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Working with Millions & Thousands

Drop the zeros, calculate with small numbers, restore scale.

When to use

Any operation involving large numbers (millions, thousands).

Steps

  1. 1.Express in shorthand: 3,840,000 → 3.84M or 384 x 10K
  2. 2.Perform the operation on the simplified number
  3. 3.Restore the scale

Example: 3,840,000 / 4

3,840,000 = 384 x 10,000

384 / 4 = 96

96 x 10,000 = 960,000

Mental approach

Always talk in 'M' or 'K'. '3.84M / 4 = 0.96M = 960K'.

Pen & paper approach

Write the number in shorthand, calculate, convert back.

Tips

  • •Practice converting: 9,150,000 = 9.15M = 915 x 10K
  • •When multiplying: 9.15M x 9 ≈ 9 x 9 = 81M, then adjust
  • •Keep track of zeros — off by 10x is a common mistake

Try it yourself

4,500,000 x 3

7,200,000 / 8

2,800,000 x 5