Problem

Word problem with powers of ten

The volume of 10,000 drops of a liquid is 100 fluid ounces.

What is the volume of 10 drops?

Answer

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Answer

Final Answer: The volume of 10 drops is \(\boxed{0.1}\) fluid ounces.

Steps

Step 1 ：Translate the problem into a mathematical equation. Let's denote the volume of 10 drops as x. Then we can set up the proportion as follows: \(\frac{10000 \text{ drops}}{100 \text{ fluid ounces}} = \frac{10 \text{ drops}}{x \text{ fluid ounces}}\)

Step 2 ：Solve the equation for x. Cross multiply to get \(10000 \times x = 100 \times 10\)

Step 3 ：Simplify the equation to get \(x = \frac{100 \times 10}{10000}\)

Step 4 ：Calculate the value of x to get \(x = 0.1\)

Step 5 ：Final Answer: The volume of 10 drops is \(\boxed{0.1}\) fluid ounces.

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