Question

Convert the decimal 0.8034 to a fraction and classify it as either rational or irrational.

A. 8034⁄10000, rational
B. 8034⁄10000, irrational
C. 8034⁄1000, irrational
D. 8034⁄1000, rational

Answer 1

A.

Explanation:

Since the number can be expressed by a fraction, it is a ratio, thus a rational number. For every factor of 10 in the denominator, the number shifts to the right (after the decimal points) by one position.

So, to get from 8034 to 0.8034, you have to shift 4 positions, which means dividing by a 1 with 4 zeros (10000).