Question

select the product that shows the correct placement of the decimal point.

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$$\begin{array}{r} 30.76 \\\\ \\times \\quad 0.08 \\end{array}$$

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• 2.4608
• 24.608
• 246.08
• 2460.8

Explanation:

Count the decimal places

To multiply decimals, first count the total decimal places in both factors.
Using the Decimal Places knowledge point:

• \(30.76\) has \(2\) decimal places.
• \(0.08\) has \(2\) decimal places.
• Total decimal places needed: \(2 + 2 = 4\).

Multiply as whole numbers

Next, multiply the numbers as if they were whole numbers.
Using the Decimal Multiplication knowledge point:

$$ 3076 \times 8 = 24608 $$

Place the decimal point

Now, place the decimal point in the product.
Using the Decimal Places knowledge point:

• Start from the right of \(24608\) and move the decimal point \(4\) places to the left.
• This gives \(2.4608\).

Answer:

• (A) 2.4608 (Correct answer)
• (B) 24.608
• (C) 246.08
• (D) 2460.8