Speed Math Squaring and Square Roots Squaring Numbers near 500


Here’s an example of a SPEED MATH shortcut for SQUARING NUMBERS NEAR 500 : (Sq) Nr500 from the SQUARING AND SQUARE ROOTS category.

Squaring Numbers near 500

When can I use this method?

For squaring numbers near 500.

The number can be either < or > 500.

One can use this method to square numbers away from 500 as long as it is comfortable to square the difference portions.

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pdf Download Practice sheet for SQUARING NUMBERS NEAR 500

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Notes –

  1. This method uses the concept (500 + a)2 = [(250 + a) 100] + a2, where ‘(500 + a)’ is the number near 500 and ‘a’ is difference.
  2. Whenever the number is more than 500, the difference is written as positive (+ve).
  3. Whenever the number is less than 500, the difference is written as negative (-ve).

Related Shortcuts –

Squaring Numbers near 100 : (Sq) Nr100

Squaring Numbers near 1000 : (Sq) Nr1000

Squaring Numbers near 50 : (Sq) Nr50

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

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

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