Page 287 - Ganit Kaushal

Subjective/Competency Based Questions

13. Match the items of column I with that of column II.
Column I Column II

(a) The additive inverse of –1 (i) 0
(b) The greatest negative integer (ii) –2
(c) The greatest negative even integer (iii) 2

(d) The smallest integer greater than every negative integer (iv) 1
(e) Sum of the predecessor and successor of 1 (v) –1

14. Can the sum of a successor and predecessor of an integer be an odd integer?
15. What are the opposites (inverses) of integers, which are 3 units away from −8?
16. What is the sum of all integers from −500 to 500?

17. Find the sum of:
(a) –310, 39 and 190 (b) –50, –200, and 400 (c) –251, 80 and 94
18. Calculate the following:
(a) 48 + (– 64) + (– 8) (b) (–9) + (– 8) + 6 + 17 (c) 30 + (–25) + (–10)

(d) 70 + (–20) + (–30) (e) –50 + (– 60) + 50 ( f ) 1 + (– 2) + (–3) + (– 4)
(g) 0 + (–5) + (–2) (h) 0 – (–5) – (+5) (i) 0 – 2 – (–2)
(j) 372 + (–584) – (–98) (k) –146 + (–78) – (–124) + 69
19. Simplify the following expressions using the token method:
(a) (–5) + (–2) + 7 (b) 7 + (–2) + (–3) (c) (–3) + (4) – (–6)

20. The credits in your bank account are positive numbers and debits are negative numbers. The sum of all
your credits (+ve numbers) and debits (−ve) is your total bank account balance. This can be positive
(+ve) or negative ( ̶ ve).
Suppose you open a bank account at your local bank with `100. Your bank balance therefore starts at
`100. Now read the following (®) and fill in the blanks:

® You make `60 at your job the next day and you deposit it in your account.
(a) This is shown in your bank passbook as a _______.
(b) Your new bank balance is _______.
® The next day you pay your electric bill of `30 using your bank account.

(c) This is shown in your bank passbook as a _______.
(d) Your bank balance is now _______.
® The next day you make a major purchase for your business of `150.
(e) Again, this is shown as a _______.
(f) What is your bank balance now? _______.
(g) Is this possible? _______ .

® Your strategic large purchase the previous day allows you to make 200 rupees at your business
the next day.
(h) What is your balance now? _______ . (NCERT)

The Other Side of Zero 285