Find the product `0.68 xx 6.5 xx 0.04.`

Answer

To find the product of \(0.68 \times 6.5 \times 0.04\), we can follow these steps:

### Step 1: Remove the Decimals
First, we will convert the decimal numbers into whole numbers by multiplying them by powers of 10.

- \(0.68\) has 2 decimal places, so we multiply it by \(100\) (which is \(10^2\)).
- \(6.5\) has 1 decimal place, so we multiply it by \(10\) (which is \(10^1\)).
- \(0.04\) has 2 decimal places, so we multiply it by \(100\) (which is \(10^2\)).

Thus, we can rewrite the expression as:
\[ (0.68 \times 100) \times (6.5 \times 10) \times (0.04 \times 100) = 68 \times 65 \times 4 \]

### Step 2: Multiply the Whole Numbers
Now, we will calculate \(68 \times 65\) first.

\[ 68 \times 65 = 4420 \]

Next, we multiply this result by \(4\):

\[ 4420 \times 4 = 17680 \]

### Step 3: Adjust for the Decimal Places
Now we need to adjust for the decimal places we removed in Step 1.

- We originally removed \(2\) decimal places from \(0.68\), \(1\) decimal place from \(6.5\), and \(2\) decimal places from \(0.04\).
- In total, we removed \(2 + 1 + 2 = 5\) decimal places.

So, we need to place the decimal point back in the result \(17680\) to get:
\[ 0.17680 \]

### Final Answer
Thus, the final product of \(0.68 \times 6.5 \times 0.04\) is:
\[ \boxed{0.1768} \]

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