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Addition Subtraction Regrouping Algorithms
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Addition Subtraction Regrouping Algorithms
Use written algorithms to add and subtract whole numbers, regroup accurately, and explain your strategy.
Addition and subtraction
Set out each calculation in columns. Show where you regroup.
Thousands
Hundreds
Tens
Ones
1.Calculate 468 + 257. Show your regrouping.
2.Calculate 638 + 475. Show your regrouping.
3.Calculate 1,367 + 856. Show your regrouping.
4.Calculate 742 − 386. Show where you regroup.
5.Calculate 903 − 467. Show where you regroup.
6.Calculate 1,200 − 584. Show where you regroup.
Missing digits and harbour problems
Use place value and regrouping to work out each answer.
7.Find one possible pair of missing digits: 3□6 + 2□9 = 655.
8.Find one possible pair of missing digits: 7□2 − 3□8 = 354.
9.At a fishing harbour, Levi’s boat brought in 1,386 fish in the morning and 759 in the afternoon. How many fish did the boat bring in altogether?
10.A harbour store had 1,004 metres of rope. Freya’s crew used 587 metres. How many metres of rope were left?
Estimate, explain and extend
Estimate before calculating. Then check whether your answer makes sense.
11.Round 764 and 319 to the nearest hundred to estimate their sum. Then calculate the exact sum.
12.For 572 − 286, explain why regrouping is needed and describe one step in the subtraction.
13.Add 426 + 385 + 197. Show a strategy that makes the three-number addition easier.
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