Glencoe Math: Course 2, Volume 2
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Glencoe Math: Course 2, Volume 2 View details
4. The Distributive Property
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Exercise 17 Page 380

Use the distributive property to find the product in multiple steps.

672, see solution.

Practice makes perfect
If we want to use mental math to find a product, dividing the product into a sum of smaller products can be useful. This would require using the distributive property. Let's try it!
112 * 6
(100 + 10 + 2) * 6
100* 6 + 10*6 + 2*6
Now we can use mental math to find each product. Let's start with the product of 6 times 2.

6* 2 = 12 To multiply 6 by 10, we can start by multiplying 6 by 1. Then, we add a 0 to the right of the resulting number. 6* 1 = 6 ⇓ 6* 1 0 = 6 0 Similarly, to multiply 6 by 100, we only need to add another 0 to 60. 6* 10 = 60 ⇓ 6* 10 0 = 60 0 Finally, we can add the numbers to find the product! 12 + 60 + 600 = 672 We have found the product. Good job!