Class 6 Maths Whole Numbers Worksheet | Class1to12.com - Free Printable
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Step-by-step solution for: Class 6 Maths Whole Numbers Worksheet | Class1to12.com
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Step-by-step solution for: Class 6 Maths Whole Numbers Worksheet | Class1to12.com
Let's solve each question step by step with clear explanations.
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Natural numbers are counting numbers starting from 1:
1, 2, 3, 4, ...
So, after 9899:
- Next is 9900
- Then 9901
- Then 9902
✔ Answer: 9900, 9901, 9902
---
Whole numbers include 0 and all natural numbers:
0, 1, 2, 3, ...
Numbers just before 10,000:
- 9999
- 9998
- 9997
✔ Answer: 9997, 9998, 9999
> Note: We write them in order from smallest to largest.
---
We need to find whole numbers between 55 and 44.
But note: 55 > 44, so we're looking at numbers between 44 and 55.
So list the whole numbers between 44 and 55:
45, 46, 47, 48, 49, 50, 51, 52, 53, 54
Count them:
- From 45 to 54 → that’s 10 numbers.
✔ Answer: 10
---
The successor of a number is the number that comes immediately after it (i.e., add 1).
a. Successor of 2,45,654 = 2,45,654 + 1 = 2,45,655
b. Successor of 3,24,456 = 3,24,456 + 1 = 3,24,457
✔ Answers:
a. 2,45,655
b. 3,24,457
---
The predecessor is the number that comes just before (subtract 1).
a. Predecessor of 2,45,654 = 2,45,654 – 1 = 2,45,653
b. Predecessor of 3,24,455 = 3,24,455 – 1 = 3,24,454
✔ Answers:
a. 2,45,653
b. 3,24,454
---
#### a. All natural numbers are whole numbers
✔ True
Because natural numbers start from 1, and whole numbers start from 0. So every natural number is a whole number.
#### b. Number 1 is a natural number
✔ True
Yes, 1 is the first natural number.
#### c. The whole number 14 lies between 13 and 16
✔ True
13 < 14 < 16 → Yes, 14 lies between them.
#### d. Every two-digit number is always followed by a two-digit number
✘ False
Example: 99 is a two-digit number. Its successor is 100, which is a three-digit number.
#### e. The largest 5-digit number is smaller than the smallest six-digit number
✔ True
Largest 5-digit = 99,999
Smallest 6-digit = 100,000
And 99,999 < 100,000 → True
#### f. If you add 1 to the largest 3-digit number it becomes a four-digit number
✔ True
Largest 3-digit = 999
999 + 1 = 1000 → which is a four-digit number.
#### g. A six-digit number is counted in lacs
✔ True
In the Indian numbering system:
- 1 lac = 100,000
- So, 100,000 to 999,999 are six-digit numbers, and they are counted in lacs.
✔ Answers:
a. True
b. True
c. True
d. False
e. True
f. True
g. True
---
#### 1. Are all natural numbers whole numbers?
✔ Yes
Because natural numbers = {1, 2, 3, ...}
Whole numbers = {0, 1, 2, 3, ...}
So every natural number is a whole number.
Answer: Yes
---
#### 2. Which is the greatest whole number?
✘ There is no greatest whole number.
Whole numbers go on infinitely: 0, 1, 2, 3, ..., ∞
Answer: No greatest whole number (or "There is no greatest whole number")
---
#### 3. Which is the smallest whole number?
✔ 0
Because whole numbers start from 0.
Answer: 0
---
#### 4. Which is the smallest natural number?
✔ 1
Natural numbers start from 1.
Answer: 1
---
#### 5. The natural numbers are 1, 2, 3, 4, 5,.....
✔ True
This is the definition of natural numbers.
Answer: True
---
---
1. 9900, 9901, 9902
2. 9997, 9998, 9999
3. 10
4.
a. 2,45,655
b. 3,24,457
5.
a. 2,45,653
b. 3,24,454
6.
a. True
b. True
c. True
d. False
e. True
f. True
g. True
Extra Questions:
1. Yes
2. No greatest whole number
3. 0
4. 1
5. True
---
Let me know if you'd like this formatted as a printable answer sheet!
---
1. Write the next three natural numbers after 9899.
Natural numbers are counting numbers starting from 1:
1, 2, 3, 4, ...
So, after 9899:
- Next is 9900
- Then 9901
- Then 9902
✔ Answer: 9900, 9901, 9902
---
2. Write the three whole numbers occurring before 10,000.
Whole numbers include 0 and all natural numbers:
0, 1, 2, 3, ...
Numbers just before 10,000:
- 9999
- 9998
- 9997
✔ Answer: 9997, 9998, 9999
> Note: We write them in order from smallest to largest.
---
3. How many whole numbers are there between 55 and 44?
We need to find whole numbers between 55 and 44.
But note: 55 > 44, so we're looking at numbers between 44 and 55.
So list the whole numbers between 44 and 55:
45, 46, 47, 48, 49, 50, 51, 52, 53, 54
Count them:
- From 45 to 54 → that’s 10 numbers.
✔ Answer: 10
---
4. Write the successor of:
The successor of a number is the number that comes immediately after it (i.e., add 1).
a. Successor of 2,45,654 = 2,45,654 + 1 = 2,45,655
b. Successor of 3,24,456 = 3,24,456 + 1 = 3,24,457
✔ Answers:
a. 2,45,655
b. 3,24,457
---
5. Write the predecessor of:
The predecessor is the number that comes just before (subtract 1).
a. Predecessor of 2,45,654 = 2,45,654 – 1 = 2,45,653
b. Predecessor of 3,24,455 = 3,24,455 – 1 = 3,24,454
✔ Answers:
a. 2,45,653
b. 3,24,454
---
6. Which of the following is true or false?
#### a. All natural numbers are whole numbers
✔ True
Because natural numbers start from 1, and whole numbers start from 0. So every natural number is a whole number.
#### b. Number 1 is a natural number
✔ True
Yes, 1 is the first natural number.
#### c. The whole number 14 lies between 13 and 16
✔ True
13 < 14 < 16 → Yes, 14 lies between them.
#### d. Every two-digit number is always followed by a two-digit number
✘ False
Example: 99 is a two-digit number. Its successor is 100, which is a three-digit number.
#### e. The largest 5-digit number is smaller than the smallest six-digit number
✔ True
Largest 5-digit = 99,999
Smallest 6-digit = 100,000
And 99,999 < 100,000 → True
#### f. If you add 1 to the largest 3-digit number it becomes a four-digit number
✔ True
Largest 3-digit = 999
999 + 1 = 1000 → which is a four-digit number.
#### g. A six-digit number is counted in lacs
✔ True
In the Indian numbering system:
- 1 lac = 100,000
- So, 100,000 to 999,999 are six-digit numbers, and they are counted in lacs.
✔ Answers:
a. True
b. True
c. True
d. False
e. True
f. True
g. True
---
Now the last set of questions:
#### 1. Are all natural numbers whole numbers?
✔ Yes
Because natural numbers = {1, 2, 3, ...}
Whole numbers = {0, 1, 2, 3, ...}
So every natural number is a whole number.
Answer: Yes
---
#### 2. Which is the greatest whole number?
✘ There is no greatest whole number.
Whole numbers go on infinitely: 0, 1, 2, 3, ..., ∞
Answer: No greatest whole number (or "There is no greatest whole number")
---
#### 3. Which is the smallest whole number?
✔ 0
Because whole numbers start from 0.
Answer: 0
---
#### 4. Which is the smallest natural number?
✔ 1
Natural numbers start from 1.
Answer: 1
---
#### 5. The natural numbers are 1, 2, 3, 4, 5,.....
✔ True
This is the definition of natural numbers.
Answer: True
---
✔ Final Answers Summary:
---
1. 9900, 9901, 9902
2. 9997, 9998, 9999
3. 10
4.
a. 2,45,655
b. 3,24,457
5.
a. 2,45,653
b. 3,24,454
6.
a. True
b. True
c. True
d. False
e. True
f. True
g. True
Extra Questions:
1. Yes
2. No greatest whole number
3. 0
4. 1
5. True
---
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 whole numbers worksheet.