Source: https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-for-primary-subtraction-methods-for-ks2-maths-seneca-certified/2-1-4-method-d-partitioning-method

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# Method D - Partitioning Method

CPD for Primary: Subtraction Methods for KS2 Maths (by Jo Morgan), topic 2.1.4

## Partitioning Method: 753 − 491

### Step 1

![Step 1](https://image-v2.cdn.app.senecalearning.com/2020-04/9dd9e4fb-b227-485a-a230-9b5d7c7a0df4/Method%20D%20-%20Example%201.png)

- Partition the subtrahend.

### Step 2

![Step 2](https://image-v2.cdn.app.senecalearning.com/2020-05/76d02ba0-c8d4-47ae-8be7-4154b0639659/Copy%20of%20Method%20D%20-%20Example%202%20(1).png)

- Subtract the subtrahend in parts. 
- Start by subtracting 400 from 753.

### Step 3

![Step 3](https://image-v2.cdn.app.senecalearning.com/2020-04/a7a5561d-4c4a-44bb-9c1b-5b765527628e/Method%20D%20-%20Example%201%20(2).png)

- Now, subtract 90 from 353. 
 - If that’s too difficult, then split 90 into 50 + 40. 
 - First, subtract 50.

### Step 4

![Step 4](https://image-v2.cdn.app.senecalearning.com/2020-04/3bccca46-4a4e-43b3-aac3-a82cc35a2cb2/Method%20D%20-%20Example%201%20(3).png)

- Then subtract 40.

### Step 5

![Step 5](https://image-v2.cdn.app.senecalearning.com/2020-04/63e7dc20-99a1-4e3e-90ad-1df576df6ac8/Method%20D%20-%20Example%201%20(4).png)

- Finally, subtract 1 from 263.

## Test yourself on Method D - Partitioning Method

- **Example question: Use the Partitioning Method to calculate 64726 - 17635. **Which student has correctly partitioned the subtrahend?
- **Example question: Use the Partitioning Method to calculate 64726 - 17635. **Which student has correctly carried out step 2 of the Partitioning Method?
- **Example question: Use the Partitioning Method to calculate 64726 - 17635. **Which student has most logically split the calculation 54726 − 7000?

[Practise this topic for free](https://app.senecalearning.com/classroom/course/eab4f483-2118-4224-8daa-b5f64232f209/section/43d1355f-7702-47d6-b7c3-dc769368b2b4/session)

- Previous topic: [2.1.3 Method C - Expanded Form Method](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-for-primary-subtraction-methods-for-ks2-maths-seneca-certified/2-1-3-method-c-expanded-form-method.md)
- Next topic: [2.1.5 Method E - Counting-Up Method](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-for-primary-subtraction-methods-for-ks2-maths-seneca-certified/2-1-5-method-e-counting-up-method.md)

## CPD for Primary: Subtraction Methods for KS2 Maths (by Jo Morgan) contents

### 1 Course Overview
- 1.1 Course Structure & Commonly Asked Questions
  - [1.1.1 Introduction to the Course & Common Questions](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-for-primary-subtraction-methods-for-ks2-maths-seneca-certified/1-1-1-introduction-to-the-course-and-common-questions.md)

### 2 Subtraction Methods
- 2.1 Subtraction Methods
  - [2.1.1 Method A - Decomposition Method](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-for-primary-subtraction-methods-for-ks2-maths-seneca-certified/2-1-1-method-a-decomposition-method.md)
  - [2.1.2 Method B - Equal Addition Method](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-for-primary-subtraction-methods-for-ks2-maths-seneca-certified/2-1-2-method-b-equal-addition-method.md)
  - [2.1.3 Method C - Expanded Form Method](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-for-primary-subtraction-methods-for-ks2-maths-seneca-certified/2-1-3-method-c-expanded-form-method.md)
  - [2.1.4 Method D - Partitioning Method](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-for-primary-subtraction-methods-for-ks2-maths-seneca-certified/2-1-4-method-d-partitioning-method.md)
  - [2.1.5 Method E - Counting-Up Method](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-for-primary-subtraction-methods-for-ks2-maths-seneca-certified/2-1-5-method-e-counting-up-method.md)
  - [2.1.6 Method F - Constant Difference Method](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-for-primary-subtraction-methods-for-ks2-maths-seneca-certified/2-1-6-method-f-constant-difference-method.md)
  - [2.1.7 Method G - Partial Differences Method](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-for-primary-subtraction-methods-for-ks2-maths-seneca-certified/2-1-7-method-g-partial-differences-method.md)
  - [2.1.8 Method H - Complementary Method](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-for-primary-subtraction-methods-for-ks2-maths-seneca-certified/2-1-8-method-h-complementary-method.md)
  - [2.1.9 Method I - Nines Complement Method](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-for-primary-subtraction-methods-for-ks2-maths-seneca-certified/2-1-9-method-i-nines-complement-method.md)