# Year 4 Place Value – Counters

Recognise the place value of each digit in a four-digit number.

Counters worksheet (printable PDF)

Investigation: Counters

Place seven counters on the chart below to make a four-digit number.

What is this number?

Move one of the counters to make the smallest difference between this and the original number.
Move another counter to make the largest difference between this and the original number.

What is the smallest four-digit number you can make using the seven counters?
What is the largest four-digit number you can make using the seven counters?

Teachers, please read the notes below as some parameters may need to be included

Answers:

Moving one counter to make the smallest difference will depend on where the original counters are placed. For example, if the counters were placed to make the number 2,221, the smallest difference would be 9 changing the number to 2,230.
However if the number made was 7,000, the difference would be 900 as the number would be 6,100 (moving one counter).

This is the same in the opposite direction as well but generally, moving a counter from the tens to the ones (or vice-versa) would give a smaller difference compared to moving from a ones to a thousands which would make a bigger difference.

The smallest 4-digit number you can make would be 1,006 and the largest would be 7,000 however you may want to tell children that they need to put at least one counter in each column etc to develop their reasoning further.