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Mathematics · Grade 8

Exponents and Scientific Notation

Learners explain the properties of integer exponents by counting factors, extend them to zero and negative exponents with patterns and the quotient rule, and then use powers of ten to write very large and very small quantities in scientific notation. They compare magnitudes by asking how many times as much, and multiply, divide, add and subtract in scientific notation, including calculator E-notation and sensible units.

  • 4 lessons
  • About 90 minutes
  • Exponents and scientific notation check: 10 questions
  • Ways to answer: fill in the blanks, choose an answer, type a fraction, match pairs, type a number and place on a number line
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What learners will discover

  • Use the properties of exponents (product, quotient, power of a power, power of a product) to write equivalent numerical expressions.
  • Explain and use zero and negative integer exponents, such as 5^0^ = 1 and 2^−3^ = 1/8.
  • Write very large and very small quantities in scientific notation and compare their magnitudes by finding how many times as much one is than another.
  • Multiply, divide, add and subtract numbers in scientific notation, interpret calculator E-notation and choose sensible units.

Lessons

  1. Properties of exponents 9 steps5 practiceabout 23 min
  2. Zero and negative exponents 9 steps5 practiceabout 22 min
  3. Scientific notation and comparing sizes 9 steps5 practiceabout 22 min
  4. Calculating with scientific notation 9 steps5 practiceabout 23 min
  5. Exponents and scientific notation check 10 questions at the end

Keep exploring

Games to practice with

  • Number-Line HopHelp the frog hop to the right number — from counting to negative fractions.
  • Algebra BalanceKeep the scale level and the equation true, step by step.
  • Function FactoryFeed the machine, crack its rule and predict what comes out.

More 8th grade math

Guide for grown-ups