Dear Year 7s,

Please find attached tasks you must complete on the topic ‘Place Values, Integers and Decimals’. Here are some instructions for you to follow:

• Show your working – even if your working shows you slowly losing hope.

• No copying – unless you’re copying your own genius ideas. Then carry on.

• Use a calculator wisely – it’s a tool, not a magic wish-granting device.

• Check your answers – If your answer is 1,000,000 and the question was “what’s 2 + 2?”, something has gone terribly wrong.

  Hand in on time – the bin monster gets grumpy when he has to eat late homework. Due date 10/11/2025.

• All the best!

Task 1 – Writing and Representing Numbers

• Write three different numbers in both words and figures (include at least one number with 6 digits).

• Explain how you know the value of each digit in one of your numbers.

• Use a place value chart to represent one of your numbers.

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Task 2 – Ordering and Comparing

• Create a list of at least five numbers between 4,000 and 5,000.

• Arrange them in ascending order and then in descending order.

• Explain how you decided which number was greater or smaller.

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Task 3 – Working with Decimals

• Write four decimal numbers that include tenths, hundredths, and thousandths.

• Show how to round each number to one and two decimal places.

• Explain what happens to a number when it is rounded up or down.

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Task 4 – Identifying Digit Values

• Choose any three numbers (they can include decimals).

• For each number, identify the place value and value of one chosen digit.
  (Example: In 5,308, the 3 is in the hundreds place and has a value of 300.)

• Explain why the same digit can represent different values in different numbers.

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Task 5 – Challenge (For Stretch)

• Use the digits 3, 5, 7, and 8 to make:

• The largest 4-digit number possible.

• The smallest 4-digit number possible.

• Find the difference between your two numbers.

• Explain how you used place value knowledge to decide their order.