32.6 + (-56.24)
Understand the Problem
The question is asking to perform a mathematical operation involving addition and subtraction with decimals.
Answer
The result of the operation is $-23.64$.
Answer for screen readers
The final answer is: $-23.64$
Steps to Solve
-
Identify the operation
We need to perform the addition of $32.6$ and $-56.24$. -
Rewrite the expression
This can be rewritten as:
$$ 32.6 - 56.24 $$ -
Align the decimals
To perform the subtraction, align the numbers by their decimal points:
32.60
- 56.24
-
Perform the subtraction
Subtract the second number from the first number. Starting from the right:
- In the hundredths place: $0 - 4 = -4$ (borrow 1)
- In the tenths place: $5 - 2 - 1 (borrow) = 2$
- In the ones place: $2 - 6 = -4$ (borrow 1), simplifies to $12 - 6 = 6$ (after borrowing)
- In the tens place, $2 (after borrowing) - 5 = -3$
So, we have:
32.60
- 56.24
---------
-23.64
-
Final result
The result of the operation is:
$$ 32.6 + (-56.24) = -23.64 $$
The final answer is: $-23.64$
More Information
The operation involves adding a positive number and a negative number, which is equivalent to subtracting the absolute values. The result is negative because the absolute value of $-56.24$ is greater than $32.6$.
Tips
- Not aligning the decimal points correctly when subtracting.
- Forgetting to borrow when necessary during subtraction.
- Confusing the operations (adding vs. subtracting).
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