125x.1

explain the decimal movement when
multiplying by .1

125 * 0.1 = 12.5

How did the decimal point change?

There is only 1 decimal place in .1, so you would move your decimal point one time to the left. Your answer will be 12.5

When multiplying a number by a decimal, such as 0.1, the decimal movement is determined by the number of decimal places in the decimal factor. In this case, 0.1 has one decimal place.

To understand how the decimal movement works, follow these steps:

Step 1: Multiply the whole number part of the number by the decimal factor. In this case, the whole number part of 125 is 125. Multiply 125 by 0.1:

125 x 0.1 = 12.5

Step 2: The product of the whole number part and the decimal factor will have the same decimal places as the decimal factor. Since 0.1 has one decimal place, the product will also have one decimal place.

Therefore, when you multiply 125 by 0.1, the result is 12.5. The decimal point moves one place to the left because the decimal factor has one decimal place.