New
New
Year 6

Add multiples of powers of 10 crossing the millions boundary

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

New
New
Year 6

Add multiples of powers of 10 crossing the millions boundary

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

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Lesson details

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?

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.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), 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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6 Questions

Q1.
Match each equation to its sum.
Correct Answer:600 + 300 = ,900

900

Correct Answer:600 + 400 = ,1,000

1,000

Correct Answer:600 + 500 = ,1,100

1,100

Correct Answer:600 + 600 = ,1,200

1,200

Correct Answer:600 + 700 = ,1,300

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

1,100,000

Correct Answer:800,000 + 400,000 =,1,200,000

1,200,000

Correct Answer:1,800,000 + 500,000 = ,2,300,000

2,300,000

Correct Answer:2,800,000 + 500,000 = ,3,300,000

3,300,000

Correct Answer:3,800,000 + 600,000 = ,4,400,000

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