Real numbers on the number line/irrational numbers

How can you approximate the value of √8?

• √8 is approximately 2.83, which lies between √4 (2) and √9 (3).

• √8 is approximately 2.5, which lies between √4 (2) and √9 (3).

• √8 is approximately 3.5, which lies between √4 (2) and √9 (3).

• √8 is approximately 2.0, which lies between √4 (2) and √9 (3).

What are irrational numbers?

• Numbers that can be expressed as a fraction of two integers.

• Numbers that have a decimal representation that is repeating and terminating.

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

• Whole numbers that are not prime.

How can you determine if a number is irrational?

• If a number can be expressed as a fraction of two integers.

• If a number has a repeating decimal.

• If a number cannot be expressed as a fraction of two integers and has a non-repeating, non-terminating decimal.

• If a number is an integer.

What is the approximate value of π?

• 3.14

• 2.71

• 3.00

• 3.50

What is the significance of the number line in understanding real numbers?

• It visually represents all real numbers, allowing for easy comparison and understanding of their relationships.

• It is used to represent only whole numbers and integers.

• It helps in solving algebraic equations without any visual aid.

• It is primarily used for plotting complex numbers.

Which is greater: √12.2 or √13?

• √12.2 is greater than √13

• √13 is greater than √12.2

• Both are equal

• √12.2 is less than √13

What is the approximate value of √2?

• 1.21

• 1.41

• 1.51

• 1.61

What is the relationship between rational and irrational numbers?

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

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

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

• Rational and irrational numbers are both types of complex numbers.

What are real numbers?

• All numbers on the number line, including rational and irrational numbers.

• Only integers and whole numbers.

• Only fractions and decimals.

• Numbers that cannot be expressed as a fraction.

What is the value of 7/3.5?

• 1

• 2

• 3

• 4