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Standard: 8.NS.1

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Intermediate, 8th Grade

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.

Standard: 8.NS.2

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Intermediate, 8th Grade

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.