Understanding Rational and Irrational Numbers

What is the primary difference between rational and irrational numbers?

• Rational numbers can be expressed as fractions, while irrational numbers cannot.

• Rational numbers are larger than irrational numbers.

• Rational numbers are always positive, while irrational numbers are negative.

• Rational numbers are whole numbers, while irrational numbers are decimals.

Which of the following is an example of a rational number?

• Golden ratio

• 3/4

• Pi (π)

• Square root of 2

How can you express an integer as a rational number?

• By dividing it by one

• By multiplying it by two

• By subtracting one from it

• By adding zero to it

Which of the following numbers is irrational?

• 0.75

• 2.5

• 1/3

• Square root of 7

Why can't irrational numbers be expressed as fractions?

• They are too large.

• They have non-repeating, non-terminating decimals.

• They are negative.

• They are not real numbers.

Which of the following is a well-known irrational number?

• Pi (π)

• 1/2

• 4

• 0.333...

What is the approximate value of the Golden Ratio?

• 1.618

• 3.142

• 2.718

• 1.414

Which of the following statements is true about irrational numbers?

• They are always negative.

• They have a repeating decimal pattern.

• They cannot be precisely represented as a fraction.

• They can be written as a simple fraction.

What is the significance of understanding rational and irrational numbers?

• It aids in classifying numbers and understanding their properties.

• It is essential for understanding calculus.

• It helps in solving algebraic equations.

• It is only important for theoretical mathematics.

Which of the following is NOT an example of an irrational number?

• Square root of 9

• Pi (π)

• Square root of 5

• Euler's number (e)