Chapter 1 – Integers
Practice Questions
Q.1. Find product (−2) × 36 × (−5).
Q.2. Find the value of 28945 × 99 − (− 28945).
Q.3. Determine the integer whose product with ‘−1’ is – 225.
Q.4. What will be the sign of the product if we multiply together
(i) 8 negative integers and 1 positive integer?
(ii) 21 negative integers and 3 positive integers?
(iii) 199 negative integers and 10 positive integers?
Q.5. State which is greater between (8 − 9) × 10 and 8 – 9 × 10.
Q.6. State which is greater between ((−2) − 5) × − 6 and (−2) − 5 × (− 6).
Q.7. (i) If a × (−1) = −30, is the integer a positive or negative?
(ii) If a × (−1) = 30, is the integer a positive or negative?
Q.8. Verify the following:
(−23)[(−5) + (+19)] = (−23) × (−5) + (−23) × (+19)
Q.9. Which of the following statements are true?
(i) For all non-zero integers a and b, a × b is always greater than either a or b.
(ii) The product of a negative and a positive integer may be zero.
(iii) There does not exist
an integer b such that for a >1,
a × b = b × a = b.
Q.10. Divide 76 by –19.
Q.11. Fill in the blanks:
(i) 296 ÷ …..... = − 148
(ii) ….…. ÷ 567 = − 1
Q.12. Which of the following statements are true?
(i) 0 ÷ (−7) = 0
(ii) −15 ÷ 0 = 0
(iii) 0 ÷ 0 = 0
(iv) – 8 ÷ (− 2) = 4
Q.13. Find the value of 12 + 36 ÷ 6.
Q.14. Find the value of 24 + 15 ÷ 3.
Q.15. Find the value of 120 – 20 ÷ 4.
Q.16. Find the value of 3 − (5 – 6 ÷ 3).
Q.17. Find the value of (− 40) × (−1) + (−28) ÷ 7.
Q.18. Simplify – 25 + 14 ÷ (5 − 3).
Q.19. Simplify 
.
Q.20. Simplify 36 − [18 − (14 − (15 – 4 ÷ 2 × 2))].
Q.21. Simplify 
.
Q.22. Simplify 
.
Q.23. Simplify 
.
Q.24. Simplify [29 − ( − 2)(6 − (7 − 3))] ÷ [3 × (5 + ( − 3) × (−2))].
Q.25. Using brackets, write a mathematical expression for each of the following:
(i) Nine multiplied by the sum of two and five.
(ii) Twelve divided by the sum of one and three.
(iii) Twenty divided by the difference of seven and two.
(iv) Eight subtracted from the product of two and three.
(v) Forty divided by one more than the sum of nine and ten.
(vi) Two multiplied by one less than the difference of nineteen and six.
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