Most of the High School Mathematics Concepts need a strong base on Integers and their Rules. We have included Free Printable Math Worksheets on Adding Integers in their Pursuit of Knowledge. Practice the Questions in the Addition of Integers Worksheet for Grade 6 and understand the topic on a deeper level. By going through the problems over here you will understand the sum of integers is also an integer. Our Vast Collection of Addition of Integers will reinforce performing the addition operation of integers among 6th-grade students.
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Free Printable Worksheets on Addition of Integers for Class 6
I. Add the following Integers
1. + 68 and + 28
2. +53 and (-20)
3. -82 and -28
4. (- 42) and +10
5. (-15) and (-23)
6. -74 and -30
7. +96 and (-28)
8. -10 and (-10)
Solution:
1. Add two positive integers 68,28.
By adding the two integers we get 96.
2. Add the integers +53 and -20.
= +53+(-20)
= +53+-20
Here + sign is multiplied by -.The result is -.
= +53-20
Subtract 20 from 53.
= 33
Therefore, By adding +53 and -20 we will get 33.
3. Add the integers -82 and -28.
Here the signs of the two integers are negative. Just add the numbers and the result is negative.
=-82-28
=-110
Therefore, By adding -82 and -28 we will get -110.
4. Here there are two types of numbers. i.e. negative and positive.
=-42 + 10
Subtract the numbers. Here 42 is the large number and the sign is negative. So the result will be negative.
=-32
Therefore, By adding -42 and +10 we will get -32.
5. Here there are two negative numbers.
Add the negative numbers and the result will be negative.
=(-15) + (-23)
=-15-23
=-38
Therefore, By adding -15 and -23 we will get -38.
6. Here there are two negative numbers.
Add the negative numbers and the result will be negative.
=-74+ -30
=-74-30
=-104
Therefore, By adding -74 and -30 we will get -104.
7. Here one number is positive and the other number is negative.
So subtract the numbers.
=+96-28
=68
Therefore, By adding +96 and -28 we will get 68.
8. Here two numbers are negative.
Add the numbers and the result is negative.
=-10 and (-10)
=-10 and -10
=-20
Therefore, By adding -10 and -10 we will get -20.
II. Add the following
1. 253 + 120
2. +115 + (-50)
3. (- 320) + 18
4. -20 + (-30)
5. -410 + -200
Solution:
1. Add two positive numbers.
=253+120
=373
2. Here one number is positive and the other number is negative.
So subtract the numbers.
=+115 +(- 50)
115 is a large number. So the result will be positive.
=65
3. Here one number is negative and the other number is positive.
So subtract the numbers.
=(-320)+(18)
320 is a large number. So the result will be negative.
=-302
4. Here two numbers are negative numbers.
Add the numbers and the result is negative.
=-50
5. Here two numbers are negative numbers.
Add the numbers and the result is negative.
=-610
III. Find the value of the following
1. 8 + 5 + (-3) + (-5) + 1
2. 23 + 35+ (-10) – 46
3. (-15) + (-31) + 19 + 18
4. 57 + (-48) + 12- 64
Solution:
1. 8 + 5 + (-3) + (-5) + 1
=8 + 5 + -3+ -5 +1
Here + sign is multiplied by -. The result is -.
=8+5-3-5+1
=13-3-5+1
=6
Therefore, the value of 8 + 5 + (-3) + (-5) + 1 is 6.
2. 23 + 35+ (-10) – 46
=23 + 35 +-10 -46
Here + sign is multiplied by -. The result is -.
=58-10-46
=58-56
=2
Therefore, the value of 23 + 35+ (-10) – 46 is 2.
3. (-15) + (-31) + 19 + 18
=-15+ -31+19+18
Here + sign is multiplied by -. The result is -.
=-46 + 19 + 18
=-46 + 37
=-9
Therefore, the value of (-15) + (-31) + 19 + 18 is -9.
4. 57 + (-48) + 12- 64
Here + sign is multiplied by -. The result is -.
=57-48+12-64
=69-112
=-43
Therefore, the value of 57 + (-48) + 12- 64 is -43.
IV. Add the following numbers
1. (+315) + (+ 255)
2. (+315) + (- 255)
3. (-315) + (+ 255)
4. (-315) + (- 255)
Solution:
1. Here both the numbers are positive numbers.
Add the given numbers.
=+315 + +255
=570
2. Here one number is positive and the other number is negative.
So subtract the numbers.
=+315 + – 255
=+315 -255
Here the largest number is 315 and the sign is positive. So the result will also be positive.
=60
3. (-315) + (+255)
Here one number is negative and the other number is positive.
So subtract the numbers.
=-315+255
Here the largest number is 315 and the sign is negative. So the result will also be negative.
=-60
4. Here both the numbers are negative numbers.
Add the numbers and the result is negative.
=-315-255
=-570
V. State whether the following statements are true (T) or false (F)
1. The sum of positive integers is always positive
2. The sum of integers can be zero.
3. The sum of an integer and its opposite is always 1.
4. The sum of a positive integer and a negative integer is always positive.
Solution:
1. True
2. True
3. False
4. False
VI. Fill in the blanks
1. 17 + 3=______
2. (-4)+3=______
3. 28+0=________
4. 0+10=_______
5. 5+____=0
6. -3+___=0
Solution:
1. 20
2. -1
3. 28
4. 10
5. -5
6. 3