Question

How many 8's are in the answer and sum 5890/45?

Answer 1

Answer:

• 1. There are infinite 8's

• 2. The estimate is 130.89

• 3. The difference is 0.01

Explanation:

There are countless, or infinite, 8's in the answer because the result is a periodic decimal:

        $\dfrac{5890}{45}=130.8888 . . .$

The notation used for the periodic decimal numbers is an arc over the number that is repeated. In this case, it would be an arc over the first 8.

I will use a bar just to show how it is, but instead of a bar it should be an arc:

          $\dfrac{5890}{45}=130.\overline 8$

The estimation or approximation to two decimal places requires to drop the 8's since the third one and increase the second 8 to 9 (because the first decimal dropped is greater than or equal to 5).

Thus the estimated value would be 13.89.

The difference is:

• 130.89 - 130.888. . . = 0.0111. . .
• Rounded to 2 decimal places: 0.01