Ch. 6 Integers
Questions:
1. Answer the following:
(a). Find the greatest negative integer.
(b). Find the smallest integer which is smaller than all the positive integers.
(c). Find the integer which is neither positive nor negative.
(d). What is the succeeding number of the number zero?
(e). What is the preceding number of the number zero?
(f). What is the succeeding number of the number (–1)?
(g). What is the preceding number of the number (–4)?
2. Find the opposite of the following and represent with signs:
(i) Profit of 20
(ii) Second floor below the ground level.
(iii) Going 4 km towards east.
(iv) 5 m above the ground.
(v). A withdrawal of 2300 from the bank.
(vi). A submarine is moving at a depth of five hundred metre below sea level.
(vii). Gaining a weight of 2 kg.
(viii). Going 600 metre above sea level.
(ix). Temperature six degree Celsius above 0 degree Celsius.
(x). An aeroplane is flying at a height three thousand five hundred metre above the ground.
(xi). Shekhar scores 25 runs less than his previous score.
3. Find additive inverse of 6.
4. Find multiplicative inverse of 6.
5. Find the integers for the following:
(a). Subtract (123) from (–456).
(b). 9 less than (–5).
(c). 5 more than (–2).
6. Fill in the box:
(i). (–1) + [ ] = 0
(ii). [ ] –4 = –2
7. Observe the given line and find the integers for the following:
(a). Find the integer for C
(b). Find the integer for J
(c). Find the integer for M
(d). Find the integer for C + J
(e). Find the integer for B + M
(f). Find the integer for C-H
(g). Find the integer of successor for C
(h). Find the preceding integer of K
8. Solved the following:
(a). Arrange in increasing order: 3, 0, –3, 5, –1
(b). Arrange in decreasing order: 23, 15, 5, 2, –25
(c). Arrange in increasing order: 5, –6, –4, 0, 8, 6
(d). Arrange in decreasing order: 13, 21, 17, 15, 15, 10
9. Find the value of
(a). Find the value of 2–(–1)–2–(–3).
(b). Find the value of 5 – {12 – (10 – 8)}
(c). Find: (– 5) – (6) – (– 16)
(d). Find: (– 10) + (18) + (– 28) + (– 6)
(e). Find: (– 7) + (– 9) + (4) + (16)
10. Observe the given line and find the integers for the following:
(i). If you are at (3) on the number line, in which direction should you move to reach (–8)?
(ii). If you are at (–5) on the number line, in which direction should you move to reach at 2?
Solved to find the answer:
11. Subtract (–104) from the sum of 38 and (–27).
12. Subtract the sum of (100) and 225 from 50.
13. The sum of two integers is (–26). If one of them is 43, then find the other integer.
14. If a = (– 8) b = (– 6) and c = 6 then find the value of a + b – c
15. The difference of an integer P and (–5) is 4. Find the value of P.
16. What must be subtracted from (—3) to get (–8)?
17. A bucket contains 35 litres of water. Due to a small hole in the bucket, the quantity of water is decreasing at the rate of 2 litres every hour. Find the quantity of water in the bucket after 10 hours.
18. An insect crawls 10 cm every second on a 90 cm vertical rod and then falls down 4 cm over the next second. How many seconds will it take to climb the rod?
19. In a class test containing 20 questions. 5 marks are given for every correct answer, –2 marks is given for every incorrect answer. Heena attempts all questions and 14 of her answers are correct. What is her total score?
20. In a class test containing 20 questions, 5 marks are given for every correct answer, –1 mark is given for every incorrect answer and 0 mark for each unattempted question. Ravi gets 4 correct and 4 incorrect answers. Find his score.
21. A certain freezing process requires that room temperature be lowered from 40°C at the rate of 6°C per hour. What will be room temperature 10 hours after the process begins?
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