Simplify the expression. |9 - 1| + 2 / 9 + 2 · 5
Understand the Problem
The question is asking to simplify the given mathematical expression that involves an absolute value and basic arithmetic operations.
Answer
The simplified expression is \( \frac{10}{19} \).
Answer for screen readers
The simplified expression is ( \frac{10}{19} ).
Steps to Solve
- Evaluate the Absolute Value
Calculate the absolute value of the expression inside the brackets:
$$ |9 - 1| = |8| = 8 $$
- Simplify the Numerator
Substituting the absolute value back into the expression, we have:
$$ 8 + 2 = 10 $$
- Evaluate the Denominator
Now, simplify the denominator:
$$ 9 + 2 \cdot 5 = 9 + 10 = 19 $$
- Combine the Results
Now combine the results into one expression:
$$ \frac{10}{19} $$
The simplified expression is ( \frac{10}{19} ).
More Information
This expression represents a fraction. The absolute value is crucial in determining the numerator's value. Simplifying the denominator involves applying the order of operations, where multiplication is done before addition.
Tips
- Forgetting to evaluate the absolute value correctly can lead to an incorrect numerator.
- Misapplying the order of operations when simplifying the denominator, such as performing addition before multiplication.
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