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Grouping Addition to 1000
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Grouping Addition to 1000
At the school radio station, Charlie and Dylan are sorting equipment and recording listener numbers. Use place-value grouping to add accurately. Show your working where asked.
Group by place value
Partition each number into hundreds, tens and ones. Then combine matching place values.
1.The station has 347 headphones. Write 347 as hundreds + tens + ones.
2.Dylan counted 526 music files. Write 526 as hundreds + tens + ones.
3.Which plan correctly groups 284 + 139 by place value?
- (200 + 100) + (80 + 30) + (4 + 9)
- (2 + 1) + (8 + 3) + (4 + 9)
- 284 + 100 + 30 + 9
4.Solve 456 + 278 by grouping: (400 + 200) + (50 + 70) + (6 + 8). Write the three grouped totals, then the final answer.
Radio station number challenge
Use grouping, regrouping or a helpful adjustment. Keep your work clear.
5.The station received 345 listener messages on Monday and 287 on Tuesday. How many messages arrived altogether? Show a grouping method.
6.Mason packed 567 spare cables. Charlie packed 298 more. Use a helpful adjustment to find the total: think of 298 as 300 − 2.
7.A caller count is 418 in the morning and 276 in the afternoon. True or false: grouping the hundreds, tens and ones gives 600 + 80 + 14 before the final regrouping.
TrueFalse
8.Complete the regrouping for 600 + 80 + 14. Write the total.
9.The station wants to check 359 + 226. Choose the correct total, then explain briefly how you can check it by grouping.
- 575
- 585
- 595
10.Explain in one or two sentences why grouping hundreds, tens and ones helps you add accurately.
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