Question

17. Scott cuts his birthday cake into nine equal pieces and eats two of them.

A. Use long division to compute in decimal form how much of the cake he ate. (Ensure your answer includes the first four digits of the decimal.)

B. Does the decimal appear to repeat indefinitely or end in zeros?

Answer 1

A. 0.2222

B. Repeat indefinitely

Explanation:

A. We have that Scott has 9 pieces in total and he eats 2 of them. That means he eats 2 out of the 9, so we have 2 ÷ 9. (see attachment)

The decimal form is: 0.2222.

B. Clearly, we can see that throughout the long division, we keep getting 20 - 18 = 2, which makes another 20 and so on. So, this will repeat indefinitely.