Converting Fractions to Terminating Decimals: Visual Representations

This lesson teaches how to convert fractions into terminating decimals using visual aids. It explains the concept of fractions, the importance of denominators, and how fractions with denominators as powers of 10 can be easily converted to decimals. The lesson addresses common mistakes, provides examples of terminating decimals, and uses practical examples with wood and money to illustrate the concepts. The lesson concludes by summarizing the key points learned.

What is a key characteristic of a terminating decimal?

• It has an infinite number of digits after the decimal point.

• It has a finite number of digits after the decimal point.

• It can only be expressed as a fraction.

• It is always greater than 1.

Which of the following fractions can be directly written as a decimal?

• 5/8

• 4/10

• 7/9

• 3/7

How many tenths are equivalent to 1/5 of a meter?

• 1/10

• 2/10

• 3/10

• 4/10

If a piece of wood is divided into 5 equal parts, what decimal represents one part?

• 0.4

• 0.3

• 0.2

• 0.1

How much money does each student get if $3 is shared equally among four students?

• $0.70

• $0.60

• $0.75

• $0.50

What is the decimal representation of 3/4?

• 0.8

• 0.75

• 0.6

• 0.5

In the money example, how many cents does each student receive after dividing the remaining $0.20?

• 4 cents

• 5 cents

• 3 cents

• 2 cents