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      Add multiples of powers of 10 crossing the millions boundary

      Lesson details

      Learning outcome

      I can add multiples of powers of 10 crossing the millions boundary.

      Key learning points

      1. Powers of 10 and their multiples can be added using the language of unitising.
      2. Known facts can be used alongside unitising to add powers of 10 and their multiples.
      3. Addition of powers of 10 and their multiples can be represented on a number line.

      Keywords

      • Million - One million is composed of one thousand thousands. 1,000 × 1,000 = 1,000,000 We write one million as a one followed by six zeros.

      • Unitise - When we unitise, we treat groups that contain, or represent, the same numbers of things as ‘units’ or ‘ones’. Being able to unitise is key in understanding place value.

      Common misconception

      Children may struggle with the language of unitising.

      Encourage children to read aloud and spot what they notice - which known fact can they see - what is the same/different?

      Teacher tip

      Children need to be secure with known number facts to 20 to ensure they can unitise successfully minimising overload. Children need to be aware of the additive structure and that if one addend remains the same and the other addend increases by an amount then the sum will increase by the same amount.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      Match each equation to its sum.

      Correct Answer:600 + 300 = ,900
      Correct Answer:600 + 400 = ,1,000
      Correct Answer:600 + 500 = ,1,100
      Correct Answer:600 + 600 = ,1,200
      Correct Answer:600 + 700 = ,1,300

      Q2.
      1,700 + = 2,000

      Correct Answer: 300, 3 hundred, three hundred

      Q3.
      7,921,504 + 4,000 = ?

      7,921,904
      7,925,904
      7,926,906
      7,961,504
      Correct answer: 7,925,504

      Q4.
      Complete: 4,505,607 + 400,000 =

      Correct Answer: 4,905,607, 4905607

      Q5.
      Aisha and Lucas play a game. Lucas wins 900 points and Aisha wins 8,700 points. How many points do they have in total?

      Correct Answer: 9,600, 9600

      Q6.
      Lucas thinks of a number. His number is 561,000 more than 3,102,134 What number is Lucas thinking of?

      Correct Answer: 3,663,134, 3663134

      6 Questions

      Q1.
      If 800 plus 600 = 1,400, then 800 thousand and 600 thousand = thousand

      Correct Answer: 1,400, 1400

      Q2.
      900,000 + 500,000 = ?

      140,000
      590,000
      950,000
      Correct answer: 1,400,000
      1,500,000

      Q3.
      Match the equations to their sum.

      Correct Answer:800,000 + 300,000 = ,1,100,000
      Correct Answer:800,000 + 400,000 =,1,200,000
      Correct Answer:1,800,000 + 500,000 = ,2,300,000
      Correct Answer:2,800,000 + 500,000 = ,3,300,000
      Correct Answer:3,800,000 + 600,000 = ,4,400,000

      Q4.
      Starting with the expression with the smallest sum, put these in order of their sum.

      1 - 700,000 + 500,000
      2 - 700,000 + 800,000
      3 - 1,700,000 + 400,000
      4 - 1,700,000 + 600,000
      5 - 2,700,000 + 400,000

      Q5.
      In a computer game, Aisha has 3,800,000 points and Lucas has 400,000. How many points do they have in total?

      Correct Answer: 4,200,000, 4200000

      Q6.
      Lucas is thinking of a number. His number is 900,000 more than 6,700,000 What number is he thinking of?

      Correct Answer: 7,600,000, 7600000

      To help you plan your 6 maths lesson on: Add multiples of powers of 10 crossing the millions boundary, download all teaching resources for free and adapt to suit your pupils' needs...