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 can you approximate the value of √8?

Back

√8 is approximately 2.83, which can be estimated by recognizing that it lies between √4 (2) and √9 (3).

Front

What is the perimeter of a square with side length 4.5 m?

Back

The perimeter of a square is calculated as P = 4 × side length. Therefore, P = 4 × 4.5 m = 18 m.

Front

Which is greater: √12.2 or √13?

Back

√13 is greater than √12.2 because 13 is greater than 12.2.

Front

What is the approximate value of π?

Back

The approximate value of π is 3.14.

Front

How do you find the length of one side of a square if you know the perimeter?

Back

Divide the perimeter by 4. For example, if the perimeter is 24 m, each side length is 24 m / 4 = 6 m.

Front

What is the value of 7/3.5?

Back

7/3.5 simplifies to 2, which is an approximation of point M.

Front

How do you represent √149 on a number line?

Back

√149 is approximately 12.21, which can be located between 12 and 13 on the number line.

Front

What is the relationship between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions, while irrational numbers cannot. Together, they make up the set of real numbers.