Add multiples of powers of 10 crossing the millions boundary | Maths

Starter quiz

Match each equation to its sum.
- 600 + 300 =
  
  ⇔
  
  900 ✓
- 600 + 400 =
  
  ⇔
  
  1,000 ✓
- 600 + 500 =
  
  ⇔
  
  1,100 ✓
- 600 + 600 =
  
  ⇔
  
  1,200 ✓
- 600 + 700 =
  
  ⇔
  
  1,300 ✓
1,700 + ______ = 2,000
- '300' ✓
7,921,504 + 4,000 = ?
- 7,921,904
- 7,925,904
- 7,926,906
- 7,961,504
- 7,925,504 ✓
Complete: 4,505,607 + 400,000 = ______
- '4,905,607' ✓
Aisha and Lucas play a game. Lucas wins 900 points and Aisha wins 8,700 points. How many points do they have in total?
- ' 9,600' ✓
Lucas thinks of a number. His number is 561,000 more than 3,102,134 What number is Lucas thinking of?
- '3,663,134' ✓

If 800 plus 600 = 1,400, then 800 thousand and 600 thousand = ______ thousand
- '1,400' ✓
900,000 + 500,000 = ?
- 140,000
- 590,000
- 950,000
- 1,400,000 ✓
- 1,500,000
Match the equations to their sum.
- 800,000 + 300,000 =
  
  ⇔
  
  1,100,000 ✓
- 800,000 + 400,000 =
  
  ⇔
  
  1,200,000 ✓
- 1,800,000 + 500,000 =
  
  ⇔
  
  2,300,000 ✓
- 2,800,000 + 500,000 =
  
  ⇔
  
  3,300,000 ✓
- 3,800,000 + 600,000 =
  
  ⇔
  
  4,400,000 ✓
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
In a computer game, Aisha has 3,800,000 points and Lucas has 400,000. How many points do they have in total?
- '4,200,000' ✓
Lucas is thinking of a number. His number is 900,000 more than 6,700,000 What number is he thinking of?
- '7,600,000' ✓

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

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?

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.