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Explain how to estimate the product of 12 x 6. Use complete sentences in your answer.


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I need a written response pls not just the answer

User Iiro
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Answer:

10×6 with 20% added = 60+12 = 72

Explanation:

There are several ways to estimate the product of these numbers. One way is to round 12 to 10, then multiply 10×6 to get 60 as an estimate. You know this estimate is low, because you rounded down from 12 to 10. You know that a better estimate will be about 20% higher, because 12 is 20% higher than 10.

The product can be computed mentally by recognizing that 12 is 6×2, so the product will be 6²×2. Most schools have you memorize your times tables at least through 10×10, so you already know that 6² is 36. Doubling that value (to 72) gives you the value of 6×12.

Another way to estimate the product is to round 12 to 10 and 6 to 5. Again, you know each of these "stand-in" values needs to be increased by 20% to match the real values. Then the product estimate is 10×5 = 50, and you judge that to be low by 20% +20% = 40%. 40% more than 50 gives you a refined estimate of 70, but you know that, too, is low by a small amount. (Percentage changes can only be added accurately when they are very small. The true error is 44%, which is 20%+20%+(20%)(20%).)

User Midnight
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