Real 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 a rational number: √110, √324, √65, √80?

Back

√324 is a rational number because it equals 18, which is an integer.

Front

What is an example of an irrational number?

Back

An example of an irrational number is π (pi), which cannot be expressed as a fraction of two integers.

Front

Which of the following is rational: .211232112421125..., π, √25, √12?

Back

√25 is rational because it equals 5, which is an integer.

Front

Identify an irrational number from the following: √8, ¾, 2, -1.325.

Back

√8 is irrational because it cannot be expressed as a fraction of two integers.

Front

What is the approximate value of √20?

Back

√20 is approximately 4.47, which lies between the integers 4 and 5.

Front

How do you round √119 to the nearest tenth?

Back

√119 is approximately 10.9087, which rounds to 10.9 when rounded to the nearest tenth.

Front

What is the square root of a perfect square?

Back

The square root of a perfect square is an integer. For example, √25 = 5.

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 such.

Front

Give an example of a rational number between 0 and 1.

Back

An example of a rational number between 0 and 1 is 1/2.