CBSE Class 5 Mathematics Worksheet - Place Value | PDF - Free Printable
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Step-by-step solution for: CBSE Class 5 Mathematics Worksheet - Place Value | PDF
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Show Answer Key & Explanations
Step-by-step solution for: CBSE Class 5 Mathematics Worksheet - Place Value | PDF
Let’s solve each part of the worksheet step by step.
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Q-I: Fill in the blanks
a. 10 lakhs = 1 crore
→ Because 10 × 1,00,000 = 10,00,000 = 1 crore.
b. One lakh = 100 thousands
→ 1,00,000 ÷ 1,000 = 100.
c. 100 hundreds = 10 thousands
→ 100 × 100 = 10,000 → which is 10 thousand.
d. Hundreds place is in ones period.
→ In Indian system: Ones period has units, tens, hundreds.
e. 1000 more than 39,999 is 40,999
→ 39,999 + 1,000 = 40,999.
f. 8 digit number begins with ten millions place (Indian system)
Wait — correction: In Indian system, 8-digit number starts at ten lakhs place.
Example: 1,00,00,000 → that’s 1 crore (8 digits). So first digit is in crores? Wait no:
Actually:
- 7-digit: 10,00,000 → ten lakhs
- 8-digit: 1,00,00,000 → one crore → so first digit is in crores place? But question says “begins with ___ place”
Let’s clarify Indian place value chart:
Digits from right:
1st: Units
2nd: Tens
3rd: Hundreds
4th: Thousands
5th: Ten Thousands
6th: Lakhs
7th: Ten Lakhs
8th: Crores ← for 8-digit numbers
So an 8-digit number like 12,345,678 → in Indian system: 1,23,45,678 → first digit ‘1’ is in crores place.
But wait — actually, 8-digit number minimum is 10,000,000 → which is 1,00,00,000 → yes, crores.
But let me check standard teaching: Often they say 8-digit number begins with ten lakhs? No — that’s 7-digit.
Actually, correct answer should be: Crores
But let’s see common curriculum: Sometimes they consider "place" as the highest place occupied.
For example:
- 7-digit: up to ten lakhs
- 8-digit: up to crores
So: f. 8 digit number begins with _crores_ place (Indian system)
g. The number before 6,70,000 is 6,69,999
→ Just subtract 1.
h. The number after 3,25,999 is 3,26,000
→ Add 1.
i. The next two numbers in the pattern is 12,93,997 ; 12,93,998 → next are 12,93,999 and 12,94,000
j. There are 900,000 six-digit numbers in all.
→ Six-digit numbers range from 1,00,000 to 9,99,999.
Total = 9,99,999 - 1,00,000 + 1 = 9,00,000 → 900,000.
k. 37,465 rounded to the nearest 100 is 37,500
→ Look at tens digit: 6 ≥ 5 → round up hundreds: 4 becomes 5 → 37,500.
l. One less than the smallest 7 digit number is 9,99,999
→ Smallest 7-digit = 10,00,000 → minus 1 = 9,99,999.
m. 9,32,961 > 9,013 → obviously true. Put >
n. Difference between place value and face value of 6 in 28679
Number: 2 8 6 7 9
Positions (from right):
9 → units
7 → tens
6 → hundreds → place value = 600
Face value = 6
Difference = 600 - 6 = 594
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Q-II: Choose the correct answer
1. 100 lakh is also called
→ 100 × 1,00,000 = 1,00,00,000 = 1 crore → but options:
(10 million, one million)
In international: 1 crore = 10 million → so 10 million
2. 7 digit number begins with ___ place.
→ 7-digit: e.g., 10,00,000 → ten lakhs → option: (10 million, 10 lakh, one crore) → 10 lakh
3. 1 crore = ___
→ 1,00,00,000 → which is 100 lakhs → option: (100, 1000, 10000) → 100
4. The digit 9 in the numeral 92,35,625 is in ___ period.
Write it properly: 92,35,625 → in Indian system:
Breakdown:
92,35,625 →
From right:
625 → ones period
35 → thousands period
92 → lakhs period? Wait:
Actually, grouping in Indian system:
Rightmost 3: ones (units, tens, hundreds)
Next 2: thousands (thousands, ten thousands)
Next 2: lakhs (lakhs, ten lakhs)
Then crores...
So 92,35,625 →
Grouped as: 92 | 35 | 625
→ 92 is in lakhs period? Actually, 92 represents 92 lakhs → so digit '9' is in ten lakhs place → which is part of lakhs period.
Options: (ten lakhs, thousands, lakhs)
“Period” refers to group: ones, thousands, lakhs, crores.
So 92,35,625 →
- 625 → ones period
- 35 → thousands period
- 92 → lakhs period
Digit 9 is in the lakhs period → so answer: lakhs
But option says: (ten lakhs, thousands, lakhs) → “ten lakhs” is a place, not a period. The period is “lakhs”.
So correct choice: lakhs
Wait — let's confirm:
Place Value Chart (Indian System):
| Period | Places |
|------------|--------------------|
| Ones | Units, Tens, Hundreds |
| Thousands | Thousands, Ten Thousands |
| Lakhs | Lakhs, Ten Lakhs |
| Crores | Crores, Ten Crores |
So in 92,35,625:
- Digit 5 → units → ones period
- Digit 2 → tens → ones period
- Digit 6 → hundreds → ones period
- Digit 5 → thousands → thousands period
- Digit 3 → ten thousands → thousands period
- Digit 2 → lakhs → lakhs period
- Digit 9 → ten lakhs → still lakhs period
So the period is “lakhs”, even though the place is “ten lakhs”.
Question asks: “is in ___ period.” → so answer is lakhs
But looking at options: (ten lakhs, thousands, lakhs) → “ten lakhs” is listed — but that’s a place, not a period. However, sometimes in multiple choice, they might mean place.
Wait — re-read: “The digit 9 in the numeral 92,35,625 is in ___ period.”
It specifically says “period”, so it should be “lakhs”.
But let’s see the number: 92,35,625
Written with commas: 92,35,625 → this means:
- 92 → lakhs group → so 92 lakhs
- 35 → thousands group
- 625 → ones group
So digit 9 is in the lakhs period.
Answer: lakhs
But option includes “ten lakhs” — which is incorrect for “period”. Probably trick.
I think intended answer is lakhs
Alternatively, if they meant “place”, then “ten lakhs” — but question says “period”.
Given options, and since “ten lakhs” is a place within lakhs period, but the period name is “lakhs”, I’ll go with lakhs
Wait — let me double-check with standard definition.
Upon second thought: In many textbooks, when they say “in which period”, they refer to the group name.
Example: In 1,23,45,678 — digit 1 is in crores period.
Similarly, in 92,35,625 — digit 9 is in lakhs period.
So answer: lakhs
But let’s see the options again: (ten lakhs, thousands, lakhs)
“ten lakhs” is likely a distractor — because it’s the place, not the period.
So final choice: lakhs
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Now compiling final answers:
──────────────────────────────────────
Final Answer:
Q-I:
a. 10
b. 100
c. 10
d. ones
e. 40,999
f. crores
g. 6,69,999
h. 3,26,000
i. 12,93,999; 12,94,000
j. 900,000
k. 37,500
l. 9,99,999
m. >
n. 594
Q-II:
1. 10 million
2. 10 lakh
3. 100
4. lakhs
---
Q-I: Fill in the blanks
a. 10 lakhs = 1 crore
→ Because 10 × 1,00,000 = 10,00,000 = 1 crore.
b. One lakh = 100 thousands
→ 1,00,000 ÷ 1,000 = 100.
c. 100 hundreds = 10 thousands
→ 100 × 100 = 10,000 → which is 10 thousand.
d. Hundreds place is in ones period.
→ In Indian system: Ones period has units, tens, hundreds.
e. 1000 more than 39,999 is 40,999
→ 39,999 + 1,000 = 40,999.
f. 8 digit number begins with ten millions place (Indian system)
Wait — correction: In Indian system, 8-digit number starts at ten lakhs place.
Example: 1,00,00,000 → that’s 1 crore (8 digits). So first digit is in crores? Wait no:
Actually:
- 7-digit: 10,00,000 → ten lakhs
- 8-digit: 1,00,00,000 → one crore → so first digit is in crores place? But question says “begins with ___ place”
Let’s clarify Indian place value chart:
Digits from right:
1st: Units
2nd: Tens
3rd: Hundreds
4th: Thousands
5th: Ten Thousands
6th: Lakhs
7th: Ten Lakhs
8th: Crores ← for 8-digit numbers
So an 8-digit number like 12,345,678 → in Indian system: 1,23,45,678 → first digit ‘1’ is in crores place.
But wait — actually, 8-digit number minimum is 10,000,000 → which is 1,00,00,000 → yes, crores.
But let me check standard teaching: Often they say 8-digit number begins with ten lakhs? No — that’s 7-digit.
Actually, correct answer should be: Crores
But let’s see common curriculum: Sometimes they consider "place" as the highest place occupied.
For example:
- 7-digit: up to ten lakhs
- 8-digit: up to crores
So: f. 8 digit number begins with _crores_ place (Indian system)
g. The number before 6,70,000 is 6,69,999
→ Just subtract 1.
h. The number after 3,25,999 is 3,26,000
→ Add 1.
i. The next two numbers in the pattern is 12,93,997 ; 12,93,998 → next are 12,93,999 and 12,94,000
j. There are 900,000 six-digit numbers in all.
→ Six-digit numbers range from 1,00,000 to 9,99,999.
Total = 9,99,999 - 1,00,000 + 1 = 9,00,000 → 900,000.
k. 37,465 rounded to the nearest 100 is 37,500
→ Look at tens digit: 6 ≥ 5 → round up hundreds: 4 becomes 5 → 37,500.
l. One less than the smallest 7 digit number is 9,99,999
→ Smallest 7-digit = 10,00,000 → minus 1 = 9,99,999.
m. 9,32,961 > 9,013 → obviously true. Put >
n. Difference between place value and face value of 6 in 28679
Number: 2 8 6 7 9
Positions (from right):
9 → units
7 → tens
6 → hundreds → place value = 600
Face value = 6
Difference = 600 - 6 = 594
---
Q-II: Choose the correct answer
1. 100 lakh is also called
→ 100 × 1,00,000 = 1,00,00,000 = 1 crore → but options:
(10 million, one million)
In international: 1 crore = 10 million → so 10 million
2. 7 digit number begins with ___ place.
→ 7-digit: e.g., 10,00,000 → ten lakhs → option: (10 million, 10 lakh, one crore) → 10 lakh
3. 1 crore = ___
→ 1,00,00,000 → which is 100 lakhs → option: (100, 1000, 10000) → 100
4. The digit 9 in the numeral 92,35,625 is in ___ period.
Write it properly: 92,35,625 → in Indian system:
Breakdown:
92,35,625 →
From right:
625 → ones period
35 → thousands period
92 → lakhs period? Wait:
Actually, grouping in Indian system:
Rightmost 3: ones (units, tens, hundreds)
Next 2: thousands (thousands, ten thousands)
Next 2: lakhs (lakhs, ten lakhs)
Then crores...
So 92,35,625 →
Grouped as: 92 | 35 | 625
→ 92 is in lakhs period? Actually, 92 represents 92 lakhs → so digit '9' is in ten lakhs place → which is part of lakhs period.
Options: (ten lakhs, thousands, lakhs)
“Period” refers to group: ones, thousands, lakhs, crores.
So 92,35,625 →
- 625 → ones period
- 35 → thousands period
- 92 → lakhs period
Digit 9 is in the lakhs period → so answer: lakhs
But option says: (ten lakhs, thousands, lakhs) → “ten lakhs” is a place, not a period. The period is “lakhs”.
So correct choice: lakhs
Wait — let's confirm:
Place Value Chart (Indian System):
| Period | Places |
|------------|--------------------|
| Ones | Units, Tens, Hundreds |
| Thousands | Thousands, Ten Thousands |
| Lakhs | Lakhs, Ten Lakhs |
| Crores | Crores, Ten Crores |
So in 92,35,625:
- Digit 5 → units → ones period
- Digit 2 → tens → ones period
- Digit 6 → hundreds → ones period
- Digit 5 → thousands → thousands period
- Digit 3 → ten thousands → thousands period
- Digit 2 → lakhs → lakhs period
- Digit 9 → ten lakhs → still lakhs period
So the period is “lakhs”, even though the place is “ten lakhs”.
Question asks: “is in ___ period.” → so answer is lakhs
But looking at options: (ten lakhs, thousands, lakhs) → “ten lakhs” is listed — but that’s a place, not a period. However, sometimes in multiple choice, they might mean place.
Wait — re-read: “The digit 9 in the numeral 92,35,625 is in ___ period.”
It specifically says “period”, so it should be “lakhs”.
But let’s see the number: 92,35,625
Written with commas: 92,35,625 → this means:
- 92 → lakhs group → so 92 lakhs
- 35 → thousands group
- 625 → ones group
So digit 9 is in the lakhs period.
Answer: lakhs
But option includes “ten lakhs” — which is incorrect for “period”. Probably trick.
I think intended answer is lakhs
Alternatively, if they meant “place”, then “ten lakhs” — but question says “period”.
Given options, and since “ten lakhs” is a place within lakhs period, but the period name is “lakhs”, I’ll go with lakhs
Wait — let me double-check with standard definition.
Upon second thought: In many textbooks, when they say “in which period”, they refer to the group name.
Example: In 1,23,45,678 — digit 1 is in crores period.
Similarly, in 92,35,625 — digit 9 is in lakhs period.
So answer: lakhs
But let’s see the options again: (ten lakhs, thousands, lakhs)
“ten lakhs” is likely a distractor — because it’s the place, not the period.
So final choice: lakhs
---
Now compiling final answers:
──────────────────────────────────────
Final Answer:
Q-I:
a. 10
b. 100
c. 10
d. ones
e. 40,999
f. crores
g. 6,69,999
h. 3,26,000
i. 12,93,999; 12,94,000
j. 900,000
k. 37,500
l. 9,99,999
m. >
n. 594
Q-II:
1. 10 million
2. 10 lakh
3. 100
4. lakhs
Parent Tip: Review the logic above to help your child master the concept of place value worksheet class 5.