Question

Repeating Decimal - What is the quotient?

The problem has been started for you:
89.6538...
-480
40
-36
a) 89.5
b) 89.6
c) 89.7
d) 89.8

Answer 1

The quotient of the repeating decimal number 89.6538... is 89.6 after rounding to the tenths place, which corresponds to option (b).

Step-by-step explanation:

The question relates to finding the quotient of a repeating decimal number. When attempting to determine which choice (an 89.5, b 89.6, c 89.7, or d 89.8) is the correct quotient for the number 89.6538..., we can see that the repeating decimal portion .6538... would round up the number. Therefore, since .5 is halfway between whole numbers, and we have .6538... which is more than .5, the second digit (to the right of the decimal point) in the quotient would round up from 5 to 6.

Since we are only concerned with rounding to the tenth place, the quotient would be 89.6, which corresponds to option (b).