Worksheet on Subtracting Integers

Worksheet on Subtracting Integers | Subtracting Integers Worksheet with Answers PDF

Subtracting Integers Worksheets help students deal with the subtraction of integers using different ways. Subtraction of Integers Worksheets for 6th Grade Math Students present will ensure regular practice with various problems on the concept and even enhance your mathematics fundamentals.

We have followed a stepwise approach to explain all the solutions in the Free Math Worksheet on Subtracting Integers so that it’s easy for you to understand. Learn how to subtract positive and negative www.buyxanax.org integers in a fun and engaging way by using our Printable Integer Subtraction Worksheets PDF.

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Subtracting Integers Worksheet Grade 6 with Answers

I. Subtract the following
(i) + 7 from + 15
(ii) + 11 from – 21
(iii) – 34 from + 68
(iv) – 12 from + 47
(v) 8 from 16
(vi) +8 from -16
(vii) -8 from +16

Solution:

(i) For easily subtracting the numbers, we have to follow two steps. They are
1. Change the subtraction sign into an addition sign.
2. Take the inverse of the number which comes after the sign.
+7 – +15
=+7 + +15
=+7 + (-15)
=+7 – 15
=-8
(ii) + 11 from – 21
+11 -(-21)
Change the subtraction sign into an addition sign.
=+11 + (-21)
Take the inverse of the number which comes after the sign.
=+11 + (+21)
=+11 +(+21)
=32
(iii) – 34 from + 68
-34-(+68)
Change the subtraction sign into an addition sign.
=-34+(+68)
Take the inverse of the number which comes after the sign.
=-34 +(-68)
=-34 -68
=-102
(iv) – 12 from + 47
-12 -(+47)
Change the subtraction sign into an addition sign.
=-12+(+47)
Take the inverse of the number which comes after the sign.
=-12+(-47)
=-12-47
=-59
(V) 8 from 16
8-16
Change the subtraction sign into an addition sign.
=8+16
Take the inverse of the number which comes after the sign.
=8 +(-16)
=8- 16
=-8
(Vi) +8 from -16
i.e. +8 -(-16)
Change the subtraction sign into an addition sign.
=+8+(-16)
Take the inverse of the number which comes after the sign.
=+8+(16)
=24
(Vii) -8 from +16
i.e. -8-(+16)
Change the subtraction sign into an addition sign.
=-8+(+16)
Take the inverse of the number which comes after the sign.
=-8+(-16)
=-8-16
=-24


II. Subtract the following integers
(i) 5 – 6
(ii) (-4) – 3
(iii) 2 – (-9)
(iv) (-3) – (-7)
(v) (-1) – (-3) – (-8)
(vi) (+14) – (-10) – (+8) – (-6)

Solution:

(i) 5 – 6
Change the subtraction sign into an addition sign.
=5 + 6
Take the inverse of the number which comes after the sign.
=5+(-6)
=5-6
=-1
(ii) (-4) – 3
Change the subtraction sign into an addition sign.
=(-4) + 3
Take the inverse of the number which comes after the sign.
=-4+(-3)
=-4-3
=-7
(iii) 2 – (-9)
Change the subtraction sign into an addition sign.
=(2) +(- 9)
Take the inverse of the number which comes after the sign.
=2+(+9)
=2 + 9
=11
(IV) (-3) – (-7)
Change the subtraction sign into an addition sign.
=(-3) +(- 7)
Take the inverse of the number which comes after the sign.
=-3+(+7)
=4
(v) (-1) – (-3) – (-8)
Change the subtraction sign into an addition sign.
=(-1) + (-3) +(- 8)
Take the inverse of the number which comes after the sign.
=1+3 +8
=12
(VI) (+14) – (-10) – (+8) – (-6)
Change the subtraction sign into an addition sign.
=(+14) + (-10) +(+ 8)+ (-6)
Take the inverse of the number which comes after the sign.
=-14+(+10) +(-8) +(6)
=-14 +10 -8+6
=-22 +16
=-6


III. Solve the following
(i) (-5) – ……….. = 10
(ii) (-15) – ……….. = -5
(iii) (-8) – ……….. = 4
(iv) -25 – 18 = ………..
(v) 16 – 28 = ………..
(vi) -34-0=_____
(vii) 10-23=______

Solution:

(i) Let the number be x.
(-5)-(x)=10
x=-10-5
x=-15
so,(-5)-(-15)=10
(ii) Let the number be x.
(-15)-(x)=-5
x=-15+5
x=-10
so,(-15)-(-10)=-5
(iii) Let the number be x.
(-8)-(x)=4
x=-4-8
x=-12
so,(-8)-(-12)=-8+12=4
(iv) -25-18
=- 43
(v) 16-28
=16 +(-28)
=16-28
=-12
(vi) -34-0
=-34
(vii)10 – 23
=-13


IV. Write a negative integer and positive integer whose difference is 12.

Solution:

Let the positive integer and negative integer be 6, -6.
We subtract the smallest number from the bigger one.
i.e. 6-(-6)=6+6=12


V. Fill in the blanks
(i) To subtract (- 6) from 20, we add ……………… to 20.
(ii) To subtract 6 from – 20, we add ……………… to – 20.
(iii) The opposite (negative) of a negative integer is a ……………… integer.
(iv) If a and b are two integers then a + b is also a _____.

Solution:

(i) +6
(ii) -6
(iii) positive
(iv) integer


Vi. Rakesh borrowed Rs 500 from Anil. Rakesh also borrowed Rs 200 from Akhil. What is the total amount of debt?

Solution:

Given,
Rakesh borrowed from Anil=Rs 500
Rakesh also borrowed from Akhil=Rs 200
Rs 500 debt can be represented by= -500
Rs 200 debt can be represented bt=-200
The total amount of debt=-500-200=-500+-200=-700
Therefore, the total debt is Rs 700.


Vii. The record high temperature for Chennai is 580 Fahrenheit. The record low is -28 0Fahrenheit. What is the difference between high and low?

Solution:

Given,
The record high temperature for Chennai is =580 Fahrenheit
The record low temperature for Chennai is=-280 F
The difference between high and low is=58–28=58+28=860
Therefore, the difference between high and low temperatures is 86 F.


Viii. Ramesh has taken 10 steps forward and 5 steps backward. How many steps have you taken?

Solution:

Given,
Ramesh has taken forward steps=10
Ramesh has taken backward steps=-5
Ramesh has taken steps=10-5=5
Therefore, Ramesh has taken 5 steps.


ix. On a cold morning, the temperature was -50c. When he checked again after office, the temperature has dropped 50c. What was the temperature after office?

Solution:

Given,
On a cold morning, the temperature was= -50c
The temperature was dropped=50c
The temperature after office=-50c-50c=-100c
Hence, the temperature after office was -100c.


X. An elevator is on the fifteenth floor. It goes down 10 floors and then up 5 floors. What floor is the elevator on now?

Solution:

Given,
An elevator is on floor=15
It goes down floors=10
It goes up floors=5
The elevator is on the floor=15-10+5=10
Therefore, the elevator is on 10 th floor.


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