Compare and Order Real Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction or ratio of two integers, where 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 √16 a rational or irrational number?

Back

Rational, because √16 = 4, which is an integer.

Front

Is √50 a rational or irrational number?

Back

Irrational, because √50 cannot be simplified to a whole number or a fraction.

Front

What is a repeating decimal?

Back

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

Front

Is 4.7777... a rational or irrational number?

Back

Rational, because it can be expressed as a fraction (e.g., 4 + 7/90).

Front

What is a terminating decimal?

Back

A terminating decimal is a decimal that has a finite number of digits after the decimal point.

Front

Is 2.48 a rational or irrational number?

Back

Rational, because it can be expressed as a fraction (e.g., 248/100).

Front

Which is greater: √52 or 6.9?

Back

√52 is greater than 6.9.

Front

What is the square root of 25?

Back

The square root of 25 is 5, which is a rational number.