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Divide 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 integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts.

Common Core: 7.NS.2b

Suggested Learning Targets


  • I can use the division rules for integers and apply them to dividing decimals and fractions.
  • I can explain that integers can be divided provided that the divisor is not zero.
  • I can explain and recognize that a negative fraction can be written as a negative numerator and positive denominator or as a positive numerator and negative denominator.
  • I can interpret quotients of rational numbers in real world contexts.
  • I can create an equivalent mathematical expression when given an expression by using the properties of operations.
  • I can identify equivalent expressions when given two or more expressions.


Related Topics:
Common Core for Grade 7

Common Core for Mathematics

More Lessons for Grade 7


Understanding division of rational numbers --Lesson 1 of 5 (Common Core Standard 7.NS.2b)
In this lesson you will learn about division with positive and negative integers by noticing patterns.


Understanding division of rational numbers --Lesson 2 of 5 (Common Core Standard 7.NS.2b)
In this lesson you will learn rules for dividing positive and negative integers by using the inverse relationship between multiplication and division.





Understanding division of rational numbers --Lesson 3 of 5 (Common Core Standard 7.NS.2b)
In this lesson you will learn that any division problem with integers will result in a rational number by applying what we know about multiplying integers.


Understanding division of rational numbers --Lesson 4 of 5 (Common Core Standard 7.NS.2b)
In this lesson you will learn about different ways to write negative fractions by looking at fractions as division problems.



 

Understanding division of rational numbers --Lesson 5 of 5 (Common Core Standard 7.NS.2b)
In this lesson you will learn why you cannot divide by zero or why you cannot have zero for a denominator by looking at the inverse relationship between multiplication and division.


Understanding division of rational numbers (Common Core Standard 7.NS.2b)
In this lesson, you will learn how to divide integers by doing the inverse of multiplication.




Dividing Rational numbers
Multiplicative Inverse or Reciprocals


Dividing Rational Numbers (Fractions & Mixed Numbers)
Multiplicative Inverse or Reciprocals



 

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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