Estimating and Comparing 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 √12?

Back

3.5

Front

How do you estimate the square root of a number?

Back

To estimate the square root, find two perfect squares between which the number lies and then approximate the value.

Front

What is the area of a square?

Back

The area of a square is calculated by squaring the length of one of its sides (Area = side²).

Front

If the area of a square is 117 square meters, what is the approximate length of one side?

Back

10.8 m

Front

Between which two integers does √44 lie?

Back

6 and 7

Front

How can you determine the approximate value of a square root?

Back

You can determine the approximate value by finding the nearest perfect squares and estimating between them.

Front

What is the relationship between a square's area and its side length?

Back

The side length is the square root of the area.

Front

If a number is between -9 and -10, what can you say about its value?

Back

The number is greater than -10 but less than -9.

Front

What is the approximate length of one side of a square with an area of 20 square meters?

Back

Approximately 4.5 m.