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estimating products of fraction
- Thread starter lily
- Start date
I don't know what compatible numbers and benchmark fractions are. But looking at your problems I see the following:
7/8 x 57 >>> if it were 7/8 x 56 the answer would be 49 because 56/8 is 7 and 7X7 is 49, so our estimated answer must be a little more than 49, say 50. I also see that 7/8 is less than but fairly close to 1. One times 57 is 57 so our estimated answer has to be less than 57 but somewhat close to it.
8/9 x 27 >>> I don't see that an estimate is appropriate. The exact answer is staring us in the face. 1/9 of 27 is 3, so 8/9 is 8 times 1/9 of 27 or 24. Here again, we see that 8/9 is just under 1. Therefore, our estimated answer would be under 27 and 24 seems to fill the bill.
I don't think this is what you are after. Possibly, it will help shed some light.
7/8 x 57 >>> if it were 7/8 x 56 the answer would be 49 because 56/8 is 7 and 7X7 is 49, so our estimated answer must be a little more than 49, say 50. I also see that 7/8 is less than but fairly close to 1. One times 57 is 57 so our estimated answer has to be less than 57 but somewhat close to it.
8/9 x 27 >>> I don't see that an estimate is appropriate. The exact answer is staring us in the face. 1/9 of 27 is 3, so 8/9 is 8 times 1/9 of 27 or 24. Here again, we see that 8/9 is just under 1. Therefore, our estimated answer would be under 27 and 24 seems to fill the bill.
I don't think this is what you are after. Possibly, it will help shed some light.