Converting Decimals to Fractions

The lesson covers converting decimals to fractions, focusing on three types of decimals: terminating, repeating, and non-repeating. Terminating and repeating decimals can be expressed as fractions, making them rational numbers. Non-repeating decimals, like pi, are irrational and cannot be written as fractions. The video explains how to convert terminating and repeating decimals into fractions, emphasizing the importance of place value and simplification.

What is the primary goal of today's lesson?

• To convert terminating and repeating decimals into fractions

• To understand the concept of irrational numbers

• To explore the history of decimals

• To learn to convert fractions into decimals

Which of the following is an example of a terminating decimal?

• 0.333...

• 2.535353...

• 17.8

• Pi

How can repeating decimals be represented?

• With a repeating bar over the repeating digits

• By writing them as whole numbers

• Using a percentage sign

• By adding a zero at the end

What distinguishes non-repeating decimals from repeating decimals?

• Non-repeating decimals are always whole numbers

• Non-repeating decimals continue forever without a repeating pattern

• Non-repeating decimals have a repeating pattern

• Non-repeating decimals can be written as fractions

Which of the following is an example of an irrational number?

• 1/2

• Pi

• 3.14

• 0.5

What is the first step in converting a terminating decimal to a fraction?

• Multiply by 100

• Identify the place value of the last digit

• Convert it to a percentage

• Add a repeating bar

When converting 0.28 to a fraction, what is the denominator?

• 100

• 10

• 1

• 28

How do you simplify the fraction 28/100?

• Divide both numerator and denominator by 2

• Divide both numerator and denominator by 4

• Multiply both numerator and denominator by 2

• Multiply both numerator and denominator by 4

What adjustment is made to the denominator when converting a repeating decimal to a fraction?

• Subtract one from the denominator

• Add one to the denominator

• Divide the denominator by 10

• Multiply the denominator by 10

If a repeating decimal has a whole number in front, how is it represented in the fraction?

• The whole number is subtracted from the denominator

• The whole number is placed in front of the fraction

• The whole number is added to the numerator

• The whole number is ignored