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The closer neighbour

Idea 11of 23Builds onAfter 0.99 comes 1.00

One place right: one tenth as much

What happens to a digit when it moves one place right?

Today you'll discover

  • how 5, 0.5 and 0.05 are linked
  • what moving left does
  • how many 0.05s make 5

Think first5, then 0.5, then …

5 moved one place right is 0.5. What is 0.5 moved one more place right?

Decide first, then press Next. Follow the 5 from row to row.

A place-value chart with three rows: 5, 0.5 and a hidden third row. Curved arrows marked ÷ 10 carry the 5 one place right each row, and the third row shows 0.05. Then zeros fill each row: 5.00, 0.50, 0.05. A note says each row up is 10 times as much, and a bracket marks ÷ 100 from top to bottom. The last step uses 3 and 0.3.

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

The big idea

One place right, a digit is worth one tenth as much; one place left, 10 times as much.

100 nickels in $5

0.05 is one hundredth of 5. That is why 100 nickels ($0.05 each) make $5.00.

  1. Ones5
  2. Tenths0.5
  3. Hundredths0.05

Easy to get wrongAdding a zero at the end does not move a digit: 0.5 and 0.50 are equal. Only a new place changes the value.

Key word

place value
what a digit is worth because of where it sits: the 5 in 0.05 is 5 hundredths

Ready to use it?

  • Say what a digit is worth after it moves one place.
  • Find one tenth of a decimal.
Practise this idea