Exponents, Scientific Notation, and Radicals
1. Order of operations:
Solve using the order of operations. Be sure to show each step to receive full credit.
(–16 ÷ 2) × 4 – 3 + 82=
Define the product rule and the quotient rule in your own words.
The product rule is used when differentiating two functions that are being multiplied together.
The quotient rule is actually the product rule in disguise and is used when differentiating a fraction.
Using the product and quotient rule, solve the following: a. Product rule exercise: * x11* x5=X16 * x–6 * x12 Negative Exponent Rule is: a-n=1an * 1x6*x12=1*x6 * =x6 b. Quotient rule exercise: * x30 x10 * Reduce the expression x30 x10 by removing a factor x10 from the numerator and denominator. * =x20 * x30 x–10 * Reduce the expression x30 x-10 by removing a factor x-10 from the numerator and denominator. * =x40
3. Scientific Notation:
Explain the advantages of scientific notation. How is it used today?
Scientific notation is a way of writing numbers that are too big or too small to be conveniently written in standard form. Scientific notation has a number of useful properties and is commonly used in calculators and by scientists, mathematicians and engineers.
Evaluate the following: * 121 + 4 * 11*11 + 4 * 11 + 4 * 11 + 2*2=11+2 * 11+2=13 * 121 + 4 * 125 * 5*5*5 * 5*5=55=11.1803 5. Short Answer:
Explain in a few sentences why the answers to the above problems were