Source: https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-a-compendium-of-mathematical-methods-seneca-certified/2-1-5-method-e-counting-up-method

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# Method E - Counting-Up Method

CPD: A Compendium of Mathematical Methods (By Jo Morgan), topic 2.1.5

## Counting-Up Method: 753 - 491

### Step 1

![Step 1](https://image-v2.cdn.app.senecalearning.com/2020-04/831e651d-0428-42ba-b913-41a6d78696bd/Method%20C%20-%20Example%201.png)

- Write out the subtrahend under the minuend.

### Step 2

![Step 2](https://image-v2.cdn.app.senecalearning.com/2020-04/7298a621-0b75-46b3-9d9a-ed7fa69a9b3e/Method%20C%20-%20Example%201%20(1).png)

- Work out what we need to add to 491 to get 753. Do this in stages. 
- First we can add 9 to 491. This gives 500.

### Step 3

![Step 3](https://image-v2.cdn.app.senecalearning.com/2020-04/e2763847-0f38-498f-a925-e3ebe22ff4e6/Method%20C%20-%20Example%201%20(2).png)

- At each stage, write what you’ve added and keep a running total so you know when you’ve reached 753.
- Next, we add 200 to 500. This gives 700.

### Step 4

![Step 4](https://image-v2.cdn.app.senecalearning.com/2020-04/03e6f982-7b0a-4707-af5b-fe190b19a73f/Method%20C%20-%20Example%201%20(3).png)

- Next, add 50 to 700. This gives 750.

### Step 5

![Step 5](https://image-v2.cdn.app.senecalearning.com/2020-04/1fb7cd12-2ee2-47fc-9847-075a6a39d7d5/Method%20C%20-%20Example%201%20(4).png)

- Next, add 3 to 750. This gives 753 as required.

### Step 6

![Step 6](https://image-v2.cdn.app.senecalearning.com/2020-04/e83180bf-34df-423f-91ed-bde44ddac0aa/Method%20C%20-%20Example%201%20(5).png)

- Now sum the numbers you added to 491.

### Checking the answer

![Checking the answer](https://image-v2.cdn.app.senecalearning.com/2020-04/e83180bf-34df-423f-91ed-bde44ddac0aa/Method%20C%20-%20Example%201%20(5).png)

- If 491 + 262 = 753 then 753 − 491 = 262.

## Test yourself on Method E - Counting-Up Method

[Practise this topic for free](https://app.senecalearning.com/classroom/course/d0e67498-99c8-47d2-ada7-cd629abed70c/section/b53d74e0-c98f-4cde-a7eb-1b39eda3c0ac/session)

- Previous topic: [2.1.4 Method D - Partitioning Method](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-a-compendium-of-mathematical-methods-seneca-certified/2-1-4-method-d-partitioning-method.md)
- Next topic: [2.1.6 Method F - Constant Difference Method](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-a-compendium-of-mathematical-methods-seneca-certified/2-1-6-method-f-constant-difference-method.md)

## CPD: A Compendium of Mathematical Methods (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-a-compendium-of-mathematical-methods-seneca-certified/1-1-1-introduction-to-the-course-and-common-questions.md)

### 2 Subtraction: KS2/3
- 2.1 Subtraction Methods
  - [2.1.1 Method A - Decomposition Method](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-a-compendium-of-mathematical-methods-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-a-compendium-of-mathematical-methods-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-a-compendium-of-mathematical-methods-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-a-compendium-of-mathematical-methods-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-a-compendium-of-mathematical-methods-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-a-compendium-of-mathematical-methods-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-a-compendium-of-mathematical-methods-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-a-compendium-of-mathematical-methods-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-a-compendium-of-mathematical-methods-seneca-certified/2-1-9-method-i-nines-complement-method.md)

### 3 Expanding Double Brackets: KS3/4
- 3.1 Expansion Methods
  - [3.1.1 Method A - Grid Method](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-a-compendium-of-mathematical-methods-seneca-certified/3-1-1-method-a-grid-method.md)
  - [3.1.2 Method B - Each by Each](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-a-compendium-of-mathematical-methods-seneca-certified/3-1-2-method-b-each-by-each.md)
  - [3.1.3 Method C - Distributive Law](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-a-compendium-of-mathematical-methods-seneca-certified/3-1-3-method-c-distributive-law.md)
  - [3.1.4 Method D - Inspection](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-a-compendium-of-mathematical-methods-seneca-certified/3-1-4-method-d-inspection.md)
  - [3.1.5 Method E - Column Method](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-a-compendium-of-mathematical-methods-seneca-certified/3-1-5-method-e-column-method.md)
  - [3.1.6 Method F - Vertical & Crosswise](https://senecalearning.com/en-gb/revision-notes/teacher-cpd/cpd-a-compendium-of-mathematical-methods-seneca-certified/3-1-6-method-f-vertical-and-crosswise.md)