Real Number System Worksheet

State if the number is Irrational or Rational. π

• Irrational

• Rational

• Whole number

• Integer

State if the number is Irrational or Rational. 1/3

• Rational

• Irrational

• Whole number

• Integer

Use the following chart to answer the problems. State if the number is Irrational or Rational. -2.6

• Rational

• Irrational

• Prime

• Whole

State if the number is Irrational or Rational.

• Irrational

• Rational

• Integer

• Whole number

Use the following chart to answer the problems. Match the number to the sets to which it belongs.

• 66

• Real and irrational

• 2.35832...

• Real, Rational

• -3/4

• Real, Rational, Integers, Whole Numbers, Natural Numbers

• -6

• Real, Rational, Integers

Match the Number Set with its definition.

• Rational

• Positive whole numbers and their opposites including 0

• Irrational Numbers

• Counting numbers 1,2,3...

• Integers

• A number that cannot be written as a fraction; decimals that keep going

• Natural Numbers

• 0, 1, 2, 3...

• Whole Numbers

• A number that can be written as a fraction

Write each repeating decimal using a bar. Use the simplest form possible. 1) 0.4444444...

• 0.4̅

• 0.44̅

• 0.444̅

• 0.44

Write each repeating decimal using a bar. Use the simplest form possible. 2) 3.79999999...

• 3.7̅9

• 3.79̅

• 3.799̅

• 3.7̅99

Write each repeating decimal using a bar. Use the simplest form possible. 3) 0.810810810...

• 0.8̅10

• 0.81̅0

• 0.8̅1

• 0.81̅08

Convert each rational number into either a repeating or a terminating decimal. 13. 3/4

• 0.75

• 0.7

• 0.8

• 0.73