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Find the product. 0.007 xx 100...

Find the product.
`0.007 xx 100`

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The correct Answer is:
To find the product of \(0.007\) and \(100\), we can follow these steps: ### Step 1: Write the decimal in fraction form We can express \(0.007\) as a fraction. Since \(0.007\) has three decimal places, we can write it as: \[ 0.007 = \frac{7}{1000} \] ### Step 2: Multiply the fraction by \(100\) Now, we multiply the fraction by \(100\): \[ \frac{7}{1000} \times 100 \] ### Step 3: Simplify the multiplication When we multiply \(\frac{7}{1000}\) by \(100\), we can simplify it: \[ \frac{7 \times 100}{1000} = \frac{700}{1000} \] ### Step 4: Simplify the fraction Now, we can simplify \(\frac{700}{1000}\): \[ \frac{700 \div 100}{1000 \div 100} = \frac{7}{10} \] ### Step 5: Convert the fraction back to decimal Now, we convert \(\frac{7}{10}\) back to decimal form: \[ \frac{7}{10} = 0.7 \] ### Final Answer Thus, the product of \(0.007\) and \(100\) is: \[ \boxed{0.7} \] ---
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