## 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
use.

- Guided Lesson
- We cover simple exponent conversion and then include it in sums
and differences.

- 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!

#### 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.

- Practice 1 - Evaluate some terms and then expand them.
- Practice 2 - Expanding Exponents
- Practice 3 - We use much larger values here.