Determining Terminating and Repeating Decimals

This lesson teaches how to determine if fractions convert to terminating or repeating decimals using proportional reasoning and double tape diagrams. It explains the concept of repetend and common misunderstandings, provides examples of calculating winning percentages, and demonstrates converting fractions to decimals in a recipe context.

What is a terminating decimal?

• A decimal that cannot be expressed as a fraction

• A decimal that repeats a pattern

• A decimal with an infinite number of digits

• A decimal with a finite number of digits

What does the repetend bar indicate in a repeating decimal?

• The start of the decimal

• The digits that do not repeat

• The digits that repeat

• The end of the decimal

How is the team's winning percentage calculated from 5 out of 8 games?

• By adding 5 and 8 and converting to a percentage

• By multiplying 5 by 8 and converting to a percentage

• By subtracting 5 from 8 and converting to a percentage

• By dividing 5 by 8 and converting to a percentage

Why is 5/8 equivalent to 625 thousandths?

• Because 5 is a factor of 1000

• Because 8 is a factor of 1000

• Because 8 is a factor of 100

• Because 5 is a factor of 100

What is the decimal equivalent of 5/6?

• 0.833 with no repeating

• 0.833 with 8 repeating

• 0.833 with 3 repeating

• 0.833 with 5 repeating

What is a key characteristic of a repeating decimal?

• It is always greater than 1

• It has a finite number of digits

• It has a pattern of digits that repeats indefinitely

• It cannot be expressed as a fraction

What is the main method used in the lesson to determine if a fraction converts to a terminating or repeating decimal?

• Using proportional reasoning and double tape diagrams

• Using a calculator

• Using a number line

• Using a multiplication table