Let's solve the worksheet step by step.
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A. Write each number in expanded form.
We break down each number into its place values: ones, tens, hundreds, thousands, etc.
1.
567
- 5 is in the
hundreds place → 500
- 6 is in the
tens place → 60
- 7 is in the
ones place → 7
→
500 + 60 + 7
2.
7,921
- 7 is in the
thousands place → 7,000
- 9 is in the
hundreds place → 900
- 2 is in the
tens place → 20
- 1 is in the
ones place → 1
→
7,000 + 900 + 20 + 1
3.
9,345
- 9 → 9,000 (thousands)
- 3 → 300 (hundreds)
- 4 → 40 (tens)
- 5 → 5 (ones)
→
9,000 + 300 + 40 + 5
4.
62,854
- 6 → 60,000 (ten thousands)
- 2 → 2,000 (thousands)
- 8 → 800 (hundreds)
- 5 → 50 (tens)
- 4 → 4 (ones)
→
60,000 + 2,000 + 800 + 50 + 4
5.
81,763
- 8 → 80,000 (ten thousands)
- 1 → 1,000 (thousands)
- 7 → 700 (hundreds)
- 6 → 60 (tens)
- 3 → 3 (ones)
→
80,000 + 1,000 + 700 + 60 + 3
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B. Write the number for each expanded form.
Now we add the values together to get the standard form.
1.
300 + 8 =
→ 300 + 8 =
308
2.
4,000 + 700 + 50 + 2 =
→ 4,000 + 700 = 4,700
→ 4,700 + 50 = 4,750
→ 4,750 + 2 =
4,752
3.
6,000 + 900 + 30 + 5 =
→ 6,000 + 900 = 6,900
→ 6,900 + 30 = 6,930
→ 6,930 + 5 =
6,935
4.
50,000 + 2,000 + 100 + 70 + 6 =
→ 50,000 + 2,000 = 52,000
→ 52,000 + 100 = 52,100
→ 52,100 + 70 = 52,170
→ 52,170 + 6 =
52,176
5.
90,000 + 8,000 + 600 + 40 + 1 =
→ 90,000 + 8,000 = 98,000
→ 98,000 + 600 = 98,600
→ 98,600 + 40 = 98,640
→ 98,640 + 1 =
98,641
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✔ Final Answers:
####
A. Expanded Form
1. 567 =
500 + 60 + 7
2. 7,921 =
7,000 + 900 + 20 + 1
3. 9,345 =
9,000 + 300 + 40 + 5
4. 62,854 =
60,000 + 2,000 + 800 + 50 + 4
5. 81,763 =
80,000 + 1,000 + 700 + 60 + 3
####
B. Standard Form
1. 300 + 8 =
308
2. 4,000 + 700 + 50 + 2 =
4,752
3. 6,000 + 900 + 30 + 5 =
6,935
4. 50,000 + 2,000 + 100 + 70 + 6 =
52,176
5. 90,000 + 8,000 + 600 + 40 + 1 =
98,641
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Let me know if you'd like this formatted as a printable answer sheet! 🎉
Parent Tip: Review the logic above to help your child master the concept of place value worksheet expanded notation.
