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Interpret the Remainder with multi digit long division

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Grade 4, 5, 6





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About This Product

What does understanding the quotient really mean? How can students apply the quotient and its remainder in different ways to better understand and solve word problems? Use these FOUR strategies that work for all word problems to interpret remainder after you’ve divided.  

Mastering the skill of interpreting remainders requires consistent practice. Using these 20 examples, available in both color and black & white, teachers will be able to help students in honing this skill.

Each example presents a real-world scenario where students must decide how to use the remainder…. Or if it is used at all. Each question prompts a different response.

 Will they choose to increase the quotient with the remainder?

  • Convert the remainder into a fraction?

  • Use only the quotient, disregarding the remainder?

  • Or solely rely on the remainder itself?

  • These examples cover all possible approaches.

Additionally, comprehensive notes and differentiated activities are provided to support students in understanding the decision-making process regarding remainders.

Through this resource, students will:

·         Engage in multi-digit long division practice.

·         Learn to interpret remainders using various strategies.

·         Refer to mini "cheat sheets" on each page to aid decision-making.

By applying these strategies to solve real-world math problems, students will decide whether to:

·         Utilize only the quotient.

·         Consider only the remainder.

·         Increase the quotient.

·         Transform the remainder into a fraction.

These relatable real-world problems will keep students invested and engaged in their learning process.

How to use this resource:

·         Set up stations around the classroom.

·         Implement as math centers.

·         Assign as homework or classwork.

·         Facilitate group work activities.

·         Provide additional practice when standard math curriculum falls short.


Resource Tags

interpret the remainder division fraction bump it up word problems understanding the quotient dividend divisor remainder divide

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