Grade 8 Real Number System Worksheet

Real Number System Review

Read each question carefully and answer to the best of your ability. Show all your work when necessary.

1. Which of the following numbers is irrational?

2. All integers are also:

3. The set of   numbers includes all rational and irrational numbers.

4. A number that can be expressed as a fraction p/q, where p and q are integers and q ≠ 0, is a   number.

5. The square root of any non-perfect square is an   number.

6. All natural numbers are also whole numbers.

7. The number 0 is a natural number.

8. Plot the following numbers on the number line below: -2.5, 0, √9, 1/2

9. Explain the difference between a rational and an irrational number. Give an example of each.

Use the words below to complete the sentences.

10. The counting numbers (1, 2, 3, ...) are called  .

11. The   include natural numbers and zero (0, 1, 2, 3, ...).

12.   are all positive and negative whole numbers, including zero (..., -2, -1, 0, 1, 2, ...).