# Class 07 - Chapter 01 - Integers (50)

**Q.1.** **Represent the following integers on the number line.**

a) 5 b) -6 c) 4 |
d) 10 e) -7 f) 9 |
g) -3 h) -9 i) 7 |

**Q.2. **Arrange the numbers -7, 0, 2, -6, 10, -11 in the ascending order and then mark them on number line to verify your answer.

**Q.3. **Arrange the numbers 10, -2, 8, -4 ,9, -3 in the descending order and then mark them on number line to verify your answer.

**Q.4. State whether the following statements are correct or incorrect. Correct those which are wrong.**

a) On a number line, we move right when we add a number.

b) On a number line, we move left when we subtract a number.

c) When two positive numbers are added we get a positive number.

d) When a positive number is added to a negative number we get a positive number.

e) When a negative number is added to a positive number we get a negative number.

f) Additive inverse of 9 is (-9) and additive inverse of (-9) is 9.

g) For subtraction we add the additive inverse of the integer that is being subtracted to the other integer.

**Q.5. Solve the following:**

a) + 10 - 17 + 6

b) - 20 + 2 - 7

c) 100 - 20 - 50

d) 45 - 90

e) - 89 - 21 + 100

**Q.6. Solve the following:**

a) ____ + 10 = - 20

b) - 20 + 11 = ______

c) - 12 - 24 = 36 - ______

d) -12 + ______ = 40 - 60

e) ____ + 15 = - 56 + 72

**Q.7. Write at least two pairs of integers whose sum is:**

a) a negative integer

b) a positive integer

c) zero

d) -5

**Q.8. Arrange the following in the decreasing (descending) order:**

a) -100, -1000, -10, 110

b) 100, -10, -100, 110

c) -111, 1, -11, -1

d) 9999, 999, 99999, 9

e) -9999, -999, -99999, -9

**Q.9.** **Arrange the following in the increasing order (ascending) order:**

a) 23, -45, -78, 53

b) 119, -378, 38, -837

c) -4673, 9377, 0982, -9388

d) 765, -837, 983, -958

e) -009, -09, -0009, -9

**Q.10. Write at least two pairs of integers whose difference gives:**

a) a positive integer

b) a negative integer

c) zero

d) -5

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