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Questions and Answers
What is the purpose of partitioning in subtraction?
Why is partitioning helpful in subtraction?
What is the first step in subtraction by partitioning?
What comes after breaking down the minuend into subtrahends in subtraction by partitioning?
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In subtraction by partitioning, what is done after subtracting the subtrahend from each unit individually?
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Which step in subtraction by partitioning involves combining the individual results?
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What does breaking down 87 into 80 + 7 represent in subtraction by partitioning?
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'Record the results' in subtraction by partitioning involves:
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'Combine the individual results' in subtraction by partitioning is done to:
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Study Notes
Mastering Subtraction by Partitioning: A Comprehensive Guide
On the path to mathematical proficiency, learning subtraction by partitioning is an essential milestone. This educational method, also known as partitioning a whole into parts, allows you to break down a larger number into component parts to achieve a subtraction operation. In this article, we'll delve into the subtopics of subtraction by partitioning:
- Understanding partitioning
- Steps for subtraction by partitioning
- Solving examples
Understanding Partitioning
Partitioning refers to the process of breaking down a whole into component parts. In the context of mathematics, it's a technique used to simplify subtraction. Instead of subtracting one number from another in one step, partitioning allows us to break down the larger number (the minuend) into smaller units (the subtrahends) and perform the subtraction in steps.
Steps for Subtraction by Partitioning
- Break down the minuend into smaller units (subtrahends).
- Subtract the subtrahend from each unit individually.
- Record the result of each subtraction operation.
- Combine the individual results to get the final answer.
Let's consider the following example:
- Minuend: 87
- Subtrahend: 45
Step 1: Break down the 87 into smaller units (subtrahends). We can break down 87 into 80 + 7.
Step 2: Subtract the subtrahend (45) from each unit.
- Subtract 45 from 80: 80 - 45 = 35
- Subtract 45 from 7: 7 - 45 = -38
Step 3: Record the results: 35 and -38.
Step 4: Combine the individual results to get the final answer. Add 35 to -38: 35 + (-38) = -13.
Solving Examples
You can practice subtraction by partitioning for various numbers by following these steps. Here's another example:
- Minuend: 152
- Subtrahend: 93
Break down 152 into smaller units. We can break down 152 into 140 + 12.
- Subtract 93 from 140: 140 - 93 = 47
- Subtract 93 from 12: 12 - 93 = -81
The results are 47 and -81. Adding these results together gives us the final answer: 47 + (-81) = -34.
Subtraction by partitioning is a powerful method for solving subtraction problems, especially when dealing with larger numbers. By following these steps, you'll develop a greater understanding of how to partition a whole into parts and perform subtraction operations.
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Description
Test your understanding of subtraction by partitioning with this comprehensive quiz. Learn how to break down larger numbers into component parts and perform subtraction operations step by step. Practice solving examples and enhance your mathematical skills.
