# Worksheet on addition and subtraction of integer

Q.1 Find the value of the following addition

(i) 3+(-7)

(ii) (-12)+(-1)

(iii) 1+(-3)+11

See given table

Note:

(ii) But, in subtraction, we use the sign of number which is greater

Solution:

(i) We have, 3+(-7)

First integer = 3 (positive integer)

Second integer = -7 ( negative integer)

∴ Subtract given numbers 3-7

3-7 =4

but ,read above note we use sign of greater integer in subtraction .So ,greater integer is 7 whose sign is negative

Therefore

3-7 =-4

(ii) We have , (-12)+(-1)

First integer=-12 (negative integer)

Second integer=-1 ( negative integer)

12+1=13

but ,read above note we use sign of given integer in result during addition

Therefore

-12-1=-13

(iii) 1+(-3)+11

Solve it in two parts

1+(-3)+11

Part: 1   1+(-3)

First integer = 1 (positive integer)

Second integer = -3 ( negative integer)

∴ Subtract given numbers 1-3

1-3 =2

but ,read above note we use sign of greater integer in subtraction .So ,greater integer is 3 whose sign is negative

Therefore

1-3 =-2

part:2  (-2 +11)

First integer = -2 (Negative integer)

Second integer = 11 (Positive integer)

∴ Subtract given numbers 11-2

11-2 =9

here ,greater integer is 11 whose sign is +ve so only 9 will result (not -9)

Q.2 Find the value of the following subtraction

(i) 3-5

(ii) -2-(-8)

Solution:

(i) We have , 3-5

First integer = 3 (positive integer)

Second integer = -5 ( negative integer)

∴ Subtract the given numbers 3-5

3-5 =2

but ,we use sign of greater integer in subtraction as well

Therefore

3-5 =-2

(ii) -2-(-8)

We have , -2-(-8)

First integer = -2 (positive integer)

Second integer = -8 ( negative integer)

∴ Subtract the given numbers -2-(-8)=-2+8

-2+8 =6

Q.3 The sum of two integers is -450. If one integer is -327, find the other

Solution:

Given:

The Sum of two integers is -450

One integer is -327

Let another integer is X

According to the Question,

-327 +X=-450

X=-450+327

X= -123

Q.4 The difference between the two integers is -63. If one of the integers is 105, find the other

Solution:

Given:

The difference between two integers is -63

One integer is 105

Let the other integer is X

According to the question,

105-X=-63

105+63=X

X= 168

Check other integer resource

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