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.

Question

Mathematics

Korbin Hunt

7 November, 13:00

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.

+1

Answers (1)

Know the Answer?

Albert Bauer · 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