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

What is the square root of a number?

Back

The square root of a number is a value that, when multiplied by itself, gives the original number.

Front

Which best represents the length of one side of a square with an area of 20 square meters?

Back

Approximately 4.5 m.

Front

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

Back

The area of a square is equal to the length of one side squared (Area = side²).

Front

Which number has a square root that could be estimated at 8.9?

Back

80

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 average their square roots.

Front

What is the approximate value of √17?

Back

Approximately 4.1.

Front

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

Back

Approximately 10.8 m.

Front

What is the significance of estimating irrational numbers?

Back

Estimating irrational numbers helps in making quick calculations and comparisons without needing exact values.