ConceptsAll the ideas

Multiplication & Division

Idea 5of 24Builds onDouble, then double again

Split a fact into two you know

How can two easy facts make a hard one?

Today you'll discover

  • how to cut an array into two parts
  • which facts to pick
  • why the parts add up

Think first7 rows of 8: a hard fact

Which two facts you know add up to 7 × 8?

Decide first, then press Next. Look for a cut that leaves two easy facts.

7 rows of 8 dots. A dashed line cuts it after 5 rows: the top 5 rows orange, 5 × 8 = 40; the bottom 2 rows blue, 2 × 8 = 16. Then 40 + 16 gives 7 × 8 = 56. The last step shows 12 rows of 6.

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

The big idea

Split a fact into two facts you know, then add the two products.

Split, multiply, add

One hard fact becomes two easy ones.

  1. 5 × 840
  2. 2 × 816
  3. 7 × 856

Easy to get wrongSplit only one factor, and its parts must add back to it: 5 + 2 = 7.

Key word

distributive property
splitting one factor into parts, multiplying each part, then adding: 7 × 8 = 5 × 8 + 2 × 8

Ready to use it?

  • Split a fact into two facts you know.
  • Find a 7s or 12s fact from 5s, 2s and 10s.
Practise this idea