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Understanding Division: The Opposite of Multiplication and How to Solve Word Problems

This guide explores the concept of division as the opposite of multiplication. It covers the method of inverting numbers, using reciprocals, and transforming whole and mixed numbers into improper fractions for division. Learn how to apply these steps by multiplying the inverted divisor and canceling where possible. The guide emphasizes the importance of order in word problems, demonstrating how to break down scenarios with examples, such as dividing chocolate into containers. Mastering these principles helps in solving problems accurately and efficiently.

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Understanding Division: The Opposite of Multiplication and How to Solve Word Problems

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Presentation Transcript

  1. Fraction Division Opposite of Multiplication

  2. The opposite number: • Invert • Called the reciprocal

  3. To Divide • Invert the second number • Multiply

  4. Steps • Change Whole numbers and mixed numbers to improper fractions • Invert the second fraction (the divisor) and multiply • Cancel if you can • Multiply numerator by numerator and denominator by denominator.

  5. Examples

  6. Word Problems

  7. Commutative • Multiplication is commutative • 3x4 = 4x3 • Is division commutative? • NO!

  8. Division • The order matters • When working word problems, be careful what order you write the problem. • The thing being split, cut, sorted, shared, divided, or grouped goes first. • How many pieces or how big goes second.

  9. Fran puts 5 1/3 lbs of chocolate in 2/3 lb containers. How many containers? • Chocolate is first as it is split. • Total divided by How Big is How Many. • 8 containers.

  10. elements WWW.ANIMATIONFACTORY.COM

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