Class 6 Maths worksheet focusing on whole numbers with real-life word problems.
Class 6 Maths worksheet on whole numbers with real-life word problems, including number sequences, predecessors, successors, and true/false questions.
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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 the problems step by step.
---
#### Problem 1:
Write the next three natural numbers after 9899.
- The next three natural numbers after 9899 are:
- \( 9899 + 1 = 9900 \)
- \( 9900 + 1 = 9901 \)
- \( 9901 + 1 = 9902 \)
Answer:
\[
\boxed{9900, 9901, 9902}
\]
#### Problem 2:
Write the three whole numbers occurring before 10,000.
- The three whole numbers before 10,000 are:
- \( 10,000 - 1 = 9999 \)
- \( 9999 - 1 = 9998 \)
- \( 9998 - 1 = 9997 \)
Answer:
\[
\boxed{9999, 9998, 9997}
\]
#### Problem 3:
How many whole numbers are there between 55 and 44?
- The whole numbers between 55 and 44 are:
- There are no whole numbers between 55 and 44 because 55 is greater than 44.
Answer:
\[
\boxed{0}
\]
#### Problem 4:
Write the successor of:
a. 2,45,654
b. 3,24,456
- The successor of a number is the number that comes immediately after it.
- a. Successor of 2,45,654: \( 2,45,654 + 1 = 2,45,655 \)
- b. Successor of 3,24,456: \( 3,24,456 + 1 = 3,24,457 \)
Answer:
\[
\boxed{2,45,655, 3,24,457}
\]
#### Problem 5:
Write the predecessor of:
a. 2,45,654
b. 3,24,455
- The predecessor of a number is the number that comes immediately before it.
- a. Predecessor of 2,45,654: \( 2,45,654 - 1 = 2,45,653 \)
- b. Predecessor of 3,24,455: \( 3,24,455 - 1 = 3,24,454 \)
Answer:
\[
\boxed{2,45,653, 3,24,454}
\]
#### Problem 6:
Which of the following is true or false?
a. All natural numbers are whole numbers.
b. Number 1 is a natural number.
c. The whole number 14 lies between 13 and 16.
d. Every two-digit number is always followed by a two-digit number.
e. The largest 5-digit number is smaller than the smallest 6-digit number.
f. If you add 1 to the largest 3-digit number, it becomes a four-digit number.
g. A six-digit number is counted in lacs.
- a. All natural numbers are whole numbers.
- True. Natural numbers are a subset of whole numbers. Whole numbers include all natural numbers plus zero.
- b. Number 1 is a natural number.
- True. The set of natural numbers starts from 1.
- c. The whole number 14 lies between 13 and 16.
- True. 14 is indeed between 13 and 16.
- d. Every two-digit number is always followed by a two-digit number.
- False. For example, the number 99 is a two-digit number, but the number that follows it is 100, which is a three-digit number.
- e. The largest 5-digit number is smaller than the smallest 6-digit number.
- True. The largest 5-digit number is 99,999, and the smallest 6-digit number is 100,000. Clearly, \( 99,999 < 100,000 \).
- f. If you add 1 to the largest 3-digit number, it becomes a four-digit number.
- True. The largest 3-digit number is 999. Adding 1 gives \( 999 + 1 = 1000 \), which is a four-digit number.
- g. A six-digit number is counted in lacs.
- True. In the Indian numbering system, a lac is equal to 100,000 (or \( 10^5 \)). A six-digit number ranges from 100,000 to 999,999, so it is indeed counted in lacs.
Answer:
\[
\boxed{\text{True, True, True, False, True, True, True}}
\]
---
#### Question 1:
Are all natural numbers whole numbers?
- Yes, all natural numbers are whole numbers. Natural numbers start from 1 and go up (1, 2, 3, ...), while whole numbers start from 0 and go up (0, 1, 2, 3, ...). Therefore, every natural number is also a whole number.
Answer:
\[
\boxed{\text{Yes}}
\]
#### Question 2:
Which is the greatest whole number?
- There is no greatest whole number. Whole numbers extend infinitely: \( 0, 1, 2, 3, \ldots \). Hence, there is no largest whole number.
Answer:
\[
\boxed{\text{No greatest whole number}}
\]
#### Question 3:
Which is the smallest whole number?
- The smallest whole number is 0. Whole numbers start from 0 and go up.
Answer:
\[
\boxed{0}
\]
#### Question 4:
Which is the smallest natural number?
- The smallest natural number is 1. Natural numbers start from 1 and go up.
Answer:
\[
\boxed{1}
\]
#### Question 5:
The natural numbers are 1, 2, 3, 4, 5, ……
- This statement is correct. Natural numbers are the set of positive integers starting from 1.
Answer:
\[
\boxed{\text{Correct}}
\]
---
1. Next three natural numbers after 9899:
\[
\boxed{9900, 9901, 9902}
\]
2. Three whole numbers before 10,000:
\[
\boxed{9999, 9998, 9997}
\]
3. Whole numbers between 55 and 44:
\[
\boxed{0}
\]
4. Successor of 2,45,654 and 3,24,456:
\[
\boxed{2,45,655, 3,24,457}
\]
5. Predecessor of 2,45,654 and 3,24,455:
\[
\boxed{2,45,653, 3,24,454}
\]
6. True or false statements:
\[
\boxed{\text{True, True, True, False, True, True, True}}
\]
7. Are all natural numbers whole numbers?
\[
\boxed{\text{Yes}}
\]
8. Greatest whole number:
\[
\boxed{\text{No greatest whole number}}
\]
9. Smallest whole number:
\[
\boxed{0}
\]
10. Smallest natural number:
\[
\boxed{1}
\]
11. Natural numbers are 1, 2, 3, 4, 5, ……
\[
\boxed{\text{Correct}}
\]
---
Section 1: Real Life Word Problems
#### Problem 1:
Write the next three natural numbers after 9899.
- The next three natural numbers after 9899 are:
- \( 9899 + 1 = 9900 \)
- \( 9900 + 1 = 9901 \)
- \( 9901 + 1 = 9902 \)
Answer:
\[
\boxed{9900, 9901, 9902}
\]
#### Problem 2:
Write the three whole numbers occurring before 10,000.
- The three whole numbers before 10,000 are:
- \( 10,000 - 1 = 9999 \)
- \( 9999 - 1 = 9998 \)
- \( 9998 - 1 = 9997 \)
Answer:
\[
\boxed{9999, 9998, 9997}
\]
#### Problem 3:
How many whole numbers are there between 55 and 44?
- The whole numbers between 55 and 44 are:
- There are no whole numbers between 55 and 44 because 55 is greater than 44.
Answer:
\[
\boxed{0}
\]
#### Problem 4:
Write the successor of:
a. 2,45,654
b. 3,24,456
- The successor of a number is the number that comes immediately after it.
- a. Successor of 2,45,654: \( 2,45,654 + 1 = 2,45,655 \)
- b. Successor of 3,24,456: \( 3,24,456 + 1 = 3,24,457 \)
Answer:
\[
\boxed{2,45,655, 3,24,457}
\]
#### Problem 5:
Write the predecessor of:
a. 2,45,654
b. 3,24,455
- The predecessor of a number is the number that comes immediately before it.
- a. Predecessor of 2,45,654: \( 2,45,654 - 1 = 2,45,653 \)
- b. Predecessor of 3,24,455: \( 3,24,455 - 1 = 3,24,454 \)
Answer:
\[
\boxed{2,45,653, 3,24,454}
\]
#### Problem 6:
Which of the following is true or false?
a. All natural numbers are whole numbers.
b. Number 1 is a natural number.
c. The whole number 14 lies between 13 and 16.
d. Every two-digit number is always followed by a two-digit number.
e. The largest 5-digit number is smaller than the smallest 6-digit number.
f. If you add 1 to the largest 3-digit number, it becomes a four-digit number.
g. A six-digit number is counted in lacs.
- a. All natural numbers are whole numbers.
- True. Natural numbers are a subset of whole numbers. Whole numbers include all natural numbers plus zero.
- b. Number 1 is a natural number.
- True. The set of natural numbers starts from 1.
- c. The whole number 14 lies between 13 and 16.
- True. 14 is indeed between 13 and 16.
- d. Every two-digit number is always followed by a two-digit number.
- False. For example, the number 99 is a two-digit number, but the number that follows it is 100, which is a three-digit number.
- e. The largest 5-digit number is smaller than the smallest 6-digit number.
- True. The largest 5-digit number is 99,999, and the smallest 6-digit number is 100,000. Clearly, \( 99,999 < 100,000 \).
- f. If you add 1 to the largest 3-digit number, it becomes a four-digit number.
- True. The largest 3-digit number is 999. Adding 1 gives \( 999 + 1 = 1000 \), which is a four-digit number.
- g. A six-digit number is counted in lacs.
- True. In the Indian numbering system, a lac is equal to 100,000 (or \( 10^5 \)). A six-digit number ranges from 100,000 to 999,999, so it is indeed counted in lacs.
Answer:
\[
\boxed{\text{True, True, True, False, True, True, True}}
\]
---
Section 2: Questions
#### Question 1:
Are all natural numbers whole numbers?
- Yes, all natural numbers are whole numbers. Natural numbers start from 1 and go up (1, 2, 3, ...), while whole numbers start from 0 and go up (0, 1, 2, 3, ...). Therefore, every natural number is also a whole number.
Answer:
\[
\boxed{\text{Yes}}
\]
#### Question 2:
Which is the greatest whole number?
- There is no greatest whole number. Whole numbers extend infinitely: \( 0, 1, 2, 3, \ldots \). Hence, there is no largest whole number.
Answer:
\[
\boxed{\text{No greatest whole number}}
\]
#### Question 3:
Which is the smallest whole number?
- The smallest whole number is 0. Whole numbers start from 0 and go up.
Answer:
\[
\boxed{0}
\]
#### Question 4:
Which is the smallest natural number?
- The smallest natural number is 1. Natural numbers start from 1 and go up.
Answer:
\[
\boxed{1}
\]
#### Question 5:
The natural numbers are 1, 2, 3, 4, 5, ……
- This statement is correct. Natural numbers are the set of positive integers starting from 1.
Answer:
\[
\boxed{\text{Correct}}
\]
---
Final Answer Summary:
1. Next three natural numbers after 9899:
\[
\boxed{9900, 9901, 9902}
\]
2. Three whole numbers before 10,000:
\[
\boxed{9999, 9998, 9997}
\]
3. Whole numbers between 55 and 44:
\[
\boxed{0}
\]
4. Successor of 2,45,654 and 3,24,456:
\[
\boxed{2,45,655, 3,24,457}
\]
5. Predecessor of 2,45,654 and 3,24,455:
\[
\boxed{2,45,653, 3,24,454}
\]
6. True or false statements:
\[
\boxed{\text{True, True, True, False, True, True, True}}
\]
7. Are all natural numbers whole numbers?
\[
\boxed{\text{Yes}}
\]
8. Greatest whole number:
\[
\boxed{\text{No greatest whole number}}
\]
9. Smallest whole number:
\[
\boxed{0}
\]
10. Smallest natural number:
\[
\boxed{1}
\]
11. Natural numbers are 1, 2, 3, 4, 5, ……
\[
\boxed{\text{Correct}}
\]
Parent Tip: Review the logic above to help your child master the concept of whole number worksheet.