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Speed Math Squaring 2-digit Numbers near a Base Squaring and Square Roots

[Speed Math] SQUARING 2-DIGIT NUMBERS NEAR A BASE

Here’s an example of a SPEED MATH shortcut for SQUARING 2-DIGIT NUMBERS NEAR A BASE : (Sq) NrB2 from the SQUARING AND SQUARE ROOTS category.

Squaring 2-digit Numbers near a Base

When can I use this method?

For squaring any 2-digit numbers.

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

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pdf Download Practice sheet for SQUARING 2-DIGIT NUMBERS NEAR A BASE

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Notes –

  1. 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).
  2. This method uses the concept (B + a)2 = [(B + a) + a] + a2, where ‘(B + a)’ is the number to be squared, ‘B’ is the Base number and ‘a’ is the difference.
  3. Whenever the number is more than the Base number, the difference is written as positive (+ve).
  4. Whenever the number is less than Base Number, the difference is written as negative (-ve).
  5. This method is a corollary to the Multiplication method NrB2

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 3-digit Numbers near a Base : (Sq) NrB3


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