Using mathematical tables, evaluate (15.05 * √0.0095)
Understand the Problem
The question is asking us to evaluate the expression (15.05 * √0.0095). To solve this, we will first calculate the square root of 0.0095 using mathematical tables and then multiply the result by 15.05.
Answer
$1.47$
Answer for screen readers
The final answer is $1.47$.
Steps to Solve
- Calculate the square root of 0.0095
Use a calculator or mathematical tables to find the square root:
$$ \sqrt{0.0095} \approx 0.0975 $$
- Multiply the result by 15.05
Now we will take the square root we calculated and multiply it by 15.05:
$$ 15.05 \times 0.0975 $$
- Perform the multiplication
Now let's perform the multiplication:
$$ 15.05 \times 0.0975 \approx 1.466875 $$
- Round the result
Rounding to two decimal places gives us:
$$ 1.47 $$
The final answer is $1.47$.
More Information
The answer represents the value obtained by evaluating the expression after calculating the square root and performing the multiplication. The square root of a small number like 0.0095 can often be approximated quickly, which helps speed up calculations.
Tips
- Not using a calculator for square roots of decimals: Make sure to use a calculator for accurate results with square roots of decimal numbers.
- Forgetting to multiply after obtaining the square root: Ensure both steps in the calculation are completed.
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