Categorizing Numbers

Front

What is a fraction?

Back

A fraction is a numerical quantity that is not a whole number, representing a part of a whole, expressed as 'a/b' where 'a' is the numerator and 'b' is the denominator.

Front

Are all fractions considered integers?

Back

No, not all fractions are integers. An integer is a whole number that can be positive, negative, or zero, while fractions represent parts of a whole.

Front

What defines an integer?

Back

An integer is a whole number that can be positive, negative, or zero, and does not include fractions or decimals.

Front

Are all negative numbers integers?

Back

No, not all negative numbers are integers. For example, -1/2 is a negative fraction, not an integer.

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

Are all integers 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 difference between rational and irrational numbers?

Back

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

Front

Can a number be both rational and irrational?

Back

No, a number cannot be both rational and irrational. They are mutually exclusive categories.

Front

What is an example of a rational number?

Back

An example of a rational number is 3/4, which can be expressed as a fraction of two integers.

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 of two integers.