|Common Core Sheets||
Next Standard ► 8ns2
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.
|The Number System|
|Know that there are numbers that are not rational, and approximate them by rational numbers.|
|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.|
(Hover to Enlarge)
|Identifying Rational and Irrational Numbers 8ns1
Each worksheet has 20 problems determining if a number is rational or irrational.Create New Sheet
|Converting Repeating Decimals to Fractions 8ns1
Each worksheet has 10 problems converting a repeating decimal to a fraction.Create New Sheet
Include standard on Sheet
Do not include modified sheet