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Multiplication and Division of Rational Numbers

7.NS.A.2c
Answer Keys Here

Aligned To Common Core Standard:

Grade 7 Number Systems - 7.NS.A.2c

What are common strategies to multiply and divide rational numbers? A rational number is a number that can be written as a normal fraction, like a ratio. For example: 5 = 5/1 1.75 = 7/4 .001 = 1/1000 0.111… = 1/9 So, a rational number looks like: P/ Q But remember, Q cannot be zero. Multiplication - So, if you are looking to multiply rational numbers, the first tip to do it successfully is multiplying the tops and bottoms with each other separately. Like this: (a/b) x (c/d) = (ac/bd) 1/2 x 2/5 = (1 x 2) / (2x5) = 2/10 = 1/5 Divide - When it comes down to dividing the rational numbers. First, you need to flip the second number or make it a reciprocal and then multiply like below: (A/B) / (C/D) A/B x D/C = AD/BC 1/2 divided by 1/6 Reciprocal of the second fraction = 6/1 Hence, 1/2 x 6/1 = (1 x 2) / (6x1) = 6/2 = 3 Often times student uses some pictorial or visual aid that can help them understanding the problem much better.

Printable Worksheets And Lessons




Homework Sheets

Fraction equivalence, completing operations, and simplifying expressions.

  • Homework 1 - Reduce all the fractions to see which fraction is equivalent to it.
  • Homework 2 - In order to get a positive product from a negative number, we know that the equation must follow this pattern: negative × negative = positive (Our answer must be negative.)
  • Homework 3 - Simplify the expression: 5(4t + 7)



Practice Worksheets

The expressions seem to be the most challenging for students at this level.

  • Practice 1 - What integer would make this sentence true?
  • Practice 2 - Simplify the expressions.
  • Practice 3 - Which of the following fractions is equivalent to 9/17?



Math Skill Quizzes

If you or your students have trouble with these, review the single step algebra sheets.

  • Quiz 1 - A few advanced expressions make their way in here.
  • Quiz 2 - What integer would make this sentence true?
  • Quiz 3 - Test out how you did with this topic.