Here’s an example of a SPEED MATH shortcut for SQUARING NUMBERS NEAR 1000 : (Sq) Nr1000 from the SQUARING AND SQUARE ROOTS category.
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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Download Practice sheet for SQUARING NUMBERS NEAR 1000
- 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.
- Whenever the number is more than 1000, the difference is written as positive (+ve).
- Whenever the number is less than 1000, the difference is written as negative (-ve).
- 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