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Evaluating Numerical Expressions with Exponents

6.EE.A.1
Answer Keys Here

Aligned To Common Core Standard:

Grade 6 Expressions and Equations - 6.EE.A.1

What Is an Exponent? The power or exponent of a number is the result of the multiplication of this number by itself a certain number of times according to the exponent. Examples: 22 = 2 × 2 = 4, 23 = 2 × 2 × 2 = 8, Do not confuse with multiplication: 23 = 2 × 2 × 2 = 8, 2 × 3 = 2 + 2 + 2 = 6 Exponent Power - General case: an reads "has exponent n" or "has the power n". Both terms are equivalent. For example, 68 reads " six exponent eight "or" six to the power eight". A power with an exponent equal to two can also be said "squared": 72 reads "seven squared". A power with an exponent equal to three can also be called "cube": 73 reads "seven cubed". The powers of 10 - The powers of 10 are special cases. They make it possible to write large numbers. 102 = 10 × 10 = 100 (two zeros after 1), 103 = 10 × 10 × 10 = 1,000 (three zeros), 104 = 10 × 10 × 10 × 10 = 10,000 (four zeros) Note that the number of zeros present in the power corresponds to the exponent. This is handy for representing a number. Thus, one million (1,000,000) can be written 106. This only works for powers of 10.

Printable Worksheets And Lessons




Homework Sheets

Start with expanding basic exponents then move on to products and sums with exponents.

  • Homework 1 - The exponent of a number tells you how many times it should be multiplied by itself.
  • Homework 2 - Write your answers in expanded form.
  • Homework 3 - Expand & evaluate 3^8



Practice Worksheets

Only the first sheet includes the use operations with the exponents.




Math Skill Quizzes

I revised these several times since the wording on standard has been changed each year.

  • Quiz 1 - Write in exponential form.
  • Quiz 2 - Write your answers in expanded form.
  • Quiz 3 - Check the expressions multiple times.