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Year 7 · Maths · Place value and ordering · Lesson 1

Place value and ordering

Understand the value of digits in integers and decimals, compare and order numbers, and multiply and divide by powers of 10.

Whiteboard video lesson: Place value and ordering

23-minute video lesson

Teaching, worked examples and 20 practice questions solved step by step.

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What your child will learn

  • Find the value of a digit
  • Compare integers and decimals
  • Order numbers including negatives
  • Multiply and divide by 10, 100 and 1000
  • Read and write numbers

The method

  1. Use a place value chart.
  2. Compare from the left, column by column.
  3. Add zeros to decimals to compare: 0.5 = 0.50.
  4. × 10: digits move left. ÷ 10: digits move right.

Key words: place value, digit, decimal, order, tenths.

Worked examples

The first three practice questions from the lesson, with every step.

Question 1

What is the value of the digit 8 in 5381?

  1. Step 1: Use a place value chart
  2. Step 2: 8 tens = 80

Answer: 80

Question 2

What is the value of the digit 7 in 67,204?

  1. Step 1: Use a place value chart
  2. Step 2: 7 thousands = 7000

Answer: 7000

Question 3

What is the value of the digit 3 in 8.53?

  1. Step 1: Use a place value chart
  2. Step 2: 3 hundredths = 0.03

Answer: 0.03