M8 RATIONAL NUMBERS

What is a rational number?

• A rational number is always an integer.

• A rational number is a number with an infinite decimal representation.

• A rational number is a number that cannot be expressed as a fraction.

• A rational number is a number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Provide two examples of rational numbers.

• 2, 3

• 5/2, 7/3

• 1/2, -3/4

• -1, 0

What is the definition of an irrational number?

• An irrational number is a whole number that can be divided evenly.

• An irrational number is a number that can be expressed as a repeating decimal.

• An irrational number is a real number that cannot be expressed as a fraction of two integers.

• An irrational number is a complex number with a real part and an imaginary part.

Give an example of an irrational number.

• √2

• 0

• -1

• 3.14

How can you identify a rational number?

• A rational number is always a whole number.

• A rational number is a number that can be expressed as a fraction of two integers.

• A rational number is a number that cannot be expressed as a fraction.

• A rational number cannot be negative.

Is the number 1.5 a rational number?

• No, 1.5 cannot be expressed as a fraction.

• Np, 1.5 is a whole number.

• Yes, 1.5 is a rational number.

• No, 1.5 is an irrational number.

What is the decimal representation of the rational number 1/4?

• 0.25

• 0.5

• 1.25

• 0.75

Can a negative number be a rational number?

• Yes, but -2 is not a rational number.

• Yes, a negative number can be a rational number. -1 is a rational number.

• Negative numbers are always irrational.

• No, negative numbers cannot be rational numbers.

Explain why the square root of 2 is considered irrational.

• The square root of 2 is considered irrational because it cannot be expressed as a fraction of two integers.

• The square root of 2 is equal to 2.

• The square root of 2 is a whole number.

• The square root of 2 can be written as 1.5.

Is 0.333... a rational number?

• Yes, 0.333... is a rational number.

• Yes, 0.333... is an integer.

• No, 0.333... cannot be expressed as a fraction.

• No, 0.333... is an irrational number.