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.
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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