ConceptsAll the ideas

Patterns & Rules

Idea 8of 21Builds onPatterns that times by 10

Number strings for 7

How can one fact you know help with tens, tenths and hundredths?

Today you'll discover

  • how 3 + 4 = 7 moves through the places
  • the same for take-away
  • how multiplying and dividing are partners

Think firstStart from a fact you know: 3 + 4 = 7

3 + 4 = 7. What is 30 + 40?

Decide first, then press Next. Look at what stays the same from line to line.

A column of number sentences: 3 + 4 = 7, then 30 + 40 = 70, then 0.3 + 0.4 = 0.7, then 0.03 + 0.04 = 0.07, each answer appearing in turn. The last step shows 7 × 3 = 21, 21 ÷ 3 = 7, 7 × 30 = 210 and 210 ÷ 30 = a question mark.

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

The big idea

One fact you know gives a whole string of facts: only the place of the digits changes.

One fact, moving

The same fact, moved through the places.

  1. ones3 + 4 = 7
  2. tens30 + 40 = 70
  3. tenths0.3 + 0.4 = 0.7
  4. hundredths0.03 + 0.04 = 0.07

Compare themMultiplying and dividing are partners: 7 × 3 = 21, so 21 ÷ 3 = 7 and 21 ÷ 7 = 3.

Key word

number string
a list of related number facts, each built from the one before

Ready to use it?

  • Use a fact you know to add or subtract tenths and hundredths.
  • Write the division partner of a multiplication fact.
Practise this idea