# Measurement Powers of Ten Worksheets

How are Measurements Related to the Powers of Ten? Without measuring units, numbers have no real meaning, there are just a random combination of digits. These units give a number a meaning and help us understand exactly what a number is associated with. One thing that confuses many students are the conversion of between these units. An easy way to go about it is by using a metric system based on the powers of ten. Before you can start working on it, you need to understand how measurement are related to the powers of ten such as 10" are 101, 102, 103, 104, so on and so forth. When composing units with powers of ten, it resonates to multiplication, and when we are decomposing units with powers of ten, we are talking about division. It makes unit conversions simple, easy, and very convenient. To convert a unit, you just have to multiply with ‘powers of ten.’ Most of these calculations can also be done mentally. This is how measurements are related to the powers of ten.

103 (thousands) 102 (hundreds) 101 (tens) 100 (ones)
Meters
 decimeters
centimeters millimeters
Liters deciliters
 centiliters
milliliters

• ### Basic Lesson

Introduces the conversion of units by powers of ten.

• ### Intermediate Lesson

This lesson demonstrates how to convert large units by powers of ten.

• ### Independent Practice 1

Students practice converting centimeters to meters. The answers can be found below. Change the following into meters.

• ### Independent Practice 2

Students practice converting meters to centimeters. The answers can be found below.

• ### Homework Worksheet

Reviews all skills in the unit. A great take home sheet. Also provides a practice problem.

• ### Skill Quiz

10 problems that test the ability to convert between centimeters and meters.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.