Worksheet on Addition and Subtraction without using Number Line tells you simple rules on how to add and subtract numbers. Keep the simple tip in mind while solving the problems in Adding and Subtracting Without using Number Line Worksheet. Learn how we can use absolute value to add or subtract two numbers on a number line easily.
6th Grade Math students can Get a good hold of the concept of addition and subtraction without number lines by solving questions from the Adding and Subtracting Without using Number Line and learn an endless variety of math concepts.
See More: Integers and the Number Line
Add and Subtract without using Number Line Worksheet
I. Evaluate the following without using the number line
(i) solve (+6) + (+2)
(ii) Evaluate (+3) + (+7)
(iii) Evaluate (+8) + (-5)
(iv) Evaluate (-2) + (+1)
Solution:
Given two numbers are positive numbers.
Add the two numbers 6,2.
= 6 + 2
Attach ‘+’ sign to the sum.
= +8.
Therefore, by adding the two numbers +6,+2 we get +8.
(ii) Given two numbers are positive numbers.
Add the two numbers 3,7.
= 3 + 7
Attach the ‘+’ sign to the sum.
=+10.
Therefore, by adding the two numbers +3,+7 we get +10.
(iii) By subtracting the smaller number 5 from the bigger number 8; we get 8 – 5 = 3
Since the sign of the bigger number is + (positive), the result is also positive.
Therefore, by adding the two numbers (+8) + (-5) = +3.
(iv) By subtracting smaller number 1 from bigger number 4; we get 2 – 1 = 1.
As the sign of a bigger number is negative (-), the result is also negative.
Therefore, by adding the two numbers (-2) + (+1) = -1.
II. Solve the following without using the number line
(i) Evaluate (+6) + (-2)
(ii) Evaluate (-7) + (+4)
(iii) Solve (-2) + (-3)
Solution:
(i) By subtracting the smaller number 2 from the bigger number 6, we get 6 – 2 = 4
Since the sign of the bigger number is + (positive), the result is also positive.
Therefore, by adding the two numbers (+8) + (-5) is +3.
(ii) By subtracting a smaller number 4 from a bigger number 7, we get 7 – 4 = 3.
As the sign of a bigger number is negative (-), the result is also negative.
Therefore, by adding the two numbers (-7) + (+4) is -3.
(iii)The given two numbers are negative numbers.
The two numbers should be added and the negative sign should be attached to the sum obtained.
(-2) + (-3)=-5
Therefore, by adding the two numbers (-2) + (-3) is -5.
III. Subtract the following without using the number line
(i) Evaluate (+7) – (+4)
(ii) Evaluate (+6) – (-2)
Solution:
First, change the sign of the number to be subtracted and then add.
= (+7) + (-4)
By subtracting smaller number 4 from bigger number 7, we get 7 – 4 = 3
Since the sign of the bigger number is + (positive), the result is also positive.
= +3
Therefore, By subtracting +4 from +7 we get +3.
(ii) Given (+6) – (-2)
First, change the sign of the number to be subtracted and then add.
= (+6) + (+2)
We know that for adding a positive (+ ve) number to a positive (+ ve) number, the numbers should be added and a positive sign should be attached to the sum obtained.
= +8
Therefore, By subtracting -2 from +6 we get +8.
IV. Evaluate the following
(i) Solve (-9) – (+3)
(ii) Evaluate (-8) – (-7)
Solution:
(i) First, change the sign of the number to be subtracted and then add.
= (-9) + (-3)
We know, to add a negative number to a negative number, the numbers should be added and a negative sign should be attached to the sum obtained.
= -12
Therefore, By subtracting +3 from -9 we get -12.
(ii) First, change the sign of the number to be subtracted and then add.
= (-8) + (+7)
On subtracting smaller number 7 from bigger number 8, we get 8 – 7 = 1
As the sign of a bigger number is negative (-), the result is also negative.
= -1
Therefore, By subtracting +7 from -8 we get -1.
V. Solve the following without using the number line
(i) Evaluate (+3) – (-1)
(ii) Evaluate (+12) – (-5)
(iii) Evaluate (-10) – (-5)
(iv) Solve (-15) – (+4)
Solution:
(i) First, change the sign of the number to be subtracted and then add.
= (+3) + (+1)
We know that for adding a positive (+ ve) number to a positive (+ ve) number, the numbers should be added and a positive sign should be attached to the sum obtained.
= +4
Therefore, By subtracting -1 from +3 we get +4.
(ii)First, change the sign of the number to be subtracted and then add.
= (+12) + (+5)
We know that for adding a positive (+ ve) number to a positive (+ ve) number, the numbers should be added and a positive sign should be attached to the sum obtained.
= +17
Therefore, By subtracting -5 from +12 we get +17.
(iii)First, change the sign of the number to be subtracted and then add.
= (-10) + (+5)
On subtracting a smaller number 5 from a bigger number 10, we get 10 – 5 = 5
As the sign of a bigger number is negative (-), the result is also negative.
= -5
Therefore, By subtracting -5 from -10 we get -5.
(iv) First, change the sign of the number to be subtracted and then add.
= (-15) + (-4)
We know, to add a negative number to a negative number, the numbers should be added and a negative sign should be attached to the sum obtained.
= -19
Therefore, By subtracting +4 from -15 we get -19.