# 8 Multiplying by Powers of 10 Worksheet | Free Printable

Calculations and equations can be solved using mathematical operations, which are important instruments in the study of mathematics. Addition, subtraction, multiplication, division, exponentiation, and more complex operations like logarithms, trigonometric functions, and calculus are just a few examples of the various types of mathematical operations. In this article, I will provide you multiplying by powers of 10 worksheet.

## 8 Multiplying by Powers of 10 Worksheet In multiplication, a quantity is added to itself a predetermined number of times in a repeating addition process. Multiplication’s opposite operation, division, is used to divide a quantity into equal pieces. We will see the multiplication and division of any numbers by powers of 10 in this article. ## 3 Activities for Multiplying by Powers of 10 Worksheet

This multiplying by powers of 10 worksheet can help our children learn the basics of mathematics fast and actively. These techniques work really well.

These methods should aid your young champion in laying a solid foundation by introducing them to the basic concepts of mathematical operation learning.

For the worksheets on multiplying and dividing by powers of 10, follow the detailed directions listed below.

### Multiplying by Powers of 10

Mathematicians frequently multiply by powers of 10, which is particularly helpful when dealing with large or small numbers. Depending on the power of 10 being multiplied, multiplying by powers of 10 simply entails appending a specific number of zeros to the end of an integer.

For instance, we add a zero to the end of 5 to get 50 when we multiply 5 by 10. Add two zeros to the end of 5 to produce 500, which is the result of multiplying 5 by 100 (10 to the power of 2). Similar to this, we add three zeros to the end of 5 to get 5000 when multiplying 5 by 1000 (10 to the power of 3).

You can change between different measuring units by multiplying by powers of 10. For instance, since there are 100 centimeters in a meter, we may multiply 3 by 100 to get 300 centimeters when converting from meters to centimeters.

It’s crucial to remember that when multiplying by powers of 10, the value of the original number remains unchanged. The numerals’ positions are the only thing that alters. As an illustration, 5 is equivalent to 5 times 1, equivalent to 5 times 10 to the power of 0. Thus, using powers of 10 to multiply numbers is a convenient short cut that enables us to easily manipulate numbers without altering their value. ### Match the Result

This is quite an easy game. All you need to do here is to match the result after multiplying and dividing by powers of 10. Some expressions will be given in the left and right columns, which will provide the answers haphazardly. Your job is to match the results of expressions by drawing lines. ### Multiplying by Powers of 10 Word Problems

Here, you need to solve the word problems by multiplying and dividing by powers of 10. Problems will be provided in the worksheet. Practice the word problems based on multiplying and dividing by powers of 10.

## Dividing by Powers of 10

The opposite of multiplication by powers of ten is to divide by them. The decimal point is simply shifted to the left, depending on the power of 10 is divided when dividing by powers of 10.

For instance, we move the decimal point one place to the left to get 50 when we divide 500 by 10. We shift the decimal point two places to the left to obtain 50 in order to divide 5000 by 100 (which is 10 to the power of 2). Similar to this, we shift the decimal point three places to the left to get 5 when we divide 5000 by 1000 (10 to the power of 3).

You can change the units of measurement by dividing by powers of ten as well. Since there are 100 centimeters in a meter, for instance, 300 centimeters can be converted to 3 meters by dividing them by 100.

It’s crucial to remember that when dividing by powers of 10, the value of the original number remains constant. The decimal point’s location is the only item that varies. For instance, 50 is equivalent to 500 divided by 10, which is equivalent to 5000 divided by 100, which is equivalent to 5 to the power of 10 divided by 1. Thus, dividing by powers of 10 is a practical shortcut that enables us to quickly work with numbers. 