Speed Math Squaring and Square Roots Squaring Numbers near 1000


Here’s an example of a SPEED MATH shortcut for SQUARING NUMBERS NEAR 1000 : (Sq) Nr1000 from the SQUARING AND SQUARE ROOTS category.

Squaring Numbers near 1000

When can I use this method?

For squaring numbers near 1000.

The number can be either < or > 1000.

One can use this method to square numbers away from 1000 as long as it is comfortable to square the difference portions.

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pdf Download Practice sheet for SQUARING NUMBERS NEAR 1000

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Notes –

  1. This method uses the concept (1000 + a)2 = [(1000 + a) + a] + a2, where ‘(1000 + a)’ is the number near 1000 and ‘a’ is the difference.
  2. Whenever the number is more than 1000, the difference is written as positive (+ve).
  3. Whenever the number is less than 1000, the difference is written as negative (-ve).
  4. This method is a corollary to the Multiplication method Nr1000

Related Shortcuts –

Squaring Numbers near 100 : (Sq) Nr100

Squaring Numbers near 50 : (Sq) Nr50

Squaring Numbers near 500 : (Sq) Nr500

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

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

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