The Real Number System and Decimal Representations

9 lessons

Goal

Classify numbers across the real number system and convert fluently between repeating decimals and rational fractions.

The Real Number System: Bringing Rational and Irrational Together

9 lessons

0 of 9 done

The Real Number System: Bringing Rational and Irrational TogetherUp next
Decimal Representations of Rational and Irrational NumbersPremiumNot started yet
Converting Fractions to Terminating DecimalsNot started yet
Converting Fractions to Repeating Decimals Using Long DivisionNot started yet
Converting Simple Repeating Decimals to FractionsNot started yet
Converting Non-Terminating Recurring Decimals to FractionsNot started yet
Analyzing Infinite Processes in Repeating DecimalsNot started yet
Classifying Numbers as Rational or IrrationalNot started yet
Visualizing Real Number Subsets with Venn DiagramsNot started yet

Standards Covered

Curriculum Framework

9 lessons

Classify numbers across the real number system and convert fluently between repeating decimals and rational fractions.

7 lessons

Estimate the values of irrational numbers with rational bounds and plot and order real numbers on the number line.

7 lessons

Execute four operations across all real numbers using algebraic properties, mental math, algorithms, and digital tools.

7 lessons

Apply the product, quotient, power, zero, and negative exponent rules to simplify numerical and algebraic exponential expressions.

8 lessons

Convert, calculate, and solve real-world problems using scientific notation across macroscopic and microscopic magnitudes.

11 lessons

Evaluate perfect roots, simplify radical surds, and solve quadratic and cubic power equations of the form x² = p and x³ = p.