Integers Worksheet

Integers Worksheet

Integers Worksheet

Name: __________________________
Date: __________________________
Class: __________________________

Instructions

Solve each question carefully. Remember that positive integers are greater than zero and negative integers are less than zero.

A. Identify the Integers

Write Positive, Negative, or Zero.

  1. +8 = __________________
  2. -5 = __________________
  3. 0 = __________________
  4. +12 = __________________
  5. -17 = __________________
  6. +3 = __________________
  7. -9 = __________________
  8. 0 = __________________
  9. +25 = __________________
  10. -30 = __________________

B. Compare the Integers

Write >, <, or =.

  1. 5 _____ 8
  2. -3 _____ 2
  3. -7 _____ -4
  4. 9 _____ -9
  5. -6 _____ -6
  6. 0 _____ -5
  7. -10 _____ -12
  8. 15 _____ 15
  9. -2 _____ 4
  10. 7 _____ -3

C. Order the Integers

Arrange each set from least to greatest.

  1. 4, -2, 7, 0, -5
    Answer: ______________________________
  2. -8, 3, -1, 6, 0
    Answer: ______________________________
  3. 5, -10, 2, -3, 8
    Answer: ______________________________
  4. -4, -9, 1, 7, -2
    Answer: ______________________________
  5. 10, -6, 0, 4, -12
    Answer: ______________________________

D. Add Integers

  1. 5 + 3 = ______
  2. -4 + 7 = ______
  3. -6 + (-5) = ______
  4. 12 + (-8) = ______
  5. -9 + 4 = ______
  6. 15 + (-6) = ______
  7. -7 + (-8) = ______
  8. 20 + (-15) = ______
  9. -11 + 9 = ______
  10. -14 + (-6) = ______

E. Subtract Integers

  1. 8 – 3 = ______
  2. 5 – 9 = ______
  3. -4 – 6 = ______
  4. -7 – (-3) = ______
  5. 12 – (-5) = ______
  6. -10 – 4 = ______
  7. 15 – 20 = ______
  8. -8 – (-6) = ______
  9. 6 – (-9) = ______
  10. -12 – (-7) = ______

F. Multiply Integers

  1. 4 × 3 = ______
  2. -5 × 2 = ______
  3. -6 × -3 = ______
  4. 7 × -4 = ______
  5. -8 × 5 = ______
  6. -9 × -2 = ______
  7. 12 × -3 = ______
  8. -7 × -6 = ______
  9. 10 × 4 = ______
  10. -11 × 2 = ______

G. Divide Integers

  1. 12 ÷ 3 = ______
  2. -15 ÷ 5 = ______
  3. -18 ÷ -6 = ______
  4. 24 ÷ -4 = ______
  5. -35 ÷ 7 = ______
  6. -42 ÷ -6 = ______
  7. 48 ÷ -8 = ______
  8. -54 ÷ 9 = ______
  9. 72 ÷ 8 = ______
  10. -81 ÷ -9 = ______

H. Mixed Operations

  1. 8 + (-3) × 2 = ______
  2. -12 ÷ 3 + 5 = ______
  3. 6 × (-4) + 10 = ______
  4. -20 + 15 ÷ 3 = ______
  5. 18 – (-4) × 2 = ______
  6. -6 × (-3) – 5 = ______
  7. 24 ÷ (-6) + 9 = ______
  8. -10 + (-2) × 5 = ______
  9. 30 – 4 × 6 = ______
  10. -36 ÷ (-4) – 7 = ______

I. Word Problems

  1. The temperature is -3°C in the morning. It rises by 8°C. What is the new temperature?

Answer: __________________

  1. A diver is 12 m below sea level. Write its position as an integer.

Answer: __________________

  1. A bank account has a balance of -$20. You deposit $35. What is the new balance?

Answer: __________________

  1. A lift is on floor -2 and moves up 7 floors. Which floor does it reach?

Answer: __________________

  1. A temperature of 6°C drops by 10°C. What is the new temperature?

Answer: __________________

Answer Key

A

  1. Positive
  2. Negative
  3. Zero
  4. Positive
  5. Negative
  6. Positive
  7. Negative
  8. Zero
  9. Positive
  10. Negative

B

  1. <
  2. <
  3. <
  4. =
  5. =
  6. <

C

  1. -5, -2, 0, 4, 7
  2. -8, -1, 0, 3, 6
  3. -10, -3, 2, 5, 8
  4. -9, -4, -2, 1, 7
  5. -12, -6, 0, 4, 10

D

  1. 8
  2. 3
  3. -11
  4. 4
  5. -5
  6. 9
  7. -15
  8. 5
  9. -2
  10. -20

E

  1. 5
  2. -4
  3. -10
  4. -4
  5. 17
  6. -14
  7. -5
  8. -2
  9. 15
  10. -5

F

  1. 12
  2. -10
  3. 18
  4. -28
  5. -40
  6. 18
  7. -36
  8. 42
  9. 40
  10. -22

G

  1. 4
  2. -3
  3. 3
  4. -6
  5. -5
  6. 7
  7. -6
  8. -6
  9. 9
  10. 9

H

  1. 2
  2. 1
  3. -14
  4. -15
  5. 26
  6. 13
  7. 5
  8. -20
  9. 6
  10. 2

I

  1. 5°C
  2. -12 m
  3. $15
  4. Floor 5
  5. -4°C