Question

10.82 + -15.96

Answer 1

step by step please

Answer 2

To add 10.82 and -15.96, you perform the following calculation:

10.82 + (-15.96) = 10.82 - 15.96 = -5.14

So, the result is -5.14.

Answer 3

Sure! Let's break down the calculation of \( 10.82 + (-15.96) \) step by step.

### Step 1: Understand the numbers
- \( 10.82 \) is a positive number.
- \( -15.96 \) is a negative number.

### Step 2: Recognize the operation
You are adding a positive number to a negative number. When you add a positive number to a negative number, you can think of it as subtracting the absolute value of the negative number from the positive number.

### Step 3: Find the absolute values
- The absolute value of \( -15.96 \) is \( 15.96 \).

### Step 4: Subtract the absolute value of the negative number from the positive number
Now you perform the subtraction:

\[
10.82 - 15.96
\]

### Step 5: Perform the subtraction
To subtract these numbers, you can align them vertically:

```
10.82
- 15.96
---------
```

### Step 6: Borrow if necessary
Since \( 10.82 \) is less than \( 15.96 \), the result will be negative. We can convert this to a more manageable calculation.

1. Change the numbers to help with the subtraction:
- Convert \( 10.82 \) to \( 10.82 + 15.96 \).
- But we already acknowledged that \( 10.82 < 15.96 \).

Now, since \( 15.96 \) is larger than \( 10.82 \):
\[
15.96 - 10.82
\]

### Step 7: Actually perform the subtraction
To calculate:

1. Subtract the whole numbers:
- \( 15 - 10 = 5 \)

2. Now, subtract the decimals:
- \( 0.96 - 0.82 = 0.14 \)

Combining those results gives:
\[
5 - 0.14 = 5.14
\]

### Step 8: Determine the sign
Since the larger number was negative, the answer will also be negative:

Thus, \( 10.82 + (-15.96) = -5.14 \).

### Final Answer
\(-5.14\)