Unit 2: Representations of Numbers

 

Common Core Standards:

  • 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.1
  • Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line, and estimate the value of expressions.   8.NS.2
  • Know and apply the properties of integer exponents to generate equivalent numerical expressions.   8.EE.1
  • 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.   8.EE.2 
  • Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large and very small quantities, and to express how many times as much one is than the other.   8.EE.3
  • Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used.   8.EE.4

2008 Math Standards:

  • Compare and order real numbers including very large and small integers, and decimals and fractions close to zero.   M08-S1C1-01
  • Model and solve problems involving absolute value.   M08-S1C1-04
  • Describe the effect of multiplying and dividing a rational number by a number less than zero, a number between zero and one, a number greater than one, and one.   M08-S1C2-02