how to multiply decimals by numbers

Question

ScanSolve AI Tutor · Accepted Answer

Okay, Samadhi, let's go through how to multiply decimals by whole numbers.

To multiply a decimal by a whole number, follow these steps:

Multiply the numbers as if they were both whole numbers, ignoring the decimal point for a moment.
Count the total number of decimal places in the original decimal number (the number of digits after the decimal point).
Place the decimal point in your product (the answer) so that it has the same number of decimal places as counted in Step 2.
Start counting from the right side of the product.
- Example: Multiply 3.45 by 6.
Multiply 345 by 6 (ignoring the decimal point).
$$ 345 \times 6 = 2070 $$

There are two digits after the decimal point (4 and 5), so there are 2 decimal places.

Starting from the right, count two places to the left:
$$
20.70
$$

So, $3.45 \times 6 = \boxed{\text{20.70}}$.

How to multiply decimals by numbers