Question

1. Convert each fraction to a decimal.

2. Classify the decimal expansion of each fraction as a terminating decimal or a repeating decimal.

3. Classify the decimal expansion of each fraction as a rational or irrational number.

Decimal 1: 3/4
Decimal 2: 1/3
Answer all three parts of the question correctly. Use proper grammar, punctuation, and capitalization. Show all work.

Answer 1

3/4 = 75/100 = 0.75

0.75 is a terminated decimal (does not continue forever)

0.75 is a rational number (it is a decimal)

1/3 = 33.33.../100

0.333333.... is a continuing decimal, and so it is a repeating decimal

1/3 is a repeating number