24-25 Midterm Review Classifying Numbers

Front

What is a rational number?

Back

A rational number is a number that can be expressed as a fraction, where both the numerator and the denominator are integers.

Front

Which of the following numbers is a whole number? 3, -2, 0.5, -1.2

Back

3 is a whole number.

Front

Is -4 a whole number? Why or why not?

Back

No, -4 is not a whole number because whole numbers are non-negative integers.

Front

What defines a natural number?

Back

Natural numbers are the set of positive integers starting from 1 (1, 2, 3, ...).

Front

Is 0 a natural number?

Back

No, 0 is not considered a natural number.

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 5.676767... a rational number? Why or why not?

Back

Yes, 5.676767... is a rational number because it is a repeating decimal.

Front

What is an example of an irrational number?

Back

Front

Can a negative number be a whole number?

Back

No, whole numbers are always non-negative.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits indefinitely.