8.3.5: Number Relationships: Describe, Interpret and use quantities, relationships between quantities, representations of quantities, and number systems. Describe operations and the relationship between operations. Use strategies and procedures accurately, efficiently and flexibly. Assess the reasonableness of the results.

Number Relationships: Describe, Interpret and use quantities, relationships between quantities, representations of quantities, and number systems. Describe operations and the relationship between operations. Use strategies and procedures accurately, efficiently and flexibly. Assess the reasonableness of the results.

8.3.5.01Classify real numbers as rational or irrational. Know that when a square root of a positive integer is not an integer, then it is irrational.8.3.5.02Use rational approximations of irrational numbers to compare the size of irrational numbers and locate them approximately on a number line. Estimate the value of expressions involving irrational numbers.8.3.5.03Know and apply the properties of positive and negative integer exponents to generate equivalent numerical expressions.8.3.5.04Express approximations of very large and very small numbers using scientific notation. Understand how technology displays numbers in scientific notation. Compare numbers expressed in scientific notation using the symbols <, >, =, less than or equal to and greater than or equal to.8.3.5.05Multiply and divide numbers expressed in scientific notation. Express answers in scientific notation.8.3.5.06Solve situations in various contexts involving calculating and comparing simple and compound interest. Compound interest situations are limited to compounded annually.8.3.5.07Solve multi-step contextual situations comparing how interest rate and loan length affect the cost of credit. Calculate the total cost of repaying a loan under various rates of interest and over different periods of time.8.3.5.08Compare and contrast employment opportunities and their payment methods, including per hour, with or without tips, salary, per diem and piecework pay. Justify financial decisions with representations, including linear relationships.

1-on-1 AI tutoring aligned to 8.3.5. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →