Here’s an example of a **SPEED MATH** shortcut for **MULTIPLYING 3-DIGIT NUMBERS NEAR A BASE NUMBER : (Mul) NrB3 ** from the **MULTIPLICATION** category.

**When can I use this method?**

For multiplying any 3-digit number with another 3-digit number such that the numbers are relatively near each other.

You may also use this method to multiply numbers a little farther away from each other as long as their differences from the Base number are easy to multiply.

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** Download Practice sheet for MULTIPLYING 3-DIGIT NUMBERS NEAR A BASE NUMBER**

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**Notes –**

- When selecting a Base number, prefer a number that is near the multiplier and multiplicand as well as it should be easy to multiply with (prefer round numbers).
- This method uses the concept (B + a) (B + b) = [(B + a) + b] + ab or [(B + b) + a] + ab, where ‘(B + a)’ and ‘(B + b)’ are numbers near a Base number ‘B’ and ‘a’ and ‘b’ are the respective differences.
- Whenever the number is more than the Base number, the difference is written as positive (+ve).
- Whenever the number is less than Base Number, the difference is written as negative (-ve).
- When both numbers are either less or more than Base Number, you add the product of differences.
- When one number is more than Base number and another less than Base number, you subtract the product of differences.

**Related Shortcuts –**

Multiplying 2-digit Numbers near a Base Number: (Mul) NrB2

Multiplying 4-digit Numbers near a Base Number: (Mul) NrB4

Multiplying Numbers near different Base Numbers: (Mul) NrBpBs

Multiplying Numbers using Nearby Method: (Mul) NxM(Nr)

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