# Activities to Teach Students About Exponents With Decimal Bases

Exponents with decimal bases can be a challenging concept for students to understand. However, there are many activities that educators can use to teach this important math concept in a fun and engaging way.

1. Exponent Introduction

If students are new to exponents, begin with a simple introduction to the concept. Write a decimal number on the board, such as 1.5, and ask students to brainstorm ways to write the number using multiplication. For example, 1.5 could be written as 1.5 x 1, 1.5 x 2/3, or 1.5 x 1.25. Introduce the concept of exponents by writing 1.5² on the board and explaining that this means 1.5 x 1.5.

2. Dice Game

A dice game can be a fun way to teach students about exponents with decimal bases. Provide each student with a small cup of dice and a worksheet with decimal numbers on it. Students should roll the dice to create a decimal number and then write the number and its square on their worksheet using exponents. For example, if a student rolls 0.3 they would write 0.3² = 0.09. The student with the most correct answers at the end of the game wins.

3. Real Life Applications

Use real-life applications to make the concept of exponents with decimal bases more relatable to students. For example, explain how a recipe can be scaled up or down using exponents. If a recipe calls for 1/4 cup of sugar, quadrupling the recipe would require 1 cup of sugar, or 1/4 x 4² cups of sugar.

4. Group Problem Solving

Split the class into small groups and provide each group with a set of problems involving exponents with decimal bases. Students should work together to solve the problems and then share their solutions with the class. This activity encourages collaboration and helps students to learn from each other.

5. Online Games and Activities

There are many online games and activities that can be used to teach about exponents with decimal bases. Websites such as MathPlayground.com and Mathgames.com offer a wide variety of games and activities for students of all ages and skill levels.

In conclusion, exponents with decimal bases can be a challenging concept for students to understand. However, with the right activities and strategies, educators can help their students to master this important math concept in a fun and engaging way. Whether using real life applications, group problem solving, or online games and activities, there are many ways to teach exponents with decimal bases that will leave a lasting impact on students.