Simplify :
`(i) [37 - (-8)] + [11 - (-30)] " " (ii) [-13 - (-17)] + [-22 - (-40)]`

Answer

Let's simplify the given expressions step by step.

### Part (i): Simplify `[37 - (-8)] + [11 - (-30)]`

1. **Identify the expression**:
\[ [37 - (-8)] + [11 - (-30)] \]

2. **Remove the double negatives**:
\[ 37 + 8 + 11 + 30 \]
(Since subtracting a negative number is the same as adding the positive.)

3. **Perform the additions**:
- First, calculate \(37 + 8\):
\[ 37 + 8 = 45 \]
- Next, calculate \(11 + 30\):
\[ 11 + 30 = 41 \]

4. **Add the results together**:
\[ 45 + 41 = 86 \]

### Final result for Part (i):
\[ \text{The simplified result is } 86. \]

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### Part (ii): Simplify `[-13 - (-17)] + [-22 - (-40)]`

1. **Identify the expression**:
\[ [-13 - (-17)] + [-22 - (-40)] \]

2. **Remove the double negatives**:
\[ -13 + 17 - 22 + 40 \]
(Again, subtracting a negative number is the same as adding the positive.)

3. **Perform the additions**:
- First, calculate \(-13 + 17\):
\[ -13 + 17 = 4 \]
- Next, calculate \(-22 + 40\):
\[ -22 + 40 = 18 \]

4. **Add the results together**:
\[ 4 + 18 = 22 \]

### Final result for Part (ii):
\[ \text{The simplified result is } 22. \]

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