Irrational Numbers - Real numbers that cannot be expressed exactly as a ratio of two
integers.
Must use symbols or be approximated
Irrational numbers commonly written with symbols - π, e, \\\sqrt2
Exponential notation - Show repeated multiplication.
2*2*2*2= 2⁴
Any number raised to the 0 power equals - 1
Magnitude of exponential notation - Exponents can be positive or negative, or in fraction
form.
Positive exponential notation magnitude-Answer: Multiplies the number by itself as many
times as exponent shows: 2*2*2*2=2 ⁴ =16
Makes fractions smaller: (1/4)*(1/4)*(1/4) =1/64
Makes absolute value of integers bigger: (-5) ²= -5*-5 = 25
Negative exponential notation magnitude-Answer: Multiplies the number by its inverse
fraction as many times as the exponent shows:2 -4 =(1/2)*(1/2)*(1/2)*(1/2)=1/16
Makes fractions bigger: (1/4) -3 =4*4*4 =64
Makes absolute value of integers smaller: -5 -2=(-1/5)*(-1/5)= 1/25
fractional exponential notation magnitude - Answer shows the root that is being found
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller Easton. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $9.99. You're not tied to anything after your purchase.