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Exponents Resources

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Fifth Grade Independent Study Packet - Week 6
Fifth Grade Independent Study Packet - Week 6
Workbook
Fifth Grade Independent Study Packet - Week 6
This fifth grade independent study packet provides students with Week 6 of remote learning opportunities.
5th grade
Social studies
Workbook
Exponents
Exponents
Exercise
Exponents
Demystify the concept of exponents for students with a simple round of practice with this exercise.
5th grade
Math
Exercise
Multiplication 3
Multiplication 3
Guided Lesson
Multiplication 3
Multiplication is essentially repeated addition, or growing numbers by doubling, tripling, quadrupling, and so on. This unit presents mental models and strategies that help students learn and review the concept of multiplication. Students explore multiplication using arrays, partial products, doubling methods and the standard algorithm to solve numerical and word problems. Students will multiply whole numbers and simple decimals by base ten exponents (i.e. .3 x 103).
5th grade
Math
Guided Lesson
Evaluating Expressions: Order of Operations with Exponents
Evaluating Expressions: Order of Operations with Exponents
Worksheet
Evaluating Expressions: Order of Operations with Exponents
This worksheet introduces fifth graders to a friend who can help them remember the order of operations: PEMDAS! This acronym stands for parentheses, exponents, multiplication, division, addition and subtraction.
Math
Worksheet
Power Play: Exponents and Equations
Power Play: Exponents and Equations
Workbook
Power Play: Exponents and Equations
Students familiarize themselves with pre-algebra concepts and vocabulary — including factors, base numbers, exponents, variables, and value — in this introductory overview. This workbook offers plenty of hands-on practice so that students can gain confide
5th grade
Math
Workbook
Growing by Powers of Ten Chart
Growing by Powers of Ten Chart
Worksheet
Growing by Powers of Ten Chart
Use this worksheet to help your students see the patterns within the powers of ten.
5th grade
Math
Worksheet
Powers of Ten Patterns
Powers of Ten Patterns
Lesson Plan
Powers of Ten Patterns
Activate your students' observational skills by having them analyze a chart of the powers of ten! Use this lesson on its own or as support to the lesson Powers of 10.
5th grade
Math
Lesson Plan
Practice with Exponents: There’s More Than One Way to Write a Number!
Practice with Exponents: There’s More Than One Way to Write a Number!
Worksheet
Practice with Exponents: There’s More Than One Way to Write a Number!
This year, fifth graders will be introduced to the idea that there are many ways to write or represent numbers that are multiplied by themselves.
Math
Worksheet
Multiplying with Exponents
Multiplying with Exponents
Worksheet
Multiplying with Exponents
Help your fifth grader tackle multiplying with exponents with this algebra worksheet.
5th grade
Math
Worksheet
I Got The Power!
I Got The Power!
Lesson Plan
I Got The Power!
Do your students understand the power of 10? This lesson will allow your students to see the utility of the power of 10 in mathematics and come to a concrete conclusion of how 10 impacts the value of mathematical equations.
5th grade
Math
Lesson Plan
From Words to Symbols: Test Your Math Vocabulary (Part One)
From Words to Symbols: Test Your Math Vocabulary (Part One)
Worksheet
From Words to Symbols: Test Your Math Vocabulary (Part One)
This worksheet provides a great way to test students' knowledge of math vocabulary and math reasoning.
5th grade
Math
Worksheet
Glossary: Powers of Ten Patterns
Glossary: Powers of Ten Patterns
Worksheet
Glossary: Powers of Ten Patterns
Use this glossary with the EL Support Lesson: Powers of Ten Patterns.
5th grade
Math
Worksheet
Introduction to Exponents: What Is an Exponent?
Introduction to Exponents: What Is an Exponent?
Worksheet
Introduction to Exponents: What Is an Exponent?
This worksheet provides students with an explanation of how to simplify an expression using exponents.
5th grade
Math
Worksheet
Exponents Rules
Exponents Rules
Worksheet
Exponents Rules
Help your fifth grader tackle exponents with this introductory worksheet.
5th grade
Math
Worksheet
Exponents as Cubes
Exponents as Cubes
Worksheet
Exponents as Cubes
How are cubes related to exponents? This worksheet helps students to explore this topic by explaining that when you “cube” a number you are multiplying it by itself two times.
5th grade
Math
Worksheet
Multiplying Numbers with Exponents
Multiplying Numbers with Exponents
Worksheet
Multiplying Numbers with Exponents
Raising an exponential expression to a power isn't half as difficult as it sounds. Challenge your fifth grader to give it a try with help from this worksheet.
5th grade
Math
Worksheet
Introduction to Exponents: Exponents Make Numbers More Powerful
Introduction to Exponents: Exponents Make Numbers More Powerful
Worksheet
Introduction to Exponents: Exponents Make Numbers More Powerful
This worksheet introduces students to a key pre-algebra concept: Every time you multiply a number by another number, its value increases.
5th grade
Math
Worksheet
From Symbols to Words: Test Your Math Vocabulary (Part Two)
From Symbols to Words: Test Your Math Vocabulary (Part Two)
Worksheet
From Symbols to Words: Test Your Math Vocabulary (Part Two)
This is a great challenge for fifth graders learning how to evaluate an expression.
5th grade
Math
Worksheet
Vocabulary Cards: Powers of Ten Patterns
Vocabulary Cards: Powers of Ten Patterns
Worksheet
Vocabulary Cards: Powers of Ten Patterns
Use these vocabulary cards with the EL Support Lesson: Powers of Ten Patterns.
5th grade
Math
Worksheet
Power Play: Dividing with Exponents
Power Play: Dividing with Exponents
Worksheet
Power Play: Dividing with Exponents
Don't let your fifth grader despair--when the base numbers are the same, dividing with exponents isn't tricky at all thanks to a helpful formula.
5th grade
Math
Worksheet
Exponents Expressions
Exponents Expressions
Worksheet
Exponents Expressions
Don't let your kid be intimidated by exponents. Exponents are easy to learn with this simple step-by-step worksheet.
5th grade
Math
Worksheet
Exponents as Squares
Exponents as Squares
Worksheet
Exponents as Squares
5th grade
Math
Worksheet
Introduction to Exponents: Understanding Key Terms
Introduction to Exponents: Understanding Key Terms
Worksheet
Introduction to Exponents: Understanding Key Terms
5th grade
Math
Worksheet
Glossary: Divide by Powers of Ten
Glossary: Divide by Powers of Ten
Worksheet
Glossary: Divide by Powers of Ten
Use this glossary with the EL Support Lesson: Divide by Powers of Ten.
5th grade
Math
Worksheet
Vocabulary Cards: Divide by Powers of Ten
Vocabulary Cards: Divide by Powers of Ten
Worksheet
Vocabulary Cards: Divide by Powers of Ten
Use these vocabulary cards with the EL Support Lesson: Divide by Powers of Ten.
5th grade
Math
Worksheet
1

Exponents Resources

Exponents represent an abstract unit whose value correlates to a given number. In a way, exponents are like shorthand for multiplication; they indicate the number of times a given value will be multiplied by itself, so they pack a lot of power. Use the resources on this page to develop a clearer understanding of why and how 23=2 × 2 × 2.

Exponents 101

An exponent is a useful tool that shortens mathematical formulas used in economics, chemistry, computer science, and many other fields. Mathematical operations involving exponents contain two numbers, a base (b) and an exponent (n). The exponent indicates how many times the base must be multiplied by itself. Thus, exponentiation results depend on the values of both base and exponent; are they positive or negative, integers or fractions?

Basic exponent uses include:
  • “b squared” or “b to the power of 2” = b2 = b × b
  • “b cubed” or “b to the power of 3” = b3 = b × b × b
Interesting exponent results occur when the exponent is 0 or below:
  • b0 = b1⁄b = 1

  • b-1 = b0⁄b = 1⁄b

  • b-n = 1⁄bn
When the base is 0, no matter the exponential value, the resulting unit will always be 0:
  • 03 = 0 × 0 × 0 = 0
  • 015 = 0
It is important to understand the basics of using exponents. You will soon find them necessary to calculate area, perimeter, and volume, among other values:
  • The area of a square: A = s2
  • The area of a circle: A = πr2
  • The volume of a cube: V = s3
  • The volume of a sphere: V = 4⁄3πr3
  • The perimeter of a right triangle: P = a+b+√a2+b2
  • And more!
Practice calculating mathematical operations containing exponents by utilizing the resources on this page, and your skills will increase exponentially!