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Multiplication & Division

Idea 6of 24Builds onSplit a fact into two you know

Nines from tens

How does 10 × 7 help you find 9 × 7?

Today you'll discover

  • why 9 rows is one row short of 10
  • what to take away
  • how 11s work from 10s

Think first9 rows of 7 dots

10 × 7 = 70. What is 9 × 7?

Decide first, then press Next. Find the nearby ten fact, then fix it by one row.

9 rows of 7 dots. Then a dashed ghost row of 7 appears under them, crossed out, with 10 × 7 = 70 and take away a row on the right. Then 70 − 7 gives 9 × 7 = 63. The last step shows 9 rows of 8.

See the whole ideathe big idea and the key word, in one place

The big idea

Use a nearby fact you know, then add or take away the difference.

11s and 12s11s and 12s work from 10s too: 11 × 6 = 60 + 6 = 66, and 12 × 6 = 60 + 12 = 72.

Easy to get wrongTake away a whole row, not 1: 9 × 7 = 70 − 7, not 70 − 1.

Key word

compensation
using a nearby fact you know, then fixing the difference: 9 × 7 = 10 × 7 − 7

Ready to use it?

  • Find a 9s fact from a 10s fact.
  • Pick the strategy that makes a fact easiest.
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