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Addition by Partitioning Numbers
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Addition by Partitioning Numbers
Partition three-digit numbers into hundreds, tens and ones, then use the parts to add. Estimate to check that your answer is reasonable.
Partitioning practice
Write each number as hundreds + tens + ones.
1.Partition 326 into hundreds, tens and ones.
2.Partition 705 into hundreds, tens and ones.
3.Which expression shows 492 partitioned into hundreds, tens and ones?
- 400 + 90 + 2
- 400 + 9 + 2
- 40 + 90 + 2
- 490 + 20
4.Select every step that can help when adding by partitioning.
- Split each number into place-value parts.
- Add the hundreds, tens and ones parts.
- Combine the partial totals to find the sum.
- Ignore the ones if they seem small.
Add by partitioning
Show how the place-value parts combine. Regroup parts when needed.
5.Use partitioning to find 253 + 124. Show the hundreds, tens and ones totals, then combine them.
6.Find 368 + 215 by partitioning. Include your working.
7.Find 475 + 286 by partitioning. Regroup the ones or tens if needed, and show your working.
8.Evie's community group collected 238 plastic bottles on Saturday and 347 on Sunday. How many bottles did they collect altogether? Use partitioning and include a quick estimate to check your answer.
Challenge and reflection
Explain your thinking clearly.
9.Create an addition problem using two three-digit numbers. Solve it by partitioning and explain how an estimate shows your answer is sensible.
10.In your own words, explain one way partitioning can help you add two three-digit numbers.
3 printable pages
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