Verify a-(-b)= a + b for the following values of a and b:
(i) a = 21, b = 18
(ii) a = 118, b = 125
(iii) a = 75, b = 84
(iv) a = 28, b = 11
(i) We have given in the question that,
a = 21
b = 18
We have to prove that:
a – (-b) = a + b
Now,
a – (-b) = 21 – (-18)
= 21 + 18
= 39
Also,
a + b = 21 + 18
= 39
Therefore,
a – (-b) = a + b
Hence, verified
(ii) We have given in the question that,
a = 118
b = 125
We have to prove that:
a – (-b) = a + b
Now,
a – (-b) = 118 – (-125)
= 118 + 125
= 243
Also,
a + b = 118 + 125
= 243
Therefore,
a – (-b) = a + b
Hence, verified
(iii) We have given in the question that,
a = 75
b = 84
We have to prove that:
a – (-b) = a + b
Now,
a – (-b) = 75 – (-84)
= 75 + 84
= 159
Also,
a + b = 75 + 84
= 159
Therefore,
a – (-b) = a + b
Hence, verified
(iv) We have given in the question that,
a = 28
b = 11
We have to prove that:
a – (-b) = a + b
Now,
a – (-b) = 28 – (-11)
= 28 + 11
= 39
Also,
a + b = 28 + 11
= 39
Therefore,
a – (-b) = a + b
Hence, verified