Subtraction Using An Expanded Method (part 1 of 5)

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Subtraction Using An Expanded Method (part 1 of 5)

  1. 1. Subtraction Of Whole Numbers Using An Expanded Method (the last step towards using a standard written method for subtraction) Part 1 of 5: Subtraction with no adjustment from the hundreds or tens For more maths help & free games related to this, visit: www.makemymathsbetter.com
  2. 2. The first stage of the expanded method is to partition the numbers. For example in the calculation: 798 – 452
  3. 3. The first stage of the expanded method is to partition the numbers. For example in the calculation: 798 – 452 798 is partitioned as 700 + 90 + 8
  4. 4. The first stage of the expanded method is to partition the numbers. For example in the calculation: 798 – 452 798 is partitioned as 700 + 90 + 8 And 452 is partitioned as 400 + 50 +2
  5. 5. The first stage of the expanded method is to partition the numbers. For example in the calculation: 798 – 452 798 is partitioned as 700 + 90 + 8 And 452 is partitioned as 400 + 50 +2 The hundreds are then placed under the hundreds, the tens under the tens and the units under the units:
  6. 6. The first stage of the expanded method is to partition the numbers. For example in the calculation: 798 – 452 798 is partitioned as 700 + 90 + 8 And 452 is partitioned as 400 + 50 +2 The hundreds are then placed under the hundreds, the tens under the tens and the units under the units: 700 _ 90 8 400 50 2
  7. 7. The first stage of the expanded method is to partition the numbers. For example in the calculation: 798 – 452 798 is partitioned as 700 + 90 + 8 And 452 is partitioned as 400 + 50 +2 The hundreds are then placed under the hundreds, the tens under the tens and the units under the units: 700 _ 90 8 400 50 2 6 Start by subtracting the units
  8. 8. The first stage of the expanded method is to partition the numbers. For example in the calculation: 798 – 452 798 is partitioned as 700 + 90 + 8 And 452 is partitioned as 400 + 50 +2 The hundreds are then placed under the hundreds, the tens under the tens and the units under the units: 700 _ 90 8 400 50 2 40 6 Next the tens
  9. 9. The first stage of the expanded method is to partition the numbers. For example in the calculation: 798 – 452 798 is partitioned as 700 + 90 + 8 And 452 is partitioned as 400 + 50 +2 The hundreds are then placed under the hundreds, the tens under the tens and the units under the units: Then the hundreds 700 _ 90 8 400 50 2 300 40 6
  10. 10. The first stage of the expanded method is to partition the numbers. For example in the calculation: 798 – 452 798 is partitioned as 700 + 90 + 8 And 452 is partitioned as 400 + 50 +2 The hundreds are then placed under the hundreds, the tens under the tens and the units under the units: 700 _ 90 8 400 50 2 300 + 40 + 6 = 346 Finally, add the numbers together to find the total
  11. 11. The first stage of the expanded method is to partition the numbers. For example in the calculation: 798 – 452 798 is partitioned as 700 + 90 + 8 And 452 is partitioned as 400 + 50 +2 The hundreds are then placed under the hundreds, the tens under the tens and the units under the units: 700 _ 90 8 400 50 2 300 + 40 + 6 = 346 When this can be performed confidently, it can be simplified to a standard written method:
  12. 12. The first stage of the expanded method is to partition the numbers. For example in the calculation: 798 – 452 798 is partitioned as 700 + 90 + 8 And 452 is partitioned as 400 + 50 +2 The hundreds are then placed under the hundreds, the tens under the tens and the units under the units: 700 _ 90 8 400 50 2 300 + 40 + 6 = 346 When this can be performed confidently, it can be simplified to a standard written method: 798 _ 452
  13. 13. The first stage of the expanded method is to partition the numbers. For example in the calculation: 798 – 452 798 is partitioned as 700 + 90 + 8 And 452 is partitioned as 400 + 50 +2 The hundreds are then placed under the hundreds, the tens under the tens and the units under the units: 700 _ 90 8 400 50 2 300 + 40 + 6 = 346 When this can be performed confidently, it can be simplified to a standard written method: 798 _ 452 6 As above, start with the units
  14. 14. The first stage of the expanded method is to partition the numbers. For example in the calculation: 798 – 452 798 is partitioned as 700 + 90 + 8 And 452 is partitioned as 400 + 50 +2 The hundreds are then placed under the hundreds, the tens under the tens and the units under the units: 700 _ 90 8 400 50 2 300 + 40 + 6 = 346 When this can be performed confidently, it can be simplified to a standard written method: 798 _ 452 46 Then the tens
  15. 15. The first stage of the expanded method is to partition the numbers. For example in the calculation: 798 – 452 798 is partitioned as 700 + 90 + 8 And 452 is partitioned as 400 + 50 +2 The hundreds are then placed under the hundreds, the tens under the tens and the units under the units: 700 _ 90 8 400 50 2 300 + 40 + 6 = 346 When this can be performed confidently, it can be simplified to a standard written method: 798 _ 452 346 And finally the hundreds
  16. 16. That’s it for now...... For more help with your maths, try my book: mastering multiplication tables on amazon.com

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