The Number System Unit Test

Question

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Question
Describe the relationship between rational numbers and whole numbers. Are all rational numbers also whole numbers? Are all whole numbers also rational numbers? Give examples to support your answer.(4 points)

Math Short Answer Rubric (4 points)
Points Awarded Criteria
4
The answer is clear and correct.

The answer shows that the student used problem-solving skills and reasoning.

All work is shown or explained.

3
The answer is mostly correct. The student made small errors while solving.

The answer shows that the student used some problem-solving skills and reasoning.

Most work is shown or explained.

2
The answer is partially correct. The student made errors while solving.

The answer shows that the student used some problem-solving skills or reasoning.

Some work is shown or explained.

1
The answer is incorrect. The student made errors while solving.

The answer shows little problem-solving skills or reasoning.

Little or no work is shown.

0 The question is not answered.

Answer 1

Rational numbers and whole numbers are related, but they are not the same. All whole numbers are rational numbers because they can be written as a fraction with a denominator of 1. For example, 4 can be written as 4/1, which is a fraction and therefore a rational number.

However, not all rational numbers are whole numbers. Rational numbers include fractions and decimals that can be written as a fraction. For example, 1/2, 3/4, and 0.25 are all rational numbers but they are not whole numbers.

In summary, all whole numbers are rational numbers, but not all rational numbers are whole numbers.