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Place Value Mental Addition
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Name:Date:
Place Value Mental Addition
Use place value to rename numbers, choose mental addition strategies, and explain your thinking. Show working where requested.
Place value and renaming
Ten thousands
Thousands
Hundreds
Tens
Ones
4
2
6
3
8
1.Which expanded form represents 42,638?
- 40,000 + 2,000 + 600 + 30 + 8
- 4,000 + 2,000 + 600 + 30 + 8
- 42,000 + 60 + 38
- 40,000 + 200 + 600 + 30 + 8
2.Select every correct way to rename 27,415.
- 20,000 + 7,000 + 400 + 10 + 5
- 27,000 + 415
- 2,000 + 7,000 + 400 + 10 + 5
- Twenty-seven thousand, four hundred and fifteen
3.Write 63,284 in expanded form, showing the value of each digit.
4.Write 50,000 + 8,000 + 300 + 40 + 7 as one number.
5.Match each number to its correct expanded form.
- 35,206
- 74,912
- 18,540
- 92,071
- 30,000 + 5,000 + 200 + 6
- 90,000 + 2,000 + 70 + 1
- 70,000 + 4,000 + 900 + 10 + 2
- 10,000 + 8,000 + 500 + 40
Mental addition strategies
6.Which strategy is a good fit for adding 58 + 27?
- Round 58 to 60, then adjust the total
- Use a doubles fact because both numbers are equal
- Count backwards from 58
- Multiply 58 by 27
7.Use a near-doubles strategy to work out 46 + 47. Show how you used a doubles fact.
8.Partition both numbers into hundreds, tens and ones, then add 368 + 251.
9.Use the number line to add 36 + 28. Write the total.
10.Find each sum mentally. For each one, name a useful strategy and give the answer: 29 + 31; 76 + 19; 245 + 132.
11.Work out 2,450 + 1,380 by adding the thousands, hundreds, tens and ones. Show your mental steps.
Explain your thinking
12.Why can expanded form make a large number easier to understand? Include a place-value example in your explanation.
13.Explain how splitting a number into parts can help you add mentally. Use 47 + 35 as your example.
14.Challenge: Write three different expanded forms for 36,482. Each form must equal the same number.
3 printable pages
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