Let's solve the problem step by step.
We are given a table with numbers, and for each number,
one digit is underlined. We need to find:
1.
Face Value: The actual value of the digit itself (regardless of position).
2.
Place Value: The value of the digit based on its position in the number (e.g., ones, tens, hundreds, etc.).
---
🔍 Definitions:
-
Face Value: Just the digit itself.
-
Place Value: Digit × value of its position (like 1000s, 100s, 10s, etc.)
---
Now let’s go through each row:
---
(i) 3,17,942 → Underlined digit:
1
- Position: 1 is in the
ten thousands place.
- Face Value =
1
- Place Value = 1 × 10,000 =
10,000
---
(ii) 6,45,190 → Underlined digit:
1
- Position: 1 is in the
hundreds place.
- Face Value =
1
- Place Value = 1 × 100 =
100
---
(iii) 42,908 → Underlined digit:
4
- Position: 4 is in the
ten thousands place.
- Face Value =
4
- Place Value = 4 × 10,000 =
40,000
---
(iv) 1,20,005 → Underlined digit:
1
- Position: 1 is in the
lakhs place (in Indian numbering system), which is
100,000.
- Face Value =
1
- Place Value = 1 × 100,000 =
100,000
> Note: In Indian numbering, 1,20,005 = 1 lakh 20 thousand 5
---
(v) 2,40,509 → Underlined digit:
4
- Position: 4 is in the
ten thousands place.
- Face Value =
4
- Place Value = 4 × 10,000 =
40,000
---
(vi) 3,49,999 → Underlined digit:
4
- Position: 4 is in the
ten thousands place.
- Face Value =
4
- Place Value = 4 × 10,000 =
40,000
---
(vii) 9,99,999 → Underlined digit:
9
- Position: 9 is in the
lakhs place (leftmost digit).
- Face Value =
9
- Place Value = 9 × 100,000 =
900,000
---
(viii) 9,01,802 → Underlined digit:
1
- Position: 1 is in the
thousands place.
- Face Value =
1
- Place Value = 1 × 1,000 =
1,000
---
(ix) 7,00,007 → Underlined digit:
7 (last digit)
- Position: 7 is in the
ones place.
- Face Value =
7
- Place Value = 7 × 1 =
7
---
(x) 6,45,120 → Underlined digit:
1
- Position: 1 is in the
hundreds place.
- Face Value =
1
- Place Value = 1 × 100 =
100
---
✔ Final Table:
| Number | Face Value | Place Value |
|--------------|------------|-------------|
| (i) 3,17,942 | 1 | 10,000 |
| (ii) 6,45,190| 1 | 100 |
| (iii) 42,908 | 4 | 40,000 |
| (iv) 1,20,005| 1 | 100,000 |
| (v) 2,40,509 | 4 | 40,000 |
| (vi) 3,49,999| 4 | 40,000 |
| (vii) 9,99,999| 9 | 900,000 |
| (viii) 9,01,802| 1 | 1,000 |
| (ix) 7,00,007| 7 | 7 |
| (x) 6,45,120 | 1 | 100 |
---
📝 Summary:
-
Face Value is always just the digit.
-
Place Value depends on the position (using Indian numbering system: ones, tens, hundreds, thousands, ten thousands, lakhs, etc.).
Let me know if you'd like this explained using the international numbering system too!
Parent Tip: Review the logic above to help your child master the concept of place value worksheet 6th.
