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Multiplying and dividing by powers of ten

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The question

1.2 × 100

1.2×100
12
120
  1. 100 is 10 × 10, so there are 2 moves to make — one for each ten.
  2. × 10 — every digit is worth ten times as much, so the point moves one place right: 12.
  3. × 10 again: 120. The digits stay the same — only the point moves. 1.2 × 100 = 120.

How it works.

  1. 01

    100 is 10 × 10, so there are 2 moves to make — one for each ten.

  2. 02

    × 10 — every digit is worth ten times as much, so the point moves one place right: 12.

  3. 03

    × 10 again: 120. The digits stay the same — only the point moves. 1.2 × 100 = 120.

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