### Integers - Worksheets

CBSE Worksheet 01

Ch-6 Integers
1. Write numbers with appropriate signs: 40${}^{\circ }$C below 0${}^{\circ }$C temperature.
1. 30
2. 40
3. -40
4. None of these
2. 2 subtracted from 7 gives
1. -5
2. 5
3. -9
4. 9
3. Fill in the blanks with >, < or = sign. (– 3) + (– 6) ______ (– 3) – (– 6)
1. <
2. >
3. None of these
4. =
4. The number of integers between -2 and 2 is
1. 3
2. 5
3. 4
4. 2
5. Sum of (– 9) and 15.
1. 90
2. -6
3. 6
4. 20
6. Match the following:

Column AColumn B
(a) 10 steps to the right(p) -1000
(b) 10 km below sea level(q) 1000
(c) Deposit Rs. 1000 in a bank(r) 10
(d) Spending Rs. 1000(s) -10
7. Fill in the blanks:

1. When we subtract -10 from 18 we get ______.
2. _____ is an integer which is neither positive nor negative.
3. 272 - 198 - ______ = 0.
4. 15 + _____ =0
8. State whether the following statements are true or false:

1. If a and b are any two integers such that a b, then -> - b.
2. If the sum of an integer and its opposite is zero, then they are called additive inverses of each other.
3. The negative of 0 is -0.
4. The sum of positive and negative integers is always negative.
9. Write four negative integers less than –20.

10. Write all the integers between -8 and -15. (Write them in the increasing order.)

11. Find the solution of the following :(–9) + (+13)

12. Subtract :(–20) – (–13)

13. Find the value of :(–7) + (–9) + 4 + 16

14. Using number line, add the following integers: 9 + (-6).

15. The temperature on a certain morning is -11℃ at 5 a. m. If the temperature drops 3 degree at 6 a.m. and rises 5 degree at 8 a.m. and again drops 3 degree at 9 a.m. What is the temperature at 9 a.m.?

CBSE Worksheet 01
Ch-6 Integers

1. (c) -40
Explanation: below means less than 0 so it is - 40
1. 5
Explanation: 7 - 2 = 5
1. <
Explanation: -3 -6 = -9
-3 - (-6) =- 3 +6 = 6- 3 = 3
so -9 < 3
1. (a) 3
Explanation: intergers between -2 and 2 are -1,0, 1 so 3 integers
1. 6
Explanation: -9 + 15 = 15 - 9 = 6
1. - (r)
2. - (s)
3. - (q)
4. - ( p)
1. 28;
2. 0;
3. 74;
4. -15
1. False
2. True
3. False; zero is neither negative nor positive
4. False
1. Four negative integers less than –20 are -21, -22, -23 and - 24.

2. The integers between –8 and –15 in increasing order are –14, –13, –12, –11, –10 and –9.

3. (–9) + (+13)
= (–9) + (+9) + (+4)
= 0 + (+4) = +4

4. (–20) – (–13)
= (–20) + (additive inverse of -13)
= (–20) + (13) = –7

5. (–7) + (–9) + 4 + 16
= (–16) + 20
= (–16) + 16 + 4
= 0 + 4 = 4

6. On the number line we first move 9 steps to the right from 0 reaching 9 and then we move 6 steps to the left of 9 and reach 3.
Thus, 9 + (-6) = 3

7. Temperature at 5 a.m. = -11
Temperature decreased at 6 a.m. = 3 = -3
Temperature raised at 8 a.m. = 5 = +5
Temperature decreased at 9 a.m. = 3℃ = -3
Final temperature at 9 a.m. = (-11) + (-3) + (+5) + (-3)
-11 - 3 + 5 - 3
-17 + 5
-12℃.