Estimating irrational numbers review

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction, meaning it cannot be written as a ratio of two integers. Its decimal representation goes on forever without repeating.

Front

What is the approximate value of √7?

Back

The approximate value of √7 is between 2.6 and 2.7.

Front

How do you estimate the square root of a number?

Back

To estimate the square root of a number, find two perfect squares between which the number lies, then use those values to approximate the square root.

Front

What is the value of √27?

Back

The value of √27 is approximately 5.2.

Front

Between which two integers does √50.9 lie?

Back

√50.9 lies between 7 and 8.

Front

What is the best approximation for √8?

Back

The best approximation for √8 is approximately 2.83.

Front

How do you round a number to the nearest tenth?

Back

To round a number to the nearest tenth, look at the hundredths place. If it is 5 or greater, round up; if it is less than 5, round down.

Front

What is the approximate value of √119?

Back

The approximate value of √119 is 10.9.

Front

What is the significance of estimating square roots in mathematics?

Back

Estimating square roots helps in simplifying calculations and understanding the size of numbers in various mathematical contexts.

Front

What is the relationship between perfect squares and their square roots?

Back

Perfect squares are numbers that are the square of an integer, and their square roots are the integers that produce those squares.