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Efficient Addition Subtraction Methods

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Efficient Addition & Subtraction Methods

Calculator and number line illustration

🧠 Part 1: Choosing the Best Method

1. Which method would be MOST efficient for calculating 4000 - 1999?

Column method

Number line

Mental compensation (4000 - 2000 + 1)

Counting backwards

2. For the calculation 2847 + 1356, which methods would work well? (Tick all that apply)

Column method

Mental partitioning

Number line

Counting on in ones

3. What is the first step when using the column method for subtraction?

Start subtracting from the left

Line up the digits by place value

Estimate the answer first

Check if you need to borrow

✏️ Part 2: Solving Problems

4. Use mental compensation to solve: 503 - 298

Think: 503 - 300 + _____ = _______

5. Solve using the column method: 3456 + 2789
6. Use a number line method to calculate: 5000 - 1250

Show your jumps: 5000 → _______ → _______ → _______

7. Mental partitioning: 2400 + 1350

2000 + 1000 = _______

400 + 300 = _______

0 + 50 = _______

Total = _______

🔍 Part 3: Check Your Answers

8. Sarah calculated 4567 + 2834 = 7401. Use inverse operations to check if she is correct.

Check: 7401 - 2834 = _______

Is Sarah correct? _______

9. Estimate to check: Is 3892 - 1567 = 2325 reasonable?

Round 3892 to the nearest hundred: _______

Round 1567 to the nearest hundred: _______

Estimated answer: _______ - _______ = _______

Is 2325 reasonable? _______

10. Challenge: A shop had £4850 in the till. After a busy day, they had £7234. How much money did they take during the day? Choose your method and explain why.

Method chosen: _________________________

Calculation:

Answer: £_______

Why I chose this method: ________________________________________________

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