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Grade 8:  The Learning Equation Math

11.01 Working with Exponents

The student will:

• demonstrate and explain the meaning of a negative exponent, using patterns (limit to base 10).

• represent any number in scientific notation and visa versa.

• classify natural numbers, whole numbers, integers, and rational numbers. The animation below includes irrational and real numbers which is part of the grade 9 course.

Test your knowledge of number systems by completing the following 5-level game:

• Natural Numbers
• Whole Numbers
• Integers
• Rational Numbers
• Irrational Numbers - Optional for this year

Review Number Systems above if you need help.  Good Luck!Good Luck!

Review:

 

Concept/Term Example(s) Definition/Explanation power 81 is the fourth power of 3, because: 3 x 3 x 3 x 3 = 81 34 is another way of writing this power the answer from multiplying a number by itself one or more times. A power has two parts: baseexponent = 34  and can be written/read in several ways: the fourth power of three three exponent four three to the fourth power 32 33 Exponents 2 and 3 can also be written/read another way: 32  is read three squared 33  is read three cubed base In 34 , the base is 3. the number being multiplied in a power exponent In 34 , the exponent is 4. the number of times a number is being multiplied by itself in a power   Powers can be expressed in exponential, expanded, or standard from. Exponential Form (Power) Expanded Form/Repeated Multiplication Standard Form (Standard Name) 34 3 x 3 x 3 x 3 81 33 3 x 3 x 3 27 32 3 x 3 9 31 3 3 30 no expanded form 1   Recall the pattern for powers of 10.  Exponential Notation (Powers of 10) Exponential Form (Power) Expanded Form/Repeated Multiplication Standard Name 106 10x10x10x10x10x10 1000000 105 10x10x10x10x10 100000 104 10x10x10x10 10000 103 10x10x10 1000 102 10x10 100 101 10 10 100 1 1 10-1 1/10 0.1 10-2 1/10 x 1/10 0.01 10-3 1/10 x 1/10 x 1/10   0.001

Number Systems Chart

Natural Numbers

Types of Numbers

Integer Exponents

Decimal to Scientific Conversions

Key Terms:

standard form, expanded form, factored form, scientific notation, exponent, power of 10

Wordsearch 1101-1105

Prerequisite Skills:

• Create expressions and rules to describe, complete, and extend patterns and relationships.

1 11 21 1211 111221 ... What's the next number?

FIBONACCI SEQUENCE

• Define and use power, base, and exponent to represent repeated multiplication.

Powers and Exponents:   Grade 7 Lesson 11.01

• Write a whole number as an expanded numeral, using powers of 10, and in scientific notation, and vice versa.

Scientific Notation:  Grade 7 Lesson 11.03

• Predict and justify possible nth values of a number pattern.

Patterns and Relations:   Grade 7 Lesson 21.01

GCSE Answers' Easy Start Functions and Sequences

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Comments to:  Jim Reed

Started September, 1998. Copyright © 1999, 2000

visitors since September 3, 2000