Worksheet on Addition and Subtraction using Number Line helps little ones who wanted to practice adding and subtracting on a number line. Kids can learn how to add and subtract 2 numbers using a number line by referring to the various problems.

## Adding and Subtracting on a Number Line Worksheet

I. Evaluate the following using a number line:
(i) (+4) + (+5)
(ii) 0 + (+7)
(iii) (+8) + (+4)
(iv) (+3) + (2)
(v) (+9) + (+2)

Solution:

(i)
The first step is to locate the first number which is +4 on the number line.
To add +5 means we have to move to the +5 units to the right.
By doing so, we end up at +9.
Therefore, the sum is +9.
(ii)
The first step is to locate the first number which is 0 on the number line.
To add +7 means we have to move to the +7 units to the right.
By doing so, we end up at +7.
Therefore, the sum is +7.
(iii)
The first step is to locate the first number which is +8 on the number line.
To add +4 means we have to move to the +4 units to the right.
By doing so, we end up at +12.
Therefore, the sum is  +12.
(iv)
The first step is to locate the first number which is +3 on the number line.
To add +2 means we have to move to the +2 units to the right.
By doing so, we end up at +5.
Therefore, the sum is+5.
(v)
The first step is to locate the first number which is +9 on the number line.
To add +2 means we have to move to the +2 units to the right.
By doing so, we end up at +11.
Therefore, the sum is +11.

II. Use a number line to evaluate each of the following:
(i) (-1) + (+5)
(ii) 0 + (+2)
(iii) (-3) + (+6)
(iv) (-4) + (+3)
(V) +3 + 5
(Vi) +9 – 6

Solution:

(i)
Locate the first point -1 on the number line.
To add +5 means, we have to move 5 points to the right of the number line. The result is +4.
(ii)
Locate the first point 0 on the number line.
To add +2 means, we have to move 2 points to the right of the number line. The result is +2.
(iii)
Locate the first point -3 on the number line.
To add +6 means, we have to move 6 points to the right of the number line. The result is +3.
(iv)
Locate the first point -4 on the number line.
To add +3 means, we have to move 3 points to the right of the number line. The result is-1.
(v)
Locate the first point +3 on the number line.
To add +5 means, we have to move 5 points to the right of the number line. The result is+8.
(vi)
Locate the first point +9 on the number line.
To add -6 means, we have to move 6 points to the right of the number line. The result is+3.

III. Solve the given:
(i) +15 – 3
(ii) +20 – 10
(iii) -18 + 5
(iv) +4 + 5
(v) -16 + 4

Solution:

(i)
Locate the first point +15 on the number line.
To add -3 means, we have to move 3 points to the left of the number line.
The result is+12.
(ii)
Locate the first point +20 on the number line.
To add -10 means, we have to move 10 points to the left of the number line.
The result is+10.
(iii)
Locate the first point -18 on the number line.
To add 5 means, we have to move 5 points to the right of the number line.
The result is -13.
(iv)
Locate the first point +4 on the number line.
To add +5 means, we have to move 5 points to the right of the number line.
The result is +9.
(v)
Locate the first point -16 on the number line.
To add +4 means, we have to move 4 points to the right of the number line.
The result is -12.

IV. Add the following using number line:
(i) (+5) + (-2)
(ii) (+7) + (-2)
(iii) (+6) + (-9)
(iv) 0 + (-4)
(v) (-2) +(-7)

Solution:

(i)
Locate the first point +5 on the number line.
To add -2 means, we have to move 2 points to the left of the number line.
The result is +3.
(ii)
Locate the first point +7 on the number line.
To add -2 means, we have to move 2 points to the left of the number line.
The result is +5.
(iii)
Locate the first point +6 on the number line.
To add -9 means, we have to move 9 points to the left of the number line.
The result is-3.
(iv)
Locate the first point 0 on the number line.
To add -4 means, we have to move 4 points to the left of the number line.
The result is-4.
(v)
Locate the first point -2 on the number line.
To add -7 means, we have to move 7 points to the left of the number line.
The result is -9.

V. Subtract the following using number line:
(i) (+12) – (+4)
(ii) (+8) – (+2)
(iii) (+7) – (-3)
(iv) (+5) – (-6)
(v) (+9) – (-5)

Solution:

(i)
After changing the operation from subtraction to addition, we must take the opposite sign of the number following it.
i.e. (+12) +(-4)
Locate the first number +12 on the number line and move to the 4 units left.
The result is +8.
(ii)
After changing the operation from subtraction to addition, we must take the opposite sign of the number following it.
i.e. (+8) +(-2)
Locate the first number +8 on the number line and move to the 2 units left.
The result is +6
(iii)
After changing the operation from subtraction to addition, we must take the opposite sign of the number following it.
i.e. (+7) +(3)
Locate the first number +7 on the number line and move to the 3 units right.
The result is +10
(iv)
After changing the operation from subtraction to addition, we must take the opposite sign of the number following it.
i.e. (+5) +(+6)
Locate the first number +5 on the number line and move to the 6 units right.
The result is +11.
(v)
After changing the operation from subtraction to addition, we must take the opposite sign of the number following it.
i.e. (+9) +(+5)
Locate the first number +9 on the number line and move to the 5 units right.
The result is +14.

VI. Subtract the following:
(i) +10 from +8
(ii) -7 from +3
(iii) +17 from -15

Solution:

(i)
Given +8-(+10)
After changing the operation from subtraction to addition, we must take the opposite sign of the number following it.
i.e. (+8) +(-10)
Locate the first number +8 on the number line and move to the 10 units left.
The result is-2.
(ii)
Given +3-(-7)
After changing the operation from subtraction to addition, we must take the opposite sign of the number following it.
i.e. (+3) +(+7)
Locate the first number +3 on the number line and move to the 7 units right.
The result is+10
(iii)
Given -15-(+5)
After changing the operation from subtraction to addition, we must take the opposite sign of the number following it.
i.e. (-15) +(-5)
Locate the first number -15 on the number line and move to the 5 units left.
The result is -20.

VII. Fill in the blanks:
(i) -10 + ……… = 0
(ii) 25 + ……… = 0
(iii) 32 – 32 = ………
(iv) -4 + ……… = -1
(v) ……… – 4 = 6
(vi) The successor of -6 is ………
(vii) The predecessor of -4 is ………

Solution:

(i) 10
(ii) -25
(iii) 0
(iv) +3
(v) 10
(vi) -5
(vii) -5