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Gyaan Maths
CBSE · Class 6-10
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CBSE Maths · Class 7

Chapter 1: Integers

Name: ________________________
Date: ______________
Marks: ____ / 10

Properties of integers, multiplication and division of integers, distributive law.

Questions

  1. Simplify (−8)(−4)(3)(−2)(-8)(-4)(3)(-2).
  2. (−72)÷(−8)(-72) \div (-8).
  3. The sum of two integers is −25-25; one of them is 1717. Find the other.
  4. Compute (−8)×7(-8) \times 7.
  5. Compute (−6)×(−9)(-6) \times (-9).
  6. Compute (−45)÷5(-45) \div 5.
  7. Verify distributive: (−2)(3+4)(-2)(3 + 4).
  8. (−1)10(-1)^{10}.
  9. (−1)7(-1)^{7}.
  10. Compute (−15)+8−(−3)(-15) + 8 - (-3).

Extra Practice (Optional)

  • Find integer between −5-5 and −4-4.
  • Simplify [(−3)−(−4)]×(−2)[(-3)-(-4)] \times (-2).
  • Additive inverse of −13-13.

Answer Key (For Teachers)

  1. Answer: −192-192.
    Working: Three negatives →\to negative. → 8⋅4⋅3⋅2=1928\cdot 4\cdot 3\cdot 2 = 192.
  2. Answer: 99.
    Working: Both negatives cancel.
  3. Answer: −42-42.
    Working: −25−17-25 - 17.
  4. Answer: −56-56
    Working: Different signs give negative product.
  5. Answer: 5454
    Working: Same signs give positive.
  6. Answer: −9-9
    Working: Different signs give negative quotient.
  7. Answer: −14-14
    Working: −2×7=−14-2\times 7 = -14; or −6−8=−14-6 - 8 = -14.
  8. Answer: 11
    Working: Even exponent.
  9. Answer: −1-1
    Working: Odd exponent.
  10. Answer: −4-4
    Working: =−15+8+3= -15 + 8 + 3.
Gyaan Maths · CBSE Class 7 · Chapter 1
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026