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
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