-6.43 - 22.3 = ?

Understand the Problem

The question is asking to perform the arithmetic operation of subtracting two decimal numbers, -6.43 and 22.3, and find the result.

Answer

$-28.73$

Steps to Solve

Set up the subtraction Start with the subtraction of the two numbers: $$ -6.43 - 22.3 $$
Align the numbers Align the decimal points for clarity:
```
    -6.43
-  22.30
```
Perform the subtraction Since we are subtracting a positive number 22.3 from a negative number -6.43, we can think of it as: $$ -6.43 - 22.3 = - (6.43 + 22.3) $$
Calculate the sum of the absolute values Calculate the sum: $$ 6.43 + 22.3 = 28.73 $$
Combine the results Since we are subtracting a positive from a negative, the final result will be negative: $$ - (6.43 + 22.3) = -28.73 $$

The result of the subtraction is $-28.73$.

More Information

Subtracting a larger positive number from a smaller negative number results in a more negative outcome. In this example, you can visualize it on a number line, where moving left from -6.43 by 22.3 leads you to -28.73.

Tips

A common mistake is forgetting to convert the subtraction of a positive number from a negative, which can lead to a misunderstanding of the final sign of the result. Always remember that subtracting a positive number from a negative will yield a negative result.

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