Exploring Fractions and Decimals in Pre-Algebra

This video tutorial covers the conversion between fractions and decimals, including both terminating and repeating decimals. It explains how to use long division to convert fractions to decimals and how to convert decimals back into fractions. The video also addresses the conversion of repeating decimals into fractions using a series of nines in the denominator. Key concepts include understanding the difference between terminating and repeating decimals and simplifying fractions.

What are the two main learning targets for this lesson?

• I can write fractions and mixed numbers as decimals and I can write repeating decimals as fractions or mixed numbers.

• I can write percentages as fractions and I can write decimals as mixed numbers.

• I can write decimals as fractions and I can write whole numbers as mixed numbers.

• I can write fractions as percentages and I can write mixed numbers as whole numbers.

What is the term for a decimal that eventually stops?

• Finite decimal

• Terminating decimal

• Infinite decimal

• Repeating decimal

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

In long division, what is the term for the number that goes inside the division bar?

• Remainder

• Divisor

• Dividend

• Quotient

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2

What is the decimal representation of 3/8?

• 0.125

• 0.875

• 0.625

• 0.375

What is the decimal representation of 4/9?

• 0.4

• 0.4 repeating

• 0.44

• 0.444

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

How do you convert a decimal to a fraction?

• Place the decimal in the numerator and use a power of 10 in the denominator based on the number of decimal places.

• Place the decimal in the denominator and use a power of 2 in the numerator based on the number of decimal places.

• Place the decimal in the denominator and use a power of 10 in the numerator based on the number of decimal places.

• Place the decimal in the numerator and use a power of 2 in the denominator based on the number of decimal places.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is the fraction representation of 0.35?

• 7/20

• 35/100

• 14/40

• 3/5

What is the fraction representation of 0.88 repeating?

• 8/100

• 8/9

• 8/99

• 8/10

What is the fraction representation of 0.27 repeating?

• 27/100

• 27/99

• 3/11

• 3/9

What method is used to convert a fraction to a decimal?

• Multiplication

• Long division

• Addition

• Subtraction

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1