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

How do you express the fraction 7/9 as a decimal?

Back

7/9 as a decimal is 0.777777..., which is a repeating decimal.

Front

What is the square root of 40 between which two consecutive whole numbers?

Back

√40 is between 6 and 7.

Front

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

Back

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

Front

List the following numbers from least to greatest: -64, 3.5, √27, 6.666...

Back

-64, 3.5, √27, 6.666... (approximately 6.6667).

Front

What is the decimal representation of 0.88888...?

Back

0.88888... is a repeating decimal that represents the fraction 8/9.

Front

What is the value of √16?

Back

√16 = 4.

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 of integers, while irrational numbers cannot be expressed as simple fractions.