6. Apply — Learner Route

Step 6 · Apply

Use your facts inside bigger calculations

Times tables are tools. Once some facts are becoming reliable, use them to make harder calculations easier.

Example:

23 × 14 = 23 × 10 + 23 × 4
= 230 + 20 × 4 + 3 × 4
= 230 + 80 + 12
= 322
Have a try · Mental arithmetic

Use the facts you already know

Do these mentally. Do not set up a column multiplication. Break the numbers into useful pieces, use your times-table facts, then put the pieces back together.

7 × 132
The aim is not speed. Look for a clean mental route. For example, split 132 into 100 + 30 + 2, or split 23 × 14 into 23 × 10 + 23 × 4.

You do not need perfect recall before moving on. If you can either recall a useful fact or rebuild it reliably, you can already use it.

Practise in Times Tables Recall →

How to know you are making progress

  • You understand what a multiplication means.
  • You notice connections between facts.
  • If you forget one, you have a route instead of guessing.
  • More facts begin to come back without effort.
  • You can turn multiplication facts into division facts.
  • You use table facts to make bigger problems easier.
One last thing:

Working something out is not cheating. It is mathematics. Easy recall can grow with practice; you do not have to wait for it before you are allowed to think.

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