Here’s an example of a **SPEED MATH** shortcut for **SQUARING 3-DIGIT NUMBERS NEAR A BASE : (Sq) NrB2** from the **SQUARING AND SQUARE ROOTS** category.

**When can I use this method?**

For squaring any 3-digit numbers.

The number can be either < or > a Base number.

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

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### Notes –

- When selecting a Base number, prefer a number that is near the number to be squared as well as it should be easy to multiply with (prefer round numbers).
- This method uses the concept (B + a)
^{2}= [(B + a) + a] + a^{2}, where ‘(B + a)’ is the number to be squared, ‘B’ is the Base number and ‘a’ is the difference. - 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).
- This method is a corollary to the Multiplication method NrB3

### Related Shortcuts –

Squaring Numbers near 100 : (Sq) Nr100

Squaring Numbers near 1000 : (Sq) Nr1000

Squaring Numbers near 50 : (Sq) Nr50

Squaring Numbers near 500 : (Sq) Nr500

Squaring 2-digit Numbers near a Base : (Sq) NrB2

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