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 comparing.)
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.
First, we need to find the estimated product of Five-eighths and StartFraction 8 over 9 EndFraction by rounding to the nearest half.
Five-eighths is approximately 0.625.
StartFraction 8 over 9 EndFraction is approximately 0.8889.
0.625 * 0.8889 = 0.5555
Rounding 0.5555 to the nearest half gives us approximately 0.5.
To find the actual product, we multiply Five-eighths (0.625) by StartFraction 8 over 9 EndFraction (0.8889) using a denominator of 18.
0.625 * 0.8889 = 0.5556
Rounding 0.5556 to the nearest half gives us approximately 0.5.
So, the actual product is about StartFraction 1 over 18 EndFraction greater than the estimate.