Converting Between Fractions and Decimals

This lesson covers converting between fractions and decimals, explaining the difference between terminating and repeating decimals. It includes examples of converting mixed numbers and fractions to decimals, as well as converting decimals back to fractions. The lesson emphasizes understanding decimal types and practicing conversion techniques.

What is the main goal of this lesson?

• To solve algebraic equations

• To learn about irrational numbers

• To understand complex numbers

• To convert between fractions and decimals

Which of the following is a terminating decimal?

• 2.999...

• 0.333...

• 1.75

• 0.666...

How can you identify a repeating decimal?

• It ends with a zero

• It is always greater than 1

• It has a finite number of digits

• It has a line over the repeating digits

What is the decimal representation of 5/11?

• 0.55

• 0.45

• 0.4545...

• 0.5

What is the decimal form of -2 1/4?

• -2.125

• -2.75

• -2.5

• -2.25

How do you convert a terminating decimal to a fraction?

• Divide by 10

• Multiply by 100

• Use the place value of the last digit

• Add a repeating bar

What is the fraction form of 0.26?

• 26/100

• 13/100

• 13/50

• 1/4

Which place value is used for the decimal 0.125?

• Ten-thousandths

• Thousandths

• Hundredths

• Tenths

What is the simplified form of 125/1000?

• 1/4

• 1/10

• 5/40

• 1/8

What is the mixed number form of 31/10?

• 3 1/10

• 3 1/4

• 3 1/5

• 3 1/2