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Find the product : 0.6xx0.06xx0.006...

Find the product :
`0.6xx0.06xx0.006`

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The correct Answer is:
To find the product of \(0.6\), \(0.06\), and \(0.006\), we will follow these steps: ### Step 1: Ignore the decimal points and multiply the whole numbers. We will first multiply \(6\), \(6\), and \(6\) (the digits without the decimal points). \[ 6 \times 6 = 36 \] Now, we multiply \(36\) by \(6\): \[ 36 \times 6 = 216 \] ### Step 2: Count the total number of decimal places. Next, we need to determine how many decimal places are in the original numbers. - \(0.6\) has **1** decimal place. - \(0.06\) has **2** decimal places. - \(0.006\) has **3** decimal places. Adding these together gives: \[ 1 + 2 + 3 = 6 \text{ decimal places} \] ### Step 3: Place the decimal point in the product. Now, we take the product we calculated, which is \(216\), and place the decimal point to have a total of **6** decimal places. Starting with \(216\), we can write it as: \[ 216 = 216.000 \] To have **6** decimal places, we move the decimal point **3** places to the left, which gives us: \[ 0.000216 \] ### Final Answer: Thus, the product of \(0.6\), \(0.06\), and \(0.006\) is: \[ \boxed{0.000216} \] ---
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