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