Let's solve each part of the problem step by step:
(i) Calculate 200 + ( − 55 ) + ( − 77 ) + ( − 68 ) .
Start with 200 and subtract 55: 200 − 55 = 145 .
Subtract 77: 145 − 77 = 68 .
Subtract 68: 68 − 68 = 0 .
So, the sum is 0 .
(ii) Calculate − 3057 + 199 .
Since we are adding a smaller positive number to a larger negative number, subtract 199 from 3057.
3057 − 199 = 2858 .
The sum is negative because − 3057 is larger in absolute value: − 2858 .
So, the sum is − 2858 .
(iii) Calculate − 275 + 329 .
Subtract 275 from 329: 329 − 275 = 54 .
Since 329 is larger in absolute value, the sum will be positive.
So, the sum is 54 .
(iv) Calculate ( − 5291 ) + ( − 3125 ) .
Add the absolute values: 5291 + 3125 = 8416 .
Both numbers are negative, so their sum is also negative.
So, the sum is − 8416 .
(v) Calculate 974 + ( − 74 ) .
Subtract 74 from 974: 974 − 74 = 900 .
So, the sum is 900 .
(vi) Calculate − 350 + 50 + 450 .
Add 50 to − 350 : − 350 + 50 = − 300 .
Add 450 : − 300 + 450 = 150 .
So, the sum is 150 .
These steps show how to handle positive and negative numbers in addition.