12.54 + (-24.673)

Understand the Problem

The question is asking to perform an addition operation involving a positive number and a negative number. We will add 12.54 and -24.673.

Answer

The result is $-12.133$.
Answer for screen readers

The final answer is $-12.133$.

Steps to Solve

  1. Identify the numbers to add

The problem involves adding two numbers: $12.54$ (a positive number) and $-24.673$ (a negative number).

  1. Rewrite the addition operation

When adding a positive number to a negative number, you can think of it as subtraction. Thus, the operation can be rewritten as: $$ 12.54 + (-24.673) = 12.54 - 24.673 $$

  1. Perform the subtraction

Now, let's perform the subtraction: $$ 12.54 - 24.673 $$

Since $24.673$ is larger than $12.54$, the result will be negative.

  1. Calculate the absolute values and combine

Calculate: $$ 24.673 - 12.54 = 12.133 $$

Since the larger absolute value is from the negative number, the final answer will be: $$ -12.133 $$

The final answer is $-12.133$.

More Information

When adding a positive number and a negative number, the result depends on which number has the larger absolute value. In this case, the negative number was larger, leading to a negative result.

Tips

  • Miscalculating the subtraction by not properly aligning the decimal points.
  • Confusing the signs and thinking that adding a positive and negative number results in a positive overall.
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