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 

Addition of integer

Note: 

(i) In addition, we use the same given integer sign in the result as well

(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) 

∴ Add given numbers 12+1

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

Now add 11 in -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) 

Subtraction of integer

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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