Rational Numbers in Different Forms Practice

Math 8 Q1 (Pre-Algebra) / The Number System

Which of the following rational numbers can be expressed as a repeating decimal: 78, 512, 1725, or 3140?(1 point)

1 answer

To determine which of the given numbers can be expressed as a repeating decimal, we need to analyze their factors and check if they have a terminating or repeating decimal representation.

Let's analyze each number:

1. 78: This number can be written as 78/1. When we divide 78 by 1, we get a terminating decimal representation of 78.

2. 512: This number can be written as 512/1. When we divide 512 by 1, we get a terminating decimal representation of 512.

3. 1725: This number can be written as 1725/1. When we divide 1725 by 1, we get a terminating decimal representation of 1725.

4. 3140: This number can be written as 3140/1. When we divide 3140 by 1, we get a terminating decimal representation of 3140.

Based on our analysis, none of the given numbers can be expressed as a repeating decimal.
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