Question

you need to multiply 7.809 by 3.2.

how many numbers will fall after the decimal point in your solution?

a.) 2
b.) 3
c.) 4
d.) 5

Explanation:

Count decimal places in each factor

The first factor \(7.809\) has \(3\) decimal places.
The second factor \(3.2\) has \(1\) decimal place.

Add the decimal places

$$ 3 + 1 = 4 $$

Verify trailing zeros in product

Multiply the last digits: \(9 \times 2 = 18\).
Since the last digit of the product is \(8\) (not \(0\)), no trailing zeros are eliminated.
Thus, the product has exactly \(4\) decimal places.

Answer:

• a.) 2
• b.) 3
• c.) 4 (Correct answer)
• d.) 5