Let's solve the problem step by step using the number
270,198.
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Step 1: Understand the place values
Break down the number
270,198 by place value:
| Digit | Place Value |
|-------|-------------------|
| 2 | Hundred Thousands |
| 7 | Ten Thousands |
| 0 | Thousands |
| 1 | Hundreds |
| 9 | Tens |
| 8 | Ones |
So:
- 2 → 2 × 100,000 = 200,000
- 7 → 7 × 10,000 = 70,000
- 0 → 0 × 1,000 = 0
- 1 → 1 × 100 = 100
- 9 → 9 × 10 = 90
- 8 → 8 × 1 = 8
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Now let’s answer each question:
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1. The place value for 2 is ____________.
The digit
2 is in the
hundred thousands place.
✔ Answer: hundred thousands
---
2. The digit value for 7 is ____________.
The
digit value is the actual value of the digit in its place.
7 is in the
ten thousands place → 7 × 10,000 =
70,000
✔ Answer: 70,000
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3. Digit at the hundreds place is ____________.
Look at the digit in the
hundreds place → it's
1
✔ Answer: 1
---
4. ____________ is the digit value for 9.
Digit
9 is in the
tens place → 9 × 10 =
90
✔ Answer: 90
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5. ____________ is the place value for 8.
Digit
8 is in the
ones place.
✔ Answer: ones
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6. Digit at the thousands place is ____________.
The digit in the
thousands place is
0
✔ Answer: 0
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7. Write the expanded form:
We break the number into the sum of each digit's value:
- 200,000 (from 2)
- 70,000 (from 7)
- 0 (from 0)
- 100 (from 1)
- 90 (from 9)
- 8 (from 8)
So, expanded form:
200,000 + 70,000 + 0 + 100 + 90 + 8
But we usually omit the zero unless required.
✔ Answer: 200,000 + 70,000 + 0 + 100 + 90 + 8
Alternatively, you can write it as:
200,000 + 70,000 + 100 + 90 + 8
(Both are acceptable; including 0 shows completeness.)
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✔ Final Answers:
1.
hundred thousands
2.
70,000
3.
1
4.
90
5.
ones
6.
0
7.
200,000 + 70,000 + 0 + 100 + 90 + 8
*(or)*
200,000 + 70,000 + 100 + 90 + 8
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Parent Tip: Review the logic above to help your child master the concept of place value worksheet for grade 5.
