Unit 1 · 4 lessons
Number Sets and Powers
The families of numbers from natural to real, how different cultures built the number ideas you use every day, and how powers, exponent laws and scientific notation handle very large and very small numbers.
- 46 practice questions
- 32 flashcards
Lessons
- 1Number Sets: Natural to RealNumbers come in families that fit inside each other: natural, whole, integers, rational and real, with the irrational numbers filling the gaps. Learn to classify any number, and see why there is always another number in between and what it means to get closer and closer to a limit.11 questions
- 2Numbers Across Cultures and TimeThe digits 0 to 9, place value, zero, negative numbers and the golden ratio were built over thousands of years by many cultures. Learn how base 60, base 20 and base 10 systems work, how zero and negatives became numbers, and where these ideas still show up today.11 questions
- 3Powers, Zero and Negative Exponents, Scientific NotationA power is a short way to write repeated multiplication. Learn to evaluate powers (including negative bases), discover from a pattern why a zero exponent gives 1 and a negative exponent gives a fraction, and write very large and very small numbers in scientific notation.12 questions
- 4The Exponent LawsMultiplying, dividing and raising powers follow three shortcuts you can discover by writing out the factors: add exponents, subtract exponents, multiply exponents. Learn the product, quotient and power laws, the power of a product, and how to simplify numeric and algebraic expressions without the classic errors.12 questions