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

Starter quiz

Match the equation to the correct difference.
- 1,600 − 500 =
  
  ⇔
  
  1,100 ✓
- 1,600 − 600 =
  
  ⇔
  
  1,000 ✓
- 1,600 − 700 =
  
  ⇔
  
  900 ✓
- 1,600 − 800 =
  
  ⇔
  
  800 ✓
- 1,600 − 900 =
  
  ⇔
  
  700 ✓
1,700 − ______ = 900
- '800' ✓
Match the number word to its numeral.
- 19 hundreds
  
  ⇔
  
  1,900 ✓
- 19 thousands
  
  ⇔
  
  19,000 ✓
- 19 tens
  
  ⇔
  
  190 ✓
- 19 ones
  
  ⇔
  
  19 ✓
- 19 ten thousands
  
  ⇔
  
  190,000 ✓
Complete: 1,603,690 − 400,000 = ______
- '1,203,690 ' ✓
Aisha and Lucas play a game. Lucas wins 800 points and Aisha wins 4,200 points. How many more points does Aisha have?
- '3,400' ✓
Lucas thinks of a number. His number is 600 less than 9,200 what is the number that he is thinking of?
- '8,600' ✓

Match the subtraction equations to the difference.
- 1,400,000 − 400,000 =
  
  ⇔
  
  1,000,000 ✓
- 1,400,000 − 500,000 =
  
  ⇔
  
  900,000 ✓
- 1,400,000 − 600,000 =
  
  ⇔
  
  800,000 ✓
- 1,400,000 − 700,000 =
  
  ⇔
  
  700,000 ✓
- 1,400,000 − 800,000 =
  
  ⇔
  
  600,000 ✓
6,300,000 − 800,000 = ______
- '5,500,000' ✓
Match the subtraction equation to the correct difference.
- 4,000,000 − 1,000,000 =
  
  ⇔
  
  3,000,000 ✓
- 4,000,000 − 100,000 =
  
  ⇔
  
  3,900,000 ✓
- 4,000,000 − 10,000 =
  
  ⇔
  
  3,990,000 ✓
- 4,000,000 − 1,000 =
  
  ⇔
  
  3,999,000 ✓
7,000,000 − 50,000 = ______
- '6,950,000' ✓
Aisha is thinking of a number. Her number is 500,000 less than 3,200,000 What number is she thinking of?
- 2,700,000 ✓
- 3,150,000
- 3,250,000
- 3,700,000
Lucas has scored 5,000,000 points during his computer game. He then gets captured and loses seventy thousand points. How many points does he have now?
- 5,070,000
- 5,700,000
- 4,300,000
- 4,930,000 ✓

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Powers of 10 and their multiples can be subtracted using the language of unitising.
Known facts can be used alongside unitising to subtract powers of 10 and their multiples.
Subtraction 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’.
Power of 10 - A power of 10 is when 10 is multiplied by itself a certain number of times.