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STANDARDS

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US-LA

Math

Louisiana Math

Grade 8: The Number System

8.NS.A

Know that there are numbers that are not rational, and approximate them by rational numbers.

8.NS.A.1

Fully covered
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. Convert a decimal expansion that repeats eventually into a rational number by analyzing repeating patterns.

8.NS.A.2

Fully covered
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., π^2). 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 to the hundredths place.