Classifying Numbers Flashcard

Front

What are integers?

Back

Integers are whole numbers that can be positive, negative, or zero, such as -3, -2, -1, 0, 1, 2, 3.

Front

Where do negative numbers like -6 belong in number classification?

Back

Negative numbers like -6 belong in the integer circle because they are integers and also rational numbers.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction, where both the numerator and the denominator are integers and the denominator is not zero.

Front

Can a rational number be a whole number?

Back

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

Front

Is the number 0 a rational number?

Back

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

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 fractions and have non-repeating, non-terminating decimal expansions.

Front

Is 3.74 a rational number?

Back

Yes, 3.74 is a rational number because it can be expressed as the fraction 374/100.

Front

What are examples of irrational numbers?

Back

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

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 is not zero.

Front

What is the set of rational numbers?

Back

The set of rational numbers includes all integers, fractions, and terminating or repeating decimals.