Real numbers on the number line/irrational numbers

Front

What are real numbers?

Back

Real numbers include all the numbers on the number line, including rational numbers (like integers and fractions) and irrational numbers (like √2 and π).

Front

What are irrational numbers?

Back

Irrational numbers are numbers that cannot be expressed as a fraction of two integers. Their decimal representation is non-repeating and non-terminating.

Front

How do you find the length of a side of a square given its area?

Back

To find the length of a side of a square, take the square root of the area. For example, if the area is 100 square feet, the side length is √100 = 10 feet.

Front

What is the formula for the perimeter of a square?

Back

The perimeter P of a square is given by the formula P = 4s, where s is the length of one side.

Front

If a square has an area of 64 square meters, what is the length of one side?

Back

The length of one side is √64 = 8 meters.

Front

What is the approximate value of √149?

Back

The approximate value of √149 is about 12.21.

Front

How do you represent a point on the number line?

Back

A point on the number line can be represented by a real number, which can be rational or irrational.

Front

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

Back

The area of a square is equal to the side length squared (A = s²).

Front

If the side length of a square is 4.5 m, what is its area?

Back

The area is A = 4.5 m × 4.5 m = 20.25 square meters.

Front

What is the perimeter of a square with a side length of 6 m?

Back

The perimeter is P = 4 × 6 m = 24 m.