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Ratios, Rates & Smart Shopping

Idea 5of 22Builds onThree ways to write a ratio

The order of a ratio matters

Does it matter which number of a ratio comes first?

Today you'll discover

  • how the words set the order
  • why 3 : 2 and 2 : 3 differ
  • how to turn a ratio round

Think firstOrange to blue is 3 : 2

What is the ratio of blue counters to orange counters?

Decide first, then press Next. Read the words before the numbers.

3 orange circles and 2 blue squares with the line orange to blue equals 3 to 2, then the line blue to orange equals 2 to 3. Then a tray of 2 orange and 3 blue, mostly blue; then 5 orange and 2 blue written both ways. The last step shows 1 orange and 4 blue.

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

The big idea

The order of a ratio matters: the amount named first has its term first.

Easy to get wrong3 : 2 and 2 : 3 are not the same. 3 orange for every 2 blue is mostly orange; 2 orange for every 3 blue is mostly blue.

Juice1 cup of juice for every 4 cups of water is juice to water, 1 : 4. Water to juice is 4 : 1.

Key word

order of a ratio
which amount is named first; its number is written first

Ready to use it?

  • Write a ratio in the order the words give.
  • Turn a ratio round when the question turns round.
Practise this idea