9B: Estimating Irrational Numbers

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

What is the approximate value of √24?

Back

√24 is approximately 4.9.

Front

Between which two whole numbers does √30 fall?

Back

√30 falls between 5 and 6.

Front

How do you estimate the value of a square root?

Back

To estimate the value of a square root, find the two perfect squares it lies between and then approximate its value.

Front

What is the value of √35?

Back

√35 is approximately 5.9.

Front

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

Back

-64, 3.5, √27 (approximately 5.2), 6.666... (approximately 6.67).

Front

What is the approximate value of √98?

Back

√98 is approximately 9.9.

Front

Between which two whole numbers does √20 fall?

Back

√20 falls between 4 and 5.

Front

What is the value of √8?

Back

√8 is approximately 2.83.

Front

How can you determine the position of √x on a number line?

Back

To determine the position of √x on a number line, estimate its value and find the closest whole numbers.