Question

Two factors are​ multiplied, and their product is 32.3046. One factor is a whole number. How many decimal places are in the other​ factor? Tell how you know. Question content area bottom Part 1 The other factor has enter your response here decimal​ place(s) because the number of decimal places in a product is the ▼ product of difference between quotient of sum of the number of decimal places in the factors. ​(Type a whole​ number.)

Answer 1

• The other factor has 4 decimal​ place(s) because
• the number of decimal places in a product is the sum of the number of decimal places in the factors.

Explanation:

You want to know the number of decimal places in the second factor of 32.3046 if the first factor is a whole number.

Decimals

In general, the number of digits in the decimal fraction of a product is the sum of the numbers of decimal digits in the factors. This is why the standard multiplication algorithm for decimals has you treat them as integers, then place the decimal point in the product so there will be as many decimal digits as the sum of the numbers of decimal digits in the factors.

Here, if one factor has 0 decimal digits in its fraction, and the product has 4, that means the other factor must have 4 decimal digits in its fraction.

Example

For example, ...

9 × 3.5894 = 32.3046

The factor 3.5894 has 4 digits in its fraction.

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Additional comment

The whole number factor for this product could be any of ...

{1, 2, 3, 6, 9, 18, 131, 137, 262, 274, 393, 411, 786, 822, 1179, 1233, 2358, 2466, 17947, 35894, 53841, 107682, 161523, 323046}

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