10.82 + -15.96

Answer 1

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 2

step by step please

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

\(-5.14\)