Understanding Rational and Irrational Numbers

How can you express a whole number as a rational number?

• By adding an irrational number to it

• By dividing it by zero

• By writing it as a ratio of two integers

• By converting it into a decimal

Can whole numbers be considered rational numbers?

• Yes, because they can be expressed as a fraction with 1 as the denominator

• No, because they do not include a fractional part

• Yes, but only if they are positive

• No, because they are not written as ratios

What is a rational number?

• A number that cannot be expressed as a fraction

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

• A number that only includes whole numbers

• A number that includes decimals that do not repeat

What is an example of an irrational number?

• A terminating decimal

• The square root of a perfect square

• A simple fraction

• Pi (π)

What makes a number irrational?

• It cannot be expressed as a fraction of two integers

• It is a perfect square

• It is a whole number

• It can be expressed as a fraction

Is the sum of two rational numbers always rational?

• No, it cannot be determined

• No, it becomes an irrational number

• Yes, but only if the numbers are positive

• Yes, it remains a rational number

What is the result of multiplying two rational numbers?

• An irrational number

• A whole number

• Cannot be determined without specific numbers

• A rational number

What does it mean if a number is both rational and irrational?

• It means the number is a perfect square

• It is possible for some special numbers

• It is a contradiction; a number cannot be both

• It means the number is a whole number

What happens when you add a rational number to an irrational number?

• The result is always a rational number

• The result is always an irrational number

• The result is always a whole number

• The result cannot be determined

Is the product of a rational number and an irrational number rational or irrational?

• Cannot be determined

• Whole number

• Irrational

• Rational