Real Numbers

Front

What is a real number?

Back

A real number is any number that can be found on the number line, including both rational and irrational numbers.

Front

What is the square root of a number?

Back

The square root of a number is a value that, when multiplied by itself, gives the original number.

Front

Estimate the square root of 63.

Back

Approximately 7.9.

Front

Between which two consecutive whole numbers is √40?

Back

Between 6 and 7.

Front

Round √119 to the nearest tenth.

Back

10.9.

Front

How do you convert a repeating decimal to a fraction?

Back

Set the repeating decimal equal to a variable, multiply to eliminate the decimal, and solve for the variable.

Front

Convert 0.444... to a fraction.

Back

4/9.

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 denominator are integers.

Front

Which of the following is a rational number: √110, √324, √65, √80?

Back

√324 is a rational number because it equals 18.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction, and its decimal representation goes on forever without repeating.