Integers — Multiple Choice Questions

6 more than -3 is

1. 9

2. -9

3. 3

4. -3

Answer

Given, 6 more than -3

⇒ (-3) + 6

⇒ -3 + 6

⇒ 3

Hence, option 3 is the correct option.

5 less than -8 is

1. 13

2. -13

3. -3

4. 3

Answer

Given, 5 less than -8

⇒ (-8) - 5

⇒ -8 - 5

⇒ -13

Hence, option 2 is the correct option.

8 + |-15| = ?

1. 13

2. 3

3. -13

4. none of these

Answer

Given, 8 + |-15|

⇒ 8 + 15

⇒ 23

Hence, option 4 is the correct option.

(-36) + (7) = ?

1. -29

2. 29

3. 43

4. -43

Answer

Given, (-36) + (7)

⇒ -36 + 7

⇒ -29

Hence, option 1 is the correct option.

(-28) - (-6) = ?

1. -34

2. -22

3. 22

4. none of these

Answer

Given, (-28) - (-6)

⇒ -28 + 6

⇒ -22

Hence, option 2 is the correct option.

The successor of -16 is

1. -17

2. 17

3. -15

4. 15

Answer

The successor of -16 = -16 + 1

⇒ -15.

Hence, option 3 is the correct option.

The predecessor of -13 is

1. -14

2. -12

3. 14

4. 12

Answer

The predecessor of -13 = -13 - 1

⇒ -14

Hence, option 1 is the correct option.

The additive inverse of 5 is

1. $\dfrac{1}{5}$

2. -5

3. 0

4. -4

Answer

Let the additive inverse of 5 be x.

∴ x + 5 = 0

⇒ x = 0 - 5

⇒ x = -5

Hence, option 2 is the correct option.

12 - (-8) = ?

1. 4

2. -4

3. 20

4. -20

Answer

Given, 12 - (-8)

⇒ 12 + 8

⇒ 20

Hence, option 3 is the correct option.

On subtracting -7 from 0, we get

1. -7

2. 7

3. 0

4. none of these

Answer

Given, subtracting -7 from 0

⇒ 0 - (-7)

⇒ 0 + 7

⇒ 7

Hence, option 2 is the correct option.

(-8) + (-9) + 13 + (-14) = ?

1. -18

2. 18

3. 0

4. none of these

Answer

Given, (-8) + (-9) + 13 + (-14)

⇒ -8 - 9 + 13 - 14

⇒ -8 + 4 - 14

⇒ -4 - 14

⇒ -18

Hence, option 1 is the correct option.

The sum of two integers is -22. If one of them is 8, then the other is

1. -14

2. 14

3. -30

4. none of these

Answer

Given, sum of two integers = -22.

One number = 8

Let the other number be x.

∴ 8 + x = -22

⇒ x = -22 - 8

⇒ x = -30

Hence, option 3 is the correct option.

What should be added to 8 to get -15?

1. -7

2. 23

3. -23

4. none of these

Answer

Let the number be x.

∴ 8 + x = -15

⇒ x = -15 - 8

⇒ x = -23

Hence, option 3 is the correct option.

What should be subtracted from (-3) to get 15?

1. 18

2. -12

3. 12

4. none of these

Answer

Let the number be x.

∴ (-3) - x = 15

⇒ -x = 15 + 3

⇒ -x = 18

⇒ x = -18.

Hence, option 4 is the correct option.

Answer the following question with respect to the number line shown below.

The change in moving from point P to point Q is :

1. 20

2. 10

3. -20

4. 4

Answer

Position of P = -10

Position of Q = 10

Change in moving from point P to point Q = Final position - Initial position

= Q - P = 10 - (-10) = 20.

Hence, option 1 is the correct option.

Answer the following question with respect to the number line shown below.

The change in moving from point R to point P is :

1. -15

2. -25

3. 5

4. -5

Answer

Position of R = 15

Position of P = -10

Change = Final position - Initial position

= P - R = (-10) - (15) = -25.

Hence, option 2 is the correct option.

Answer the following question with respect to the number line shown below.

At what number must a point S be placed for the change between points P and S to be 15?

1. 5

2. -15

3. -5

4. 15

Answer

Change = Final position - Initial position = S - P

We need,

S - (-10) = 15

S + 10 = 15

S = 15 - 10 = 5.

Hence, option 1 is the correct option.

Answer the following question with respect to the number line shown below.

At what number must a point T be placed for the change between points R and T to be -30 ?

1. 15

2. -30

3. -15

4. 30

Answer

Change = Final position - Initial position = T - R = -30

T = -30 + R

T = -30 + 15 = -15.

Hence, option 3 is the correct option.