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The closer neighbour

Idea 23of 23Builds onRounded numbers can hide a difference

Which numbers round to 4.3?

What numbers could have been rounded to 4.3?

Today you'll discover

  • where the stretch around 4.3 starts
  • where it ends
  • why 4.35 is not in it

Think firstWhich numbers round to 4.3?

Which of these rounds to 4.3, to the nearest tenth?

Decide first, then press Next. Find the halfway mark on each side.

A number line from 4.2 to 4.4 with 4.3 ringed and the question which numbers round to 4.3. Dashed halfway marks appear at 4.25 and 4.35. A stretch from 4.25 to 4.34 is shaded, and its ends are labelled: 4.25 up to 4.34 all round to 4.3. The last step asks the same about 0.7.

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

The big idea

The numbers that round to 4.3 run from the halfway mark below it, 4.25, up to 4.34.

Every tenth has a stretch

0.65 to 0.74 rounds to 0.7. 4.25 to 4.34 rounds to 4.3. Each stretch is 10 hundredths long.

  1. 0.70.65 to 0.74
  2. 4.34.25 to 4.34

Where it goes nextA measurement reported as 4.3 m could be any length in that stretch, up to 5 hundredths either way.

Key word

range
the stretch of numbers from the smallest to the largest that fit a rule

Ready to use it?

  • List decimals that round to a given tenth.
  • Find the smallest and largest that round to it.
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