# How to Calculate Multiplication and Division of Decimals by Powers of Ten

In this step-by-step guide, you will learn how to multiply and divide decimals by powers of ten. ## A step-by-step guide tomultiplication and division decimals by powers of ten

Whenever you want to multiply by the power of $$10$$, move the decimal over to the right-hand side with the identical number of spaces as the number of zeros or as the exponent.

To multiply any whole number via $$10$$, you must multiply the numbers and then put a $$0$$ after the last digit in this number.

Whenever you want to divide via the power of $$10$$, move its decimal toward the left-hand side of the identical number of spaces as the number of zeros or as the exponent.

To divide any multiple of $$10$$ by $$10$$, you must take out the last zero digit which is in one place from the number.

### Multiplication and Division of Decimals by Powers of Ten – Example 1

Divide: $$7.7÷10=$$__?
Solution:
Step 1: Count the zeros in $$10$$. There is $$1$$ zero in $$10$$.
Step 2: Move the decimal point $$1$$ place to the left in $$7.7$$. So, $$7.7→0.77$$
$$7.7÷10=0.77$$

### Multiplication and Division of Decimals by Powers of Ten – Example 2

Multiply: $$100×0.436=$$__?
Solution:
Step 1: Count the zeros in $$100$$. There are $$2$$ zeros in $$100$$.
Step 2: Move the decimal point $$2$$ places to the right in $$0.436$$. So, $$0.436→43.6$$
$$100×0.436=43.6$$

## Exercises forMultiplication and Division of Decimals by Powers of Ten

### Solve.

1. $$\color{blue}{0.065 ÷ 10}$$
2. $$\color{blue}{0.243 × 1000}$$
3. $$\color{blue}{0.8954 × 100}$$
4. $$\color{blue}{0.25 ÷ 100}$$
1. $$\color{blue}{0.0065}$$
2. $$\color{blue}{243}$$
3. $$\color{blue}{89.54}$$
4. $$\color{blue}{0.0025}$$

### What people say about "How to Calculate Multiplication and Division of Decimals by Powers of Ten - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.

X
30% OFF

Limited time only!

Save Over 30%

SAVE $5 It was$16.99 now it is \$11.99