Converting Fractions to Decimals: Key Concepts

The video tutorial explains how to convert fractions into decimals by performing division. It covers both manual and calculator methods, demonstrating with examples like 1/2, 3/4, and 1/3. The tutorial highlights the concept of repeating decimals and emphasizes the importance of understanding both manual and calculator methods for conversion. It concludes with a review of common fraction-to-decimal conversions and encourages practice.

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

• Multiply the numerator by the denominator

• Subtract the denominator from the numerator

• Add the numerator and the denominator

• Divide the numerator by the denominator

When converting 1/2 to a decimal, what do you do after realizing 2 is bigger than 1?

• Use a decimal point and add zeros

• Multiply by 10

• Add another fraction

• Subtract 1 from 2

What is the decimal value of 1/2?

• 0.5

• 0.2

• 0.75

• 0.25

How many times does 4 go into 30 when converting 3/4 to a decimal?

• 7 times

• 8 times

• 6 times

• 9 times

What is the decimal value of 3/4?

• 0.75

• 1.0

• 0.5

• 0.25

What happens when you divide 1 by 3 to find the decimal value of 1/3?

• You get a repeating decimal

• You get a whole number

• You get a fraction

• You get a remainder of 2

What is the repeating decimal value of 1/3?

• 0.25

• 0.333...

• 0.666...

• 0.5

What is the decimal value of 1/4 when using a calculator?

• 0.1

• 0.2

• 0.3

• 0.25

Which of the following fractions has a repeating decimal value?

• 1/2

• 1/3

• 1/4

• 3/4

Why is it important to know how to convert fractions to decimals manually?

• Because calculators are not always available

• Because it is faster

• Because it is more accurate

• Because it is more fun