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Idea 22of 24Builds onSplit the parts: same amount, new nameMultiply the top and bottom by the same number

Tenths and hundredths as decimals

How is 3/10 written as a decimal?

Today you'll discover

  • what one column and one square are
  • why 3/10 = 30/100
  • how to write hundredths as a decimal

Think firstA grid of 100 squares, some shaded

What fraction of the grid is shaded?

Decide first, then press Next. Count the full columns, then the squares.

A hundred grid with three full columns shaded. The columns are outlined as tenths, then 3/10 = 30/100 and 0.3 = 0.30 are written. Then a grid with 47 squares shaded, named 47/100 and 0.47. The last step shows a grid with only 8 squares shaded.

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

The big idea

One tenth is 1/10 or 0.1, and one hundredth is 1/100 or 0.01.

Easy to get wrong0.8 and 0.08 are not the same. 0.8 is 8 tenths (80 squares); 0.08 is 8 hundredths (8 squares).

MoneyA dime is 1/10 of a dollar: $0.10. A quarter is 25/100 of a dollar: $0.25.

Key words

tenth
one of 10 equal parts of a whole: 1/10, written 0.1
hundredth
one of 100 equal parts of a whole: 1/100, written 0.01

Ready to use it?

  • Write tenths and hundredths as decimals.
  • Shade a decimal on a hundred grid.
Practise this idea