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Evaluate: 0.002 xx 100...

Evaluate:
`0.002 xx 100`

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The correct Answer is:
To evaluate \( 0.002 \times 100 \), we can follow these steps: ### Step 1: Write the multiplication We start with the expression: \[ 0.002 \times 100 \] ### Step 2: Remove the decimal point To make the multiplication easier, we can express \( 0.002 \) as a fraction. We know that: \[ 0.002 = \frac{2}{1000} \] So we can rewrite the expression: \[ 0.002 \times 100 = \frac{2}{1000} \times 100 \] ### Step 3: Simplify the multiplication Now, we can multiply the fraction: \[ \frac{2 \times 100}{1000} \] This simplifies to: \[ \frac{200}{1000} \] ### Step 4: Reduce the fraction Next, we can simplify \( \frac{200}{1000} \) by dividing both the numerator and the denominator by 200: \[ \frac{200 \div 200}{1000 \div 200} = \frac{1}{5} \] ### Step 5: Convert the fraction to decimal Now, we convert \( \frac{1}{5} \) to decimal form. We know that: \[ \frac{1}{5} = 0.2 \] ### Final Answer Thus, the final answer is: \[ 0.002 \times 100 = 0.2 \] ---
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