Compute 27.5 + (-2.4) and 4.5 - 29.26.

Understand the Problem

The question is asking to compute the results of two mathematical expressions: adding 27.5 and -2.4, and subtracting 29.26 from 4.5. The goal is to find the answers for these computations.

Answer

$27.5 + (-2.4) = 25.1$; $4.5 - 29.26 = -24.76$

Steps to Solve

Addition of Numbers

We will first compute the sum of $27.5$ and $-2.4$.

This can be approached as:

$$ 27.5 + (-2.4) = 27.5 - 2.4 $$

Now, we'll perform the subtraction:

$$ 27.5 - 2.4 = 25.1 $$

Subtraction of Numbers

Next, we will subtract $29.26$ from $4.5$.

This can be represented as:

$$ 4.5 - 29.26 $$

Since $4.5$ is less than $29.26$, the result will be negative:

$$ 4.5 - 29.26 = -24.76 $$

$27.5 + (-2.4) = 25.1$

$4.5 - 29.26 = -24.76$

More Information

The process of adding a negative number is equivalent to subtraction, which is why $27.5 + (-2.4)$ is calculated as $27.5 - 2.4$. Subtracting a larger number from a smaller one leads to a negative result.

Tips

Mistaking $-2.4$ as adding instead of recognizing it as subtraction can lead to incorrect results.
Forgetting to borrow when dealing with decimals in subtraction can also lead to errors.

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