Classifying Real Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not zero. It can be positive, negative, or zero.

Tags

CCSS.5.NBT.A.2

Front

Is 5.676677666777... a rational number?

Back

No, because a pattern is not a repeating decimal.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

What defines an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but it cannot have a fractional or decimal part.

Tags

CCSS.8.NS.A.1

Front

Is -5.5 an integer?

Back

No, because integers do not have decimals.

Front

Can rational numbers be decimals?

Back

Yes, rational numbers can be expressed as decimals, but they either terminate or repeat.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

What is the difference between a rational number and an irrational number?

Back

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as a simple fraction and have non-repeating, non-terminating decimal expansions.

Tags

CCSS.8.NS.A.1

Front

Give an example of a rational number.

Back

Examples include 1/2, -3, 0.75, and 2.5.

Front

What is an example of an irrational number?

Back

Examples include √2, π (pi), and e (Euler's number).

Tags

CCSS.8.NS.A.1

Front

What is a whole number?

Back

Whole numbers are non-negative integers, including zero (0, 1, 2, 3, ...).

Front

Can a whole number be negative?

Back

No, whole numbers cannot be negative; they are always zero or positive.

Tags

CCSS.8.NS.A.1