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Topic Review: Operations with rational numbers

Introduction

We've just finished the chapter on Operations with Rational numbers. Let's do a review to ensure we have mastered each topic.

Operations with Rational numbers

In this chapter we covered the following topics:

  •  Multiply fractions 
  •  Divide fractions and whole numbers 
  •  Divide fractions 
  •  Multiply and divide mixed numbers 
  •  Problem solving with fractions 
  •  Divide by a single digit 
  •  Divide by multi-digits 
  •  Add decimals 
  •  Subtract decimals 
  •  Multiply decimals 
  •  Divide decimals 
  •  Problem solving with decimals 
  •  Convert fractions, decimals and percents 
  •  Compare and order fractions, decimals, percents 
  •  Problem solving with percentages 

Outcomes

6.RP.A.3

Use ratio and rate reasoning to solve real-world and mathematical problems, e.g. By reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

6.NS.A.1

Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g. By using visual fraction models and equations to represent the problem.

6.NS.B.2

Fluently divide multi-digit numbers using the standard algorithm

6.NS.B.3

Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

6.NS.C.7

Understand ordering and absolute value of rational numbers.

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