8.NS.A.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
8.NS.A.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
8.EE.A.2 Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
Topic A: Exponential Notation and Properties of Integer Exponents (8.EE.A.1)
Lesson 1: Exponential Notation
Lesson 2: Multiplication of Numbers in Exponential Form PRACTICE PROBLEMS
Lesson 3: Numbers in Exponential Form Raised to a Power PRACTICE PROBLEMS
Lesson 4: Numbers Raised to the Zeroth Power
Lesson 5: Negative Exponents and the Laws of Exponents PRACTICE PROBLEMS
Lesson 6: Proofs of Laws of Exponents
Topic B: Magnitude and Scientific Notation (8.EE.A.3, 8.EE.A.4)
Lesson 7: Magnitude
Lesson 8: Estimating Quantities
Lesson 9: Scientific Notation PRACTICE PROBLEMS
Lesson 10: Operations with Numbers in Scientific Notation PRACTICE PROBLEMS
Lesson 11: Efficacy of Scientific Notation
Lesson 12: Choice of Unit
Lesson 13: Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using Technology
Order of Magnitude (An order of magnitude is an approximate measure of the size of a number, equal to the logarithm (base 10) rounded to a whole number. For example, the order of magnitude of 1500 is 3, because 1500 = 1.5 × 103.)
Scientific Notation (Scientific notation (also referred to as scientific form, standard form or standard index form) is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians and engineers, in part because it can simplify certain arithmetic operations. On scientific calculators it is known as "SCI" display mode. ) In scientific notation all numbers are written in the form m × 10n (m times ten raised to the power of n), where the exponent n is an integer, and the coefficient m is any real number.