What does multiplying a decimal by 10 100 or 1000 mean?

What does multiplying a decimal by 10 100 or 1000 mean?

When the multiplier is 10, 100 or 1000, we move the decimal point to the right by as many places as number of zeroes after 1 in the multiplier. 1. To multiply a decimal by 10, move the decimal point in the multiplicant by one place to the right.

What is the rule for dividing by 10?

Here’s the rule for dividing by 10: move the decimal point one place to the left. Place value is the value of a digit based on its location in the number. Beginning with a decimal point and moving left, we have the ones, tens, hundreds, thousands, ten thousands, hundred thousands, and millions.

How do we multiply quickly by 10 or 100 mentally?

When multiplying or dividing by 10 or 100, or any power of ten, for that matter, move the decimal point the same number of places as there are zeros in the power of ten factor.

How to multiply and divide decimals by 10, 100 and 1000?

Multiply and Divide Decimals by 10, 100, and 1000 (powers of ten) There is a similar shortcut for multiplying decimal numbers by numbers such as 10, 100, and 1000: Move the decimal point to the right as many places as there are zeros in the factor.

Are there any free worksheets for decimal division?

See also my free lesson Multiply and Divide Decimals by 10, 100, and 1000 (powers of ten) Decimals worksheet generator — generate worksheets for any of the four operations with decimals, in horizontal or vertical formats. This is a workbook series by Key Curriculum Press that begins with basic concepts and operations on decimals.

How to divide a number by a decimal?

Divide a whole number or a decimal by a decimal using long division. Divide decimals by decimals 1: Dividend less than 10; divisor 1-2 digits. Divide decimals by decimals 2: Dividend varies more; divisor 1-2 digits. Divide decimals by decimals 3: the divisor has 1-3 decimal digits. Divide decimals by decimals, generic.

Why does dividing by 10, 100 and 1000 work?

The similar shortcut for division works because division is the opposite operation of multiplication—it “undoes” multiplication. If we move the decimal point to the right when multiplying by 10, 100, 1000 and so on, then it is quite natural that the rule for division would work…