## Topic A: Exponential Notation and Properties of Integer Exponents

**Focus Standards**

*(**8.EE.1) Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 x 3-5 = 3-3 = 1/33 = 1/27.*

**Lesson 1:**Exponential Notation

**Lesson 2:**Multiplication and Division of Numbers in Exponential Form

**Lesson 3:**Numbers in Exponential Form Raised to a Power

**Lesson 4:**Numbers Raised to the Zeroth Power

**Lesson 5:**Negative Exponents and the Laws of Exponents

**Lesson 6:**Proofs of Laws of Exponents

*Mid-Module Assessment: 8.EE.1***_____________________________________**

*Date:***New or Recently Introduced Terms**

**Scientific Notation**(The scientific notation

*for a finite decimal*is the representation of that decimal as the product of a decimal

*s*and a power of 10, where

*satisfies the property that it is at least , but smaller than , or in symbolic notation, . For example, the scientific notation for is .)*

**Order of Magnitude**(The order of magnitude

*of a finite decimal*is the exponent in the power of 10 when that decimal is expressed in scientific notation. For example, the order of magnitude of is , because when is expressed in scientific notation as , is the exponent of .

*Sometimes we also include the number*

*in the definition of order of magnitude*and say that the order of magnitude of is .)

**Familiar Terms and Symbols**

- Exponential Notation
- Base, Exponent, Power
- Integer
- Whole Number
- Expanded Form (of decimal numbers)
- Square and Cube (of a number)
- Equivalent Fractions