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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
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Grade 8 · Unit 1~70 min3 topics · 3 videos

Real Numbers & Exponents

Work with very large and very small numbers. You'll apply the laws of exponents, write numbers in scientific notation, evaluate square and cube roots, and tell rational numbers apart from irrational ones.

Start the first topic →See all topics

Unit menu

Unit 1: Real Numbers & Exponents

Your progress

0 of 3 done0%

On this page

  • Topics
  • Objectives & vocabulary
  • Extra practice

Unit menu

Unit 1: Real Numbers & Exponents

Your progress

0 of 3 done0%

On this page

  • Topics
  • Objectives & vocabulary
  • Extra practice
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Work through these

Topics in this unit

Each topic is a short page: read the walkthrough, watch the video, try the practice, then take a quick quiz. Go in order or jump to what you need.

1
Properties of Exponents

Use the product, quotient, and power rules to simplify expressions.

  • 1 video
  • Practice
  • 3-question quiz
  • ~24 min
2
Scientific Notation

Write huge and tiny numbers compactly using powers of 10.

  • 1 video
  • Practice
  • 2-question quiz
  • ~22 min
3
Roots & Irrational Numbers

Evaluate square and cube roots and tell rational from irrational numbers.

  • 1 video
  • Practice
  • 2-question quiz
  • ~22 min
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Goals

Learning objectives

By the end of this unit, you should be able to:

  • ✓Apply the properties of integer exponents to simplify expressions.
  • ✓Write and interpret numbers in scientific notation.
  • ✓Evaluate square roots and cube roots of perfect squares and cubes.
  • ✓Classify numbers as rational or irrational.

Key vocabulary

Exponent
The small number that tells how many times to multiply the base by itself.
Scientific notation
A number written as a value between 1 and 10 times a power of 10.
Square root
A number that, multiplied by itself, gives the original number.
Irrational number
A number that cannot be written as a fraction; its decimal never ends or repeats.
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
More practice

External resources

Hand-picked links from Khan Academy and trusted worksheet libraries.

Khan Academy

Numbers & operations practice

Open resource
Math Worksheets 4 Kids

Exponents worksheets

Open resource
Math Worksheets 4 Kids

Scientific notation worksheets

Open resource
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Back toGrade 8 library→Next up · Unit 2Linear Equations