Understanding Irrational Numbers

The video tutorial explains the concept of irrational numbers, which cannot be expressed as a ratio of two integers. It discusses how these numbers can still be represented as decimals and approximated. The tutorial provides an example of approximating an irrational number between two known values, illustrating that while irrational numbers cannot be perfectly expressed as fractions, they can be understood and used in decimal form.

What is the defining characteristic of an irrational number?

• It is always a negative number.

• It is always a whole number.

• It cannot be expressed as a ratio.

• It can be expressed as a ratio.

Can irrational numbers be represented as decimals?

• No, they cannot be represented as decimals.

• No, they can only be represented as fractions.

• Yes, but only as whole numbers.

• Yes, they can be represented as decimals.

What is an example of an irrational number?

• 3/4

• 5

• 0.5

• √2

How can we approximate the decimal value of an irrational number?

• By guessing randomly.

• By finding a perfect ratio.

• By using known values to estimate.

• By converting it to a fraction.

What is the approximate decimal value of the irrational number between -2 and -3 discussed in the video?

• -2.5

• -3.0

• -2.2

• -2.0