Understanding 0.9 Repeating Equals 1

The video tutorial explores whether 1 equals 0.9 repeating. It uses fractions to demonstrate this concept, starting with converting 1/3 into a decimal, which is 0.3 repeating. By setting up equations and adding them, the tutorial shows that 3/3 equals 1 and 0.9 repeating, thus proving that 1 is indeed equal to 0.9 repeating.

What question does the video initially pose?

• Is 1 greater than 0.9 repeating?

• Is 0.9 repeating less than 1?

• Is 0.9 repeating a fraction?

• Is 1 equal to 0.9 repeating?

What fraction is used to demonstrate the concept of repeating decimals?

• 1/4

• 1/2

• 1/5

• 1/3

What is the decimal equivalent of 1/3?

• 0.25

• 0.5

• 0.3 repeating

• 0.75

What is the result of adding 0.3 repeating three times?

• 0.6

• 0.9 repeating

• 0.8

• 1.0

What does the video ultimately prove about 1 and 0.9 repeating?

• 0.9 repeating is a fraction.

• They are not equal.

• 1 is greater than 0.9 repeating.

• They are equal.