Let’s solve the worksheet step by step using the number
270,198.
First, let’s write out the place values for each digit in
270,198, from left to right:
```
Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones
2 | 7 | 0 | 1 | 9 | 8
```
So the number is:
2 × 100,000 + 7 × 10,000 + 0 × 1,000 + 1 × 100 + 9 × 10 + 8 × 1
---
Now let’s answer each question:
---
1. The place value for 2 is __________.
- The digit
2 is in the
hundred thousands place.
- So its
place value is
100,000 (because it’s in the hundred thousands place).
✔ Answer: 100,000
---
2. The digit value for 7 is __________.
- The digit
7 is in the
ten thousands place.
- Its
digit value means the actual value it contributes:
7 × 10,000 = 70,000
✔ Answer: 70,000
> 💡 Note: “Digit value” usually means the value of the digit *in its place* — so 7 in ten thousands place = 70,000.
---
3. Digit at the hundreds place is __________.
- Looking at the number:
270,198
- From right to left:
- Ones: 8
- Tens: 9
-
Hundreds: 1
✔ Answer: 1
---
4. __________ is the digit value for 9.
- The digit
9 is in the
tens place.
- So its digit value is
9 × 10 = 90
✔ Answer: 90
---
5. __________ is the place value for 8.
- The digit
8 is in the
ones place.
- So its
place value is
1 (since ones place = 1)
✔ Answer: 1
---
6. Digit at the thousands place is __________.
- In
270,198, the digits are:
- Hundred Thousands: 2
- Ten Thousands: 7
-
Thousands: 0
- Hundreds: 1
- Tens: 9
- Ones: 8
✔ Answer: 0
---
**7. Write the expanded form:
______ + ______ + ______ + ______ + ______ + ______**
Expanded form means writing the number as the sum of each digit’s value based on its place.
From earlier:
- 2 × 100,000 =
200,000
- 7 × 10,000 =
70,000
- 0 × 1,000 =
0 → we can skip this or write it, but typically we omit 0s unless required.
- 1 × 100 =
100
- 9 × 10 =
90
- 8 × 1 =
8
So expanded form:
200,000 + 70,000 + 100 + 90 + 8
✔ Answer: 200,000 + 70,000 + 100 + 90 + 8
*(Note: Some teachers may expect the 0,000 term included — but since it’s zero, it doesn’t change the value and is often omitted.)*
---
✔ Final Answers:
1.
100,000
2.
70,000
3.
1
4.
90
5.
1
6.
0
7.
200,000 + 70,000 + 100 + 90 + 8
---
Let me know if you’d like a visual chart or explanation for younger learners!
Parent Tip: Review the logic above to help your child master the concept of place value sheets for grade 5.
