Here’s an example of a SPEED MATH shortcut for CUBING 3-DIGIT NUMBERS NEAR A BASE: (Cub) NrB3 from the CUBING AND CUBE ROOTS category.

Cubing 3-digit Numbers near a Base

When can I use this method?

For cubing any 3-digit numbers.

The number can be either < or > a Base number.

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pdf Download Practice sheet for CUBING 3-DIGIT NUMBERS NEAR A BASE

Notes –

  1. When selecting a Base number, prefer a number that is near the number to be squared as well as it should be easy to multiply with (prefer round numbers).
  2. This method uses the concept (B + a)3 = [(B + 3a) B2] + [(3a2) B] + [a3], where ‘(B + a)’ is the number to be squared, ‘B’ is the Base number and ‘a’ is the difference.
  3. Whenever the number is more than the Base number, the difference is written as positive (+ve).
  4. Whenever the number is less than Base Number, the difference is written as negative (-ve).

Related Shortcuts –

Cubing Numbers near 10: (Cub) Nr10
Cubing Numbers near 100: (Cub) Nr100
Cubing Numbers near 1000: (Cub) Nr1000
Cubing 2-digit Numbers near a Base: (Cub) NrB2
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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