# Multiply Rational Numbers

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.

Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

Common Core: 7.NS.2a

### Suggested Learning Targets

• I can multiply and divide rational numbers (integers, fractions, and decimals).
• I can use the multiplication rules for integers and apply them to multiplying decimals and fractions.
• I can use real-world contexts to describe the product of rational numbers.
• I can iInterpret products of rational numbers in real world contexts.
• I can create an equivalent mathematical expression when given an expression by using the distributive property or other properties of operations.
• I can identify equivalent expressions when given two or more expressions.

Related Topics:

Common Core for Mathematics

Extending multiplication of fractions to rational numbers--Lesson 1 of 3 (Common Core 7.NS.2)
In this lesson you will learn to multiply positive and negative integers by using a number line.

Extending multiplication of fractions to rational numbers--Lesson 2 of 3 (Common Core 7.NS.2)
In this lesson you will learn to multiply two positive or two negative integers by using a number line.

Extending multiplication of fractions to rational numbers--Lesson 3 of 3 (Common Core 7.NS.2)
In this lesson you will learn to multiply sets of integers by using the associative property on a number line.

Understanding multiplication of rational numbers: Lesson 1 of 4 (Common Core Standard 7.NS.2a)
In this lesson you will learn about multiplication with positive and negative integers by noticing patterns.

Understanding multiplication of rational numbers: Lesson 2 of 4 (Common Core Standard 7.NS.2a)
In this lesson you will learn about the rules for multiplying a positive integer by a negative integer by using the distributive property.

Understanding multiplication of rational numbers: Lesson 3 of 4 (Common Core Standard 7.NS.2a)
In this lesson you will learn about the rules for multiplying a negative integer by a negative integer by using the distributive property.

Understanding multiplication of rational numbers: Lesson 4 of 4 (Common Core Standard 7.NS.2a)
In this lesson you will learn about multiply rational numbers other than integers by extending what you know about multiplication with integers.

Understanding multiplication of rational numbers --Lesson 1 of 3 (Common Core Standard 7.NS.2a)
In this lesson, you will learn how to multiply integers by using the money model.

Understanding multiplication of rational numbers --Lesson 2 of 3 (Common Core Standard 7.NS.2a)
In this lesson, you will learn how to multiply integers by using patterns.

Understanding multiplication of rational numbers --Lesson 3 of 3 (Common Core Standard 7.NS.2a)
In this lesson, you will learn how to prove that a negative times a negative equals a positive by using the distributive property.

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