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 √50.9?

Back

√50.9 is approximately 7.1, as it lies between √49 (7) and √64 (8).

Front

What is the value of π (pi) approximately?

Back

π is approximately 3.14.

Front

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

Back

The perimeter of a square is calculated as P = 4 × side length. For a side length of 6 m, P = 4 × 6 = 24 m.

Front

How do you find the square root of a number?

Back

To find the square root of a number, you determine which number multiplied by itself gives the original number. For example, √16 = 4 because 4 × 4 = 16.

Front

What is the approximate value of √8?

Back

√8 is approximately 2.83.

Front

How do you represent irrational numbers on a number line?

Back

Irrational numbers can be represented on a number line as points that do not correspond to any fraction or repeating decimal.

Front

What is the best approximation of √2?

Back

√2 is approximately 1.41.

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.