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Year 6

Composition of seven-digit numbers

I can explain how a 7-digit number can be composed.

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New
New
Year 6

Composition of seven-digit numbers

I can explain how a 7-digit number can be composed.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. Known facts and unitising can be applied when partitioning 7-digit numbers.
  2. If the missing part is an addend then the other addend is subtracted from the sum
  3. If the missing part is the subtrahend then the difference is subtracted from the minuend

Common misconception

Children may find it difficult to comprehend that e.g. 1,200,000 may have a digit '2' in the one hundred thousands place but is actually composed of 12 hundred thousands.

Even though the digit in the 100,000s place is a 2, the number 1,200,000 is composed of 12 hundred thousands because one million is composed of 10 hundred thousands.

Keywords

  • Addend - An addend is a number added to another to give a sum. The addends are the parts.

  • Minuend - The first number in a subtraction is known as the minuend. It is the whole amount.

  • Subtrahend - The number that is to be subtracted. The second number in a subtraction.

Use a place value chart to support children to see the composition of numbers.
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).

Video

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Starter quiz

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6 Questions

Q1.
What is the value of the digit ‘3’ in 13,405?
3
30
300
Correct answer: 3,000
30,000
Q2.
What is the digit ‘1’ worth in 13,405?
10
100
1,000
Correct answer: 10,000
100,000
Q3.
Complete the sentence: 23,406 is composed of ten thousands.
Correct Answer: 2, two
Q4.
Complete the missing number. 23,406 = 20,000 + + 400 + 6
Correct Answer: 3,000, 3000
Q5.
Aisha scores 2,000 points in a game. Lucas scores 700 points. How many more points does Aisha have? Aisha has more points than Lucas
Correct Answer: 1,300, 1300
Q6.
Aisha and Lucas score a total of 5,000 points in a game. Lucas scores 3,500 points. How many points does Aisha score? Aisha scores points.
Correct Answer: 1,500, 1500

Exit quiz

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6 Questions

Q1.
One million is composed of:
100 thousands
Correct answer: 1,000 thousands
10 hundreds
100 hundreds
Correct answer: 10 one-hundred thousands
Q2.
Match the expressions that have the same value.
Correct Answer:1,000,000,1,000 thousands

1,000 thousands

Correct Answer:100,000,100 thousands

100 thousands

Correct Answer:10,000,100 hundreds

100 hundreds

Correct Answer:1,000,10 hundreds

10 hundreds

Correct Answer:100,10 tens

10 tens

Q3.
1,230,902 is composed of hundred thousands.
Correct Answer: 12, twelve
Q4.
Complete: 1,230,902 = + 900 + 2
Correct Answer: 1,230,000
Q5.
Lucas and Aisha play a game. In total they have scored 2,000,000 points. 680,000 points have been scored by Lucas. How many points did Aisha score?
Correct Answer: 1,320,000, 1320000
Q6.
In his game, Lucas has won 8,000,000 points. He spends some of his points buying new building resources. He has 5,900,000 points left. How many points did he spend?
Correct Answer: 2,100,000, 2100000