Evaluate the following :
`859+(-2737)`

Options

A. `=-1878`
B. `=1877`
C. `=-1978`
D. `=-1870`

Answer

To evaluate the expression \( 859 + (-2737) \), we can follow these steps:

### Step 1: Rewrite the expression
The expression can be rewritten as:
\[ 859 + (-2737) = 859 - 2737 \]

### Step 2: Identify the larger number
In this case, we need to determine which number is larger. We have:
- \( 859 \)
- \( 2737 \)

Clearly, \( 2737 \) is larger than \( 859 \).

### Step 3: Perform the subtraction
Now, we will subtract the smaller number from the larger number:
\[ 2737 - 859 \]

### Step 4: Calculate the subtraction
Let's perform the subtraction:
1. Start from the rightmost digit:
- \( 7 - 9 \): We cannot subtract 9 from 7, so we need to borrow. This makes it \( 17 - 9 = 8 \) (we borrow 1 from the next column).
2. Next column:
- \( 2 - 5 \): Again, we cannot subtract 5 from 2, so we borrow. This makes it \( 12 - 5 = 7 \).
3. Next column:
- \( 6 - 8 \): We cannot subtract 8 from 6, so we borrow again. This makes it \( 16 - 8 = 8 \).
4. Finally, the leftmost column:
- \( 2 - 0 = 2 \) (since we borrowed 1 from 2, it becomes 1).

Putting it all together, we find:
\[ 2737 - 859 = 1878 \]

### Step 5: Determine the sign of the result
Since \( 2737 \) was the larger number and it had a negative sign, the result will also be negative:
\[ 859 + (-2737) = -1878 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{-1878} \]

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