Let's solve each problem step by step. In each number, a digit is underlined (indicated by the arrow). We need to determine:
1.
What place the selected digit is in (e.g., ones, tens, hundreds, etc.)
2.
What value the selected digit has (e.g., 500 for a 5 in the hundreds place)
We'll go through each one:
---
1) 86,815.739
Selected digit:
7
- Place:
Tenths (first digit after decimal)
- Value:
0.7
>
✔ Place: Tenths
>
✔ Value: 0.7
---
2) 36,363.222
Selected digit:
2 (first one after decimal)
- Place:
Tenths
- Value:
0.2
>
✔ Place: Tenths
>
✔ Value: 0.2
---
3) 61,168.877
Selected digit:
8 (after decimal, first digit)
- Place:
Tenths
- Value:
0.8
>
✔ Place: Tenths
>
✔ Value: 0.8
---
4) 33,835.962
Selected digit:
9 (after decimal, first digit)
- Place:
Tenths
- Value:
0.9
>
✔ Place: Tenths
>
✔ Value: 0.9
---
5) 15,867.879
Selected digit:
8 (after decimal, first digit)
- Place:
Tenths
- Value:
0.8
>
✔ Place: Tenths
>
✔ Value: 0.8
---
6) 85,889.353
Selected digit:
8 (third digit from left, in thousands place?) Let's count:
Number: 85,889.353
Digits:
- 8 → Ten-thousands
- 5 → Thousands
- 8 → Hundreds
- 8 → Tens
- 9 → Ones
→ So the
selected digit is the second 8, which is in the
Hundreds place.
Wait — actually, looking at the number:
85,889.353
Break it down:
- 8 → 80,000 (ten-thousands)
- 5 → 5,000 (thousands)
- 8 → 800 (hundreds)
- 8 → 80 (tens)
- 9 → 9 (ones)
The selected digit is the
second 8 from the left, which is in the
hundreds place.
So:
- Place:
Hundreds
- Value:
800
>
✔ Place: Hundreds
>
✔ Value: 800
---
7) 98,685.471
Selected digit:
6
Number: 98,685.471
Breakdown:
- 9 → 90,000
- 8 → 8,000
- 6 → 600 → Hundreds
- 8 → 80 → Tens
- 5 → 5 → Ones
So the
6 is in the
hundreds place.
- Place:
Hundreds
- Value:
600
>
✔ Place: Hundreds
>
✔ Value: 600
---
8) 38,169.271
Selected digit:
1
Number: 38,169.271
Breakdown:
- 3 → 30,000
- 8 → 8,000
- 1 → 100 → Hundreds
- 6 → 60 → Tens
- 9 → 9 → Ones
So the
1 is in the
hundreds place.
- Place:
Hundreds
- Value:
100
>
✔ Place: Hundreds
>
✔ Value: 100
---
9) 39,648.129
Selected digit:
1
After decimal: .129
- 1 → Tenths
- 2 → Hundredths
- 9 → Thousandths
So
1 is in the
tenths place.
- Place:
Tenths
- Value:
0.1
>
✔ Place: Tenths
>
✔ Value: 0.1
---
10) 18,276.594
Selected digit:
5
After decimal: .594
- 5 → Tenths
- 9 → Hundredths
- 4 → Thousandths
So
5 is in the
tenths place.
- Place:
Tenths
- Value:
0.5
>
✔ Place: Tenths
>
✔ Value: 0.5
---
✔ Final Answers:
| Problem | Place | Value |
|--------|---------------|---------|
| 1 | Tenths | 0.7 |
| 2 | Tenths | 0.2 |
| 3 | Tenths | 0.8 |
| 4 | Tenths | 0.9 |
| 5 | Tenths | 0.8 |
| 6 | Hundreds | 800 |
| 7 | Hundreds | 600 |
| 8 | Hundreds | 100 |
| 9 | Tenths | 0.1 |
| 10 | Tenths | 0.5 |
---
🔍 Explanation:
-
Place refers to the position of the digit in the number (e.g., ones, tens, hundreds, tenths, hundredths).
-
Value is how much that digit contributes based on its place.
- For decimals:
- First digit after decimal =
tenths (×0.1)
- Second =
hundredths (×0.01)
- Third =
thousandths (×0.001)
- For whole numbers:
- Rightmost digit = ones
- Then tens, hundreds, thousands, ten-thousands, etc.
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 decimals worksheet.
