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

When can I use this method?

For cubing numbers near 1000.

The number can be either < or > 1000.

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

Download Practice sheet for CUBING NUMBERS NEAR 1000

Notes –

1. This method uses the concept (1000 + a)3 = [(1000 + 3a) 10002] + [(3a2) 1000] + [a3], 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).

Related Shortcuts –

Cubing Numbers near 10: (Cub) Nr10
Cubing Numbers near 100: (Cub) Nr100
Cubing 2-digit Numbers near a Base: (Cub) NrB2
Cubing 3-digit Numbers near a Base: (Cub) NrB3
Cubing 4-digit Numbers near a Base: (Cub) NrB4

We hope this helps you in getting to the answer faster. You can apply this shortcut in the exams and get to the answer before anyone else can.

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