INVERSE PROPERTY OF ADDITION WORKSHEET

Problem 1 : 

Verify whether 0.2 and -1/5 are additive inverse to each other.  

Problem 2 : 

If a and b are additive inverse to each other, solve for a in terms of b. 

Problem 3 : 

If (k + 5) and 5 are additive inverse to each other, find the value of k. 

Problem 4 : 

If (3 - x) and 3 are additive inverse to each other, find the value of x. 

Problem 5 : 

Are (3 - x) and x additive inverse to each other ?, if so, find the value of x. 

Problem 6 : 

If x - y  = 12, x and y are additive inverses, find the value of x. 

Answers

Problem 1 : 

Verify whether 0.2 and -1/5 are additive inverse to inverse to each other.  

Solution :

If 0.2 and -1/5 are additive inverse to each other, their sum has to be 0. 

0.2 + (-1/5)  =  (2/10) + (-1/5)

=  1/5 - 1/5

=  0

Because the sum is 0, 0.2 and -1/5 are additive inverse to each other. 

Problem 2 : 

If a and b are additive inverse to each other, solve for a in terms of b. 

Solution :

Because a and b are additive inverse to each other, their sum is zero. 

a + b  =  0

Solve for a : Subtract b from each side. 

a  =  -b

Problem 3 : 

If (k + 5) and 5 are additive inverse to each other, find the value of k. 

Solution :

Because (k + 5) and 5 are additive inverse to each other, their sum is zero.  

(k + 5) + 5  =  0

k + 5 + 5  =  0

k + 10  =  0

Subtract 10 from each side.

k  =  -10

Problem 4 : 

If (3 - x) and 3 are additive inverse to each other, find the value of x. 

Solution :

Because (3 - x) and 3 are additive inverse to each other, their sum is zero. 

(3 - x) + 3  =  0

3 - x + 3  =  0

-x + 6  =  0

Subtract 6 from each side. 

-x  =  -6

Multiply each side by -1. 

x  =  6

Problem 5 : 

Are (3 - x) and x additive inverse to each other ?, if so, find the value of x. 

Solution :

To verify whether (3 - x) and 3 are additive inverse to each other, add them

(3 - x) + x  =  3 - x + x

=  3

Because the sum is not zero, (3 - x) and x are not additive inverse to each other. 

Problem 6 : 

If x - y  = 12, x and y are additive inverses, find the value of x. 

Solution :

Given :

x - y  =  12 -----(1)

Because x and y are additive inverse to each other, their sum is zero. 

x + y  =  0 -----(2)

(1) + (2) : 

2x  =  12

Divide each side by 2. 

x  =  6

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