t change. This question is all about the associative property of multiplication. It doesn’t matter how we group the factors; the product stays the same. Six times five times two equals 60.