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Idea 1of 23

Tenths: one whole cut into 10

What does the first digit after a decimal point count?

Today you'll discover

  • what one tenth of a whole looks like
  • how to write 3 tenths as a decimal
  • why 0.3 and 3/10 are the same

Think firstOne whole square, cut into 10 equal strips

The square is 1 whole. What is one strip of it worth?

Decide first, then press Next. Count the strips, and keep the whole square in mind.

A large square marked 1 whole, cut by upright lines into 10 equal strips. Then 3 strips are shaded, with the words 3 tenths, and the decimal 0.3 is written beside it, then = 3/10. The last step shows 7 strips shaded.

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

The big idea

The first place after the decimal point counts tenths: one whole cut into 10 equal parts.

Three ways to say it

3 strips out of 10 equal strips is 3 tenths, 3/10 or 0.3. All three name the same amount.

  1. In words3 tenths
  2. Fraction3/10
  3. Decimal0.3

Easy to get wrongThe parts must be equal. 10 strips of different widths would not be tenths.

Key words

tenth
one of 10 equal parts of a whole, written 0.1 or 1/10
decimal point
the dot that sits just right of the ones place; the places after it are parts of a whole

Ready to use it?

  • Write the shaded part of a whole as a decimal.
  • Place a tenth on a number line.
Practise this idea