Evaluating Numerical Expressions with Exponents
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
- Exponent Conversion
Step-by-step Lesson- Convert repeated multiplication to exponent
- Guided Lesson
- We cover simple exponent conversion and then include it in sums
- Guided Lesson Explanation
- I forgot how hard exponents were to explain with just writing.
- Practice Worksheet
- I only dedicated 20% of the problems to using exponents in operations.
Everything else is just exponent conversion.
- Making Exponents Five
Pack - Convert everything you see to exponents.
- Evaluate Expressions
with Fractional Exponents Five Pack - Some pretty difficult
exponents to work with here guys.
- Writing Exponents Five
Pack - Everything is in standard form or an equation. Write
those as exponents.
- Matching Worksheet - One of the answers in this one is huge!
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
Only the first sheet includes the use operations with the exponents.