Speed Math Squaring and Square Roots Squaring Numbers near 100


Here’s an example of a SPEED MATH shortcut for SQUARING NUMBERS NEAR 100 : (Sq) Nr100 from the SQUARING AND SQUARE ROOTS category.

Squaring Numbers near 100

When can I use this method?

For squaring numbers near 100.

The number can be either < or > 100.

One can use this method to square numbers away from 100 as long as it is comfortable to square the difference portions.

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pdf Download Practice sheet for SQUARING NUMBERS NEAR 100

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Notes –

  1. This method uses the concept (100 + a)2 = [(100 + a) + a] + a2, where ‘(100 + a)’ is the number near 100 and ‘a’ is the difference.
  2. Whenever the number is more than 100, the difference is written as positive (+ve).
  3. Whenever the number is less than 100, the difference is written as negative (-ve).
  4. This method is a corollary to the Multiplication method Nr100

Related Shortcuts –

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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