Real Numbers & Exponents
Overview
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.
Your progress
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About this unit
How to work through it
- Review exponent rules with integer exponents before scientific notation.
- Approximate radicals when exact form isn't required.
- Scientific notation: move the decimal, then adjust the exponent.
- Calculator use is fine after you set up the expression by hand.
- Master Topic 1 rules before moving to roots and notation.
You should be able to
- Apply laws of exponents to simplify expressions.
- Estimate and compare irrational numbers.
- Convert between standard form and scientific notation.
- Solve problems involving very large or very small quantities.
Key words
- 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.
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