Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction. How do the estimated and actual products compare?
(Hint: use 18 for the denominator when estimating.)
The actual product is about StartFraction 1 over 18 EndFraction greater than the estimate.
The actual product is about StartFraction 1 over 18 EndFraction less than the estimate.
The actual product is about StartFraction 1 over 9 EndFraction greater than the estimate.
The actual product is about StartFraction 1 over 9 EndFraction less than the estimate.
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Step-by-step explanation:
Given Vassil rounded to the nearest half to estimate the product of Five-eighths and Start Fraction 8 over 9 End Fraction. How do the estimated and actual products compare?
- So we have
- Product of 5/8 and 8/9 will be
- 5/8 x 8/9
- = 5/9
- So the actual product = 5/9
- And Estimated product is ½
- Therefore difference between actual product and estimated product will be
- 5/9 – ½
- 10 – 9 / 18
- = 1/18
- So the actual product is about 1/18 greater than the estimate
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