Approximating Irrational Numbers

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 square root of a number?

Back

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3, because 3 x 3 = 9.

Front

How do you approximate the square root of a non-perfect square?

Back

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. The formula is: Area = side × side or Area = side².

Front

If the area of a square is 100 cm², what is the length of one side?

Back

Front

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

Back

The area of a square is directly related to the square of its side length. If you know the area, you can find the side length by taking the square root of the area.

Front

What is the square root of 324?

Back

The square root of 324 is 18, because 18 x 18 = 324.

Front

How can you determine if a number is a perfect square?

Back

Front

Back

Front

What are consecutive integers?

Back

Consecutive integers are integers that follow each other in order, without any gaps. For example, 2 and 3, or 5 and 6.