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How could you use the distributive property to solve 72 by 6 in your head?
Wiki User
∙ 12y ago
Treat 72 as 70 + 2:
70 * 6 = 420
2 * 6 = 12
420 + 12 = 432
Equivalently, 6(70 + 2) = 432.
Theoretically, you can break 72 (or even 6) down into whatever you like, though it becomes harder instead of easier if you break the numbers into too many components. For instance, 6(10 + 10 + 10 + 10 + 10 + 10 + 10 + 2) = 432 as well, but adding 60 repeatedly is time-consuming and unhelpful. Breaking both down, you could try (4 + 2)(10 + 10 + 10 + 10 + 10 + 10 + 10 + 2) even, which might be good for someone who is only capable of very basic multiplication, but would expand to 40 + 40 + 40 + 40 + 40 + 40 + 40 + 8 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 4, which still = 432.
Basically, when breaking things down like this, use common sense to make the problem easier instead of harder.
Wiki User
∙ 12y ago
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