Class 7 Integers Worksheet 2

Class 7 Integers Worksheet – Integer Multiplication

Class 7 Integers Worksheet - Integer Multiplication

This Class 7 Integers Worksheet focuses on multiplication of integers, gradually guiding students from basic problems to more thought-provoking questions. It includes a variety of tasks, from direct calculations to practical word problems that reflect everyday contexts.
By working through these problems, students will begin to see patterns, build intuition, and develop a more grounded understanding of how negative and positive numbers interact. The worksheet is designed not just for practice, but to encourage careful thinking and meaningful engagement with the concept of integers.

For those who want to continue exploring integers, we also offer more worksheets in our Class 7 Maths section.

Check out this helpful guide on Understanding Integers.

Worksheet Details

📌 Worksheet Name: Class 7 Integers Worksheet -2
📌 Topic: Integer Multiplication
📌 Format: Printable PDF
📌 Difficulty Level: Beginner
📌 Includes: Concept-based questions, word problems, and practice exercises
📌 Answer Key: Available

Questions Preview

  1. Calculate the product of the following:
    (a) 4 × (–2) =
    (b) (–7) × (–5) =
  2. Find the missing number in each equation:
    (a) (–12) × ________ = –84
    (b) _______ × 6 = –36
  3. Verify using the distributive property:
    (a) (–9) × [5 + (–2)] = [(–9) × 5] + [(–9) × (–2)]
    (b) (–14) × [(–3) + 4] = [(–14) × (–3)] + [(–14) × 4]
  4. Find the Following:
    (a) For any integer x, what is (–1) × x equal to?
    (b) Find the integer that, when multiplied by (–1), gives:
    i. –55
    ii. 83
    iii. -1
  5. A diver descends 5 meters per second in an ocean. If he starts at sea level (0 meters), what is his depth after:
    (a) 3 seconds?
    (b) 7 seconds?
    (c) 10 seconds?
    (Use negative numbers to show depth below sea level!)
  6. A skier starts at the top of a mountain at 2,000 meters and descends at 250 meters per minute.
    (a) How many meters will they be at after 4 minutes?
    (b) After how many minutes will they reach sea level (0 meters)?

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Answer Key Integers Worksheet – 2:

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  1. Calculate the product of the following:
    a) 4 × (−2) = −8
    b) (−7) × (−5) = 35
    c) (−10) × 3 × (−2) = (−10 × 3) × (−2) = −30 × (−2) = 60
    d) (−9) × 0 × 8 = 0 (Anything multiplied by zero is zero.)
  2. Find the missing number in each equation:
    a) (−12) × x = −84, x = −84 ÷ (−12) = 7
    b) x × 6 = −36, x = −36 ÷ 6 = −6
    c) (−1) × x = 99, x = 99 ÷ (−1) = −99
    d) x × (−8) = −80, x = −80 ÷ (−8) = 10
  3. Sam and Ria both solved the same problem but got different answers:
    a) Sam: (−5) × (−6) = −30
    b) Ria: (−5) × (−6) = 30
    Ria is correct because multiplying two negative numbers gives a positive result.
  4. Observe the pattern and fill in the missing product:
    a) (−1) × 4 = −4
    b) (−1) × 5 = −5
    Multiplying numbers with (-1) makes it negative.
  5. Verify using the distributive property:
    a) (−9) × [5 + (−2)] = (−9 × 5) + (−9 × (−2)),
    =(−9) × 3 = −45 + 18 = −27
    b) (−14) × [ (−3) + 4 ] = (−14 × −3) + (−14 × 4),
    =(−14) × 1 = 42 − 56 = −14
  6. Find the following:
    a) For any integer x, (−1) × x = −x
    b) i) 55
    ii) −83
    iii) 1
  7. A diver descends 5 meters per second:
    a) After 3 seconds: −5 × 3 = −15 meters
    b) After 7 seconds: −5 × 7 = −35 meters
    c) After 10 seconds: −5 × 10 = −50 meters
  8. Fill in the missing numbers to complete the magic square:
    a) -9
    b) 5
  9. A skier starts at 2,000 meters and descends at 250 meters per minute:
    a) After 4 minutes: 2000 − (250 × 4) = 2000 − 1000 = 1000 meters
    b) To reach sea level: 2000 ÷ 250 = 8 minutes
  10. A student climbs stairs, with each step being 2 meters:
    (−3) × (−5) × (2) = 15 × 2 = 30 meters
  11. On Planet X, the temperature drops 4°C per hour:
    a) At 3 PM: 10 − (4 × 3) = 10 − 12 = −2°C
    b) At 6 PM: 10 − (4 × 6) = 10 − 24 = −14°C
    c) At 12 AM: 10 − (4 × 12) = 10 − 48 = −38°C
  12. Solve each multiplication:
    a) (−6) × 4 = −24
    b) (−2) × (−5) = 10
    c) (−8) × 0 = 0
    d) (9) × (−3) = −27
  13. Solve the following:
    a) (−2) × (−2) × (−2) = (−4) × (−2) = −8
    b) (−3) × (−3) × (−3) × (−3) = 9 × 9 = 81
    c) When an odd number of negative numbers are multiplied together, the result is negative.
    d) When an even number of negative numbers are multiplied together, the result is positive.