## Comparing Exponents

#### Aligned To Common Core Standard:

**Grade 6 Expressions** - 6.EE.A.1

How to Compare the Value of Exponents - Comparing the number values of small numbers can be easy in comparison with the larger number of ones. For instance, if we wish to compare numbers like 9,760,000,000 and 893,400,000,000, we will have to firstly convert this large number into exponential form. The numbers need to be converted in exponential form to have any chance of understanding the larger (or smaller number).
The first number is 9.76 x 10^{9} and 8.934 x 10^{11}. In this example, the difference is visible, given that the exponent of the second number is greater than the first one. However, if take another example, like 23,630,000,000 and 24,300,000,000 and convert it in exponential forms with notations is 2.363 x 10^{10} and 2.43 x 10^{10} respectively. Now, the exponential values are the same in both numbers, so we'll look at the values before the exponent. 2.43 is greater than 2.363; thus, 2.43 x 10^{10} is greater than 2.363 x 10^{10}.
These worksheets and lessons will help students learn how to compare the end values of exponents.

### Printable Worksheets And Lessons

- Step-by-Step Lesson- Students will eventually be able to complete this problem in two steps.
- Guided Lesson - We introduce negative exponents and the power of 1.
- Guided Lesson Explanation - Some of the problems just take a glance to figure out. Other problems require a calculator.
- Practice Worksheet - This is your basic starter worksheet on this topic.
- Matching Worksheet - We choose this approach because it was a recent National Exam.

#### Homework Sheets

The homework works through the progression of the skill.

- Homework 1 - Convert to standard form and compare the following exponents.
- Homework 2 - Determine which exponent is greater than or less than.
- Homework 3 - Symbols will get her done here.

#### Practice Worksheets

These are tack on skill builders that work in sync with the worksheet above.

- Practice 2 - The space can be found below all this.
- Practice 3 - Use these symbols: >, <, or =.