Midcontinent Research for Education and Learning
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Common Core Mathematics 68
Cluster
Know that there are numbers that are not rational, and approximate them by rational numbers.
Grade 8
8.NS.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.
8.NS.2.
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., ƒÎ2). For example, by truncating the decimal expansion of ã2, show that ã2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.