Understanding Repeating Decimals

The video tutorial explains how to convert fractions to decimals using long division. It demonstrates the conversion of 1/3 and 5/12 into decimals, highlighting the repeating nature of these decimals. The tutorial emphasizes the importance of not rounding repeating decimals to maintain accuracy. It concludes with a verification of results using a calculator, noting the limitations of calculators in representing repeating decimals.

What does the fraction bar in a fraction represent?

• Division

• Subtraction

• Addition

• Multiplication

When converting 1/3 to a decimal, what is the repeating digit?

• 1

• 3

• 0

• 9

Why do we add zeros to the right of the decimal point when converting fractions?

• To extend the division process

• To make the division easier

• To change the value of the number

• To make the number larger

What is the first step in converting 5/12 to a decimal?

• Multiply 5 by 12

• Subtract 12 from 5

• Add 12 to 5

• Divide 5 by 12

In the conversion of 5/12, which digit repeats in the decimal?

• 0

• 1

• 4

• 6

What is the decimal representation of 1/3?

• 0.3333

• 0.3 with a bar over 3

• 0.333

• 0.33

Why is it important not to round repeating decimals?

• It changes the value of the fraction

• It makes the number look cleaner

• It makes calculations easier

• It simplifies the fraction

What does the bar over a digit in a decimal indicate?

• The digit is an approximation

• The digit is incorrect

• The digit is rounded

• The digit repeats indefinitely

How does a calculator typically display repeating decimals?

• By rounding the decimal

• By showing all repeating digits

• By using a special symbol

• With a bar over the repeating digit

What is the decimal representation of 5/12?

• 0.41

• 0.4166

• 0.41 with a bar over 6

• 0.416