Class 07 - Chapter 01 - Integers (50)

Posted in Class VII

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