# Irrational Numbers

Related Topics:
Common Core for Grade 8
Common Core for Mathematics
More Math Lessons for Grade 8

Examples, solutions, videos and lessons to help Grade 8 students 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.

Common Core: 8.NS.1

### Suggested Learning Targets

• I can define rational and irrational numbers.
• I can show that the decimal expansion of rational numbers repeats eventually.
• I can convert a decimal expansion which repeats eventually into a rational number
• I can show informally that every number has a decimal expansion

Understand and apply the definition of rational numbers - 8.NS.1

Rational and Irrational Numbers (8.NS.1)
A rational number can be represented by a ratio (fraction) of integers. It has an exact place on the number line.
An irrational number can not be represented by a ratio (fraction) of integers. It does not have an exact place on the number line. It is not a repeating decimal.

8NS1 Rational and Irrational Numbers
Know that there are numbers that are not rational, and approximate them by rational numbers. Ordering Rational Numbers Rational and Irrational Numbers 8.NS.1 Decimals to Fractions

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