Classifying Ordering and Comparing 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.

Front

Which of the following is NOT a rational number: 1/2, -3, √2?

Back

√2 is NOT a rational number because it cannot be expressed as a fraction of two integers.

Front

What is the difference between whole numbers and integers?

Back

Whole numbers are non-negative numbers including zero (0, 1, 2, 3, ...), while integers include all whole numbers and their negative counterparts (..., -3, -2, -1, 0, 1, 2, 3, ...).

Front

Is -4 a whole number?

Back

No, -4 is not a whole number; it is an integer.

Front

What is the classification of the number 0?

Back

0 is classified as a whole number, an integer, and a rational number.

Front

True or False: Every integer is a rational number.

Back

True. Every integer can be expressed as a fraction with a denominator of 1.

Front

What is an example of a number that is an integer but not a whole number?

Back

-1 is an example of an integer that is not a whole number.

Front

How can you determine if a number is an integer?

Back

A number is an integer if it is a whole number or a negative whole number, without any fractional or decimal part.

Front

What is the relationship between whole numbers and rational numbers?

Back

All whole numbers are rational numbers because they can be expressed as a fraction with a denominator of 1.

Front

What is the error in classifying -2 as a whole number?

Back

The error is that -2 is not a whole number; whole numbers are non-negative.