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Question

Mr. Jones has 11 out of his 25 students making A's in his math class. The fraction 11/25 represents the ratio of A students to all the students.

Which describes the decimal that would be formed by 11/25 ?

Answer Choices

A. It is a terminating decimal.

B. The digits in the tenths and hundredths places repeat.

C. It does not terminate or repeat.

Answer 1

Since 11/25 is a rational number, you know right away that (C) is wrong.  In case you are not allowed to use a calculator, express the fraction with a denominator of 100.

 

11/25 = (11/25)(4/4) = 44/100 = 0.44

 

The correct answer is (A).

Answer 2

1/25 = 4/100 so it's 0.04

Then when you multiply that by 11 to get 11/25, you get 0.44, also known as 44%.

The decimal representation is a terminating decimal...A