Lesson 12-6.2a Classify rational numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Tags

CCSS.5.NBT.A.2

Front

How can you identify a rational number?

Back

A rational number can be identified if it can be written in the form a/b, where a and b are integers and b ≠ 0.

Tags

CCSS.5.NBT.A.2

Front

What are examples of rational numbers?

Back

Examples of rational numbers include 1/2, -3, 0.75, and 4 (which can be written as 4/1).

Front

What is the difference between rational and irrational numbers?

Back

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

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates (like 0.5) or repeats (like 0.333...).

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

How do you classify numbers as rational or irrational?

Back

To classify a number, check if it can be expressed as a fraction of two integers. If yes, it is rational; if no, it is irrational.

Front

What is an example of an irrational number?

Back

An example of an irrational number is √2, which cannot be expressed as a fraction.

Tags

CCSS.8.NS.A.1

Front

Can all integers be classified as rational numbers?

Back

Yes, all integers are rational numbers because they can be expressed as a fraction with a denominator of 1.

Front

What is the significance of the number zero in rational numbers?

Back

Zero is a rational number because it can be expressed as 0/1.

Tags

CCSS.HSN.RN.B.3

Front

How do you convert a repeating decimal to a fraction?

Back

To convert a repeating decimal to a fraction, set the decimal equal to a variable, multiply to shift the decimal point, and then solve for the variable.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1