1.3 Compare and Order 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 x is a value that, when multiplied by itself, gives x. For example, √9 = 3 because 3 * 3 = 9.

Front

How do you compare two real numbers?

Back

To compare two real numbers, determine their positions on the number line. The number further to the right is greater.

Front

What is the approximate value of √12?

Back

√12 is approximately 3.46.

Front

Which is greater: √24 or √30?

Back

√30 is greater than √24 because 30 is greater than 24.

Front

How do you order the numbers √8, √12, and √24 from least to greatest?

Back

The order from least to greatest is √8, √12, √24.

Front

What is the value of √149?

Back

√149 is approximately 12.21.

Front

If point B represents √35, what is its approximate value?

Back

√35 is approximately 5.92.

Front

What is the value of √165?

Back

√165 is approximately 12.85.

Front

How can you represent √13 on a number line?

Back

√13 is approximately 3.61, so it would be placed between 3 and 4 on the number line.