Classify Real Numbers

Front

What are real numbers?

Back

Real numbers include all the numbers on the number line, including rational numbers (like integers and fractions) and irrational numbers (like √2 and π).

Front

Define rational numbers.

Back

Tags

CCSS.5.NBT.A.2

Front

What are irrational numbers?

Back

Irrational numbers cannot be expressed as a simple fraction. Their decimal representation goes on forever without repeating (e.g., π, √2).

Tags

CCSS.8.NS.A.1

Front

Classify the number ⅚.

Back

Real and rational.

Front

Which of the following is rational: π, √25, √12?

Back

√25 is rational because it equals 5.

Front

Identify an irrational expression: 13.4 + √16, 9 × √18, -6.27 + 1⅔, -√64 × 4.5.

Back

9 × √18 is irrational.

Tags

CCSS.HSN.RN.B.3

Front

Classify the number √10.

Back

Real and irrational.

Front

Which number is NOT rational: -√49, -4⅖, √18, 12.4568?

Back

√18 is NOT rational.

Front

What is the decimal representation of a rational number?

Back

A rational number has a decimal representation that either terminates (e.g., 0.5) or repeats (e.g., 0.333...).

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

Give an example of an irrational number.

Back

An example of an irrational number is π (approximately 3.14159).

Tags

CCSS.8.NS.A.1