-5.642 - 2.57 = 14.25 + (-27.381) =
Understand the Problem
The question involves evaluating two mathematical expressions involving addition and subtraction of negative and positive numbers. The first expression is the subtraction of two negative numbers, and the second expression involves the addition of a positive number and a negative number.
Answer
$-8.212$ and $-13.131$
Answer for screen readers
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The first expression evaluates to $-8.212$.
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The second expression evaluates to $-13.131$.
Steps to Solve
- Evaluate the first expression: -5.642 - 2.57
To subtract two negative numbers, convert the subtraction of a negative into the addition of a positive.
$$ -5.642 - 2.57 = -5.642 + (-2.57) $$
This gives us:
$$ = -5.642 - 2.57 = -8.212 $$
- Evaluate the second expression: 14.25 + (-27.381)
To add a positive number and a negative number, subtract the absolute values and keep the sign of the larger absolute value.
$$ 14.25 + (-27.381) = 14.25 - 27.381 $$
Calculating this yields:
$$ = -13.131 $$
- Present the results
Now we state the results of both expressions:
For the first expression:
$$ -5.642 - 2.57 = -8.212 $$
For the second expression:
$$ 14.25 + (-27.381) = -13.131 $$
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The first expression evaluates to $-8.212$.
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The second expression evaluates to $-13.131$.
More Information
The calculations show how adding and subtracting negative numbers works. Subtracting a negative is equivalent to adding, while adding a positive number and a negative number requires focusing on their absolute values.
Tips
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Confusing subtraction of negative numbers as adding positive numbers. Remember, when subtracting a negative, it becomes addition.
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Miscalculating when combining positive and negative numbers. Always consider the signs and follow the rules for adding and subtracting.
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