# Convert Rational Numbers & Decimals

Videos and lessons to help Grade 7 students learn how to apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

Common Core: 7.NS.2d

### Suggested Learning Targets

• I can convert rational numbers to decimal numbers.
• I can recognize a terminating or repeating decimal.

Related Topics:

Common Core for Mathematics

Convert rational numbers to decimals--Lesson 1 of 5 (Common Core Standard 7.NS.2d)
In this lesson you will learn to rewrite fractions as decimals by using long division.

Convert rational numbers to decimals--Lesson 2 of 5 (Common Core Standard 7.NS.2d)
In this lesson you will learn to rewrite fractions as repeating decimals by using long division.

Convert rational numbers to decimals--Lesson 3 of 5 (Common Core Standard 7.NS.2d)
In this lesson you will learn to rewrite mixed numbers and improper fractions as decimals by using long division.

Convert rational numbers to decimals--Lesson 4 of 5 (Common Core Standard 7.NS.2d)
In this lesson you will look at the relationship between fractions and decimals by using multiplication.

Convert rational numbers to decimals--Lesson 5 of 5 (Common Core Standard 7.NS.2d)
In this lesson you will learn how to determine if a fraction rewritten as a decimal will repeat or terminate by using the denominator's prime factorization.

Rational Numbers Converting Fractions and Decimals.

Rational Numbers: Changing Fractions to Decimals and Changing Decimals to Fractions
This video explains how to change fractions to decimals and how to change decimals to fractions.

Fractions and Decimals
The video explains how to convert fractions to decimals, how to convert decimals to fractions, how to determine if a number is rational, how to graph rational numbers, and it defines irrational numbers.

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