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Comparing Exponents

Answer Keys Here

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 109 and 8.934 x 1011. 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 1010 and 2.43 x 1010 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 1010 is greater than 2.363 x 1010. These worksheets and lessons will help students learn how to compare the end values of exponents.

Printable Worksheets And Lessons

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.

Math Skill Quizzes

The difficulty progresses with each successive worksheet.

  • Quiz 1 - Show all your work here.
  • Quiz 2 - Remember what the value of a negative exponent is before you proceed.
  • Quiz 3 - Some of those fractions are sizable.