U4 CW #3: Rational and Irrational 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

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction. It cannot be written as a ratio of two integers.

Front

Is -√4 a rational number?

Back

Yes, -√4 is a rational number because it equals -2, which can be expressed as a fraction (-2/1).

Front

Is 0.141414141414... a rational number?

Back

Yes, 0.141414141414... is a rational number because it can be expressed as the fraction 14/99.

Front

What types of numbers are included in rational numbers?

Back

Rational numbers include integers, fractions, terminating decimals, and repeating decimals.

Front

Which of the following is an irrational number: 9.6, √45, 3/8, 3.4 x 10⁵?

Back

√45 is an irrational number because it cannot be expressed as a fraction.

Front

Is √25 a rational number?

Back

Yes, √25 is a rational number because it equals 5, which can be expressed as a fraction (5/1).

Front

What is an example of a terminating decimal?

Back

An example of a terminating decimal is 0.75, which can be expressed as the fraction 3/4.

Front

What is an example of a repeating decimal?

Back

An example of a repeating decimal is 0.333..., which can be expressed as the fraction 1/3.

Front

Can a whole number be a rational number?

Back

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