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0.001div?=0.01...

`0.001div?=0.01`

A

10

B

0.1

C

0.01

D

0.001

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 0.001 \div ? = 0.01 \), we need to find the value of the question mark. Let's denote the question mark as \( x \). ### Step-by-Step Solution: 1. **Set up the equation**: \[ 0.001 \div x = 0.01 \] 2. **Rewrite the equation**: We can rewrite the division as multiplication by the reciprocal: \[ 0.001 = 0.01 \times x \] 3. **Isolate \( x \)**: To find \( x \), we can divide both sides of the equation by \( 0.01 \): \[ x = \frac{0.001}{0.01} \] 4. **Perform the division**: To simplify \( \frac{0.001}{0.01} \), we can convert both numbers to fractions: \[ \frac{0.001}{0.01} = \frac{1}{1000} \div \frac{1}{100} = \frac{1}{1000} \times \frac{100}{1} = \frac{100}{1000} = \frac{1}{10} \] 5. **Convert the fraction back to decimal**: \[ \frac{1}{10} = 0.1 \] 6. **Final answer**: Therefore, the value of \( x \) is: \[ x = 0.1 \] ### Summary: The question mark \( ? \) in the equation \( 0.001 \div ? = 0.01 \) is equal to \( 0.1 \). ---
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