Add the integers :
`-523` and `937`

Options

A. 523
B. 937
C. 1460
D. 414

Answer

To solve the problem of adding the integers -523 and 937, we can follow these steps:

### Step 1: Identify the integers
We are given two integers: -523 and 937.

### Step 2: Set up the addition
We need to add these two integers together:
\[ -523 + 937 \]

### Step 3: Determine the signs
We notice that -523 is negative and 937 is positive. When adding a positive and a negative integer, we will subtract the smaller absolute value from the larger absolute value.

### Step 4: Subtract the absolute values
Now, we will subtract the absolute value of -523 from the absolute value of 937:
\[ 937 - 523 \]

### Step 5: Perform the subtraction
Let's calculate:
- From the units place: \(7 - 3 = 4\)
- From the tens place: \(3 - 2 = 1\)
- From the hundreds place: \(9 - 5 = 4\)

Putting it all together, we get:
\[ 937 - 523 = 414 \]

### Step 6: Determine the sign of the result
Since the larger absolute value (937) is positive, the result will also be positive. Therefore, we can write:
\[ -523 + 937 = 414 \]

### Final Answer
The sum of -523 and 937 is:
\[ \boxed{414} \]

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