Enhanced Curriculum Support

SecA

Round the number 23,487 to the nearest ten, hundred, and thousand

Sol

Solution:

Nearest ten: 23,490

Nearest hundred: 23,500

Nearest thousand: 23,000

SecB

Write the number names for

(a)765,490,786

(b)24,58,765

Sol

Solution:

(a) Seven hundred sixty five million four hundred ninety thousand sevend hundred and eighty six

(b) Twenty four lakh fifty eight thousand seven hundred sixty five

SecC

A store sold 785 bags in January, 956 bags in February, and 1,234 bags in March. What is the total number of bags sold in these three months?

Sol

Solution: 4,800 - 2,650 =

SecD

Write a number between 5,000 and 6,000 that is divisible by 5 and explain how you know it is divisible by 5

Sol

Solution: 5,005; A number is divisible by 5 if it ends in 0 or 5.

Problem 1

Situation: A sports stadium has a seating capacity of 25,000. During a major event, 19,876 people attended.

Questions:

(1)How many seats were left vacant during the event?

(2)Why is it important to have events that bring people together in large numbers?

Sol

Solutions

(1) Calculating the number of vacant seats:

Vacant seats = 25,000−19,876=5,124 seats

(2) Importance of events that bring people together:

Community Building: Such events foster a sense of community and belonging.

Cultural Exchange: They allow for the exchange of ideas and cultures.

Entertainment and Leisure: They provide a source of entertainment and relaxation.

Economic Benefits: Large events can boost local economies through tourism and related activities.

Problem 2

Situation: Two factories produced 15,876 and 18,542 units of goods respectively in a month.

Questions:

(1)By how many units did the second factory produce more than the first?

(2)Discuss the importance of fair competition between businesses.

Sol

Solutions

(1) Calculating the difference in production:

Difference in production=18,542−15,876=2,666 units

(2)Importance of fair competition:

Innovation and Improvement: Fair competition encourages businesses to innovate and improve their products and services.

Consumer Benefits: It leads to better quality and more choices for consumers.

Economic Growth: Healthy competition can drive economic growth and job creation.

Ethical Standards: Fair competition promotes ethical business practices and prevents monopolies.

Problem 3

Estimation and Rounding Off

Situation: A school library plans to buy new books. The total cost of 48 science books is ₹19,472. Estimate the cost of each book by rounding off the total cost to the nearest thousand.

Questions:

1. What is the estimated total cost and estimated cost per book?

2. Why is it important to budget and plan for expenses?

Sol

Solutions

1. Estimating the total cost and cost per book:

Estimated total cost = ₹20,000

Estimated cost per book = ₹20,00048 ≈₹417 per book

Estimated cost per book=48₹20,000​≈₹417 per book

2. Importance of budgeting and planning for expenses:

Financial Management: It helps in managing finances and avoiding overspending.

Resource Allocation: Ensures that resources are allocated efficiently.

Achieving Goals: Helps in setting and achieving financial goals.

Preparedness: Prepares individuals and organizations for unforeseen expenses.

Q1

1.Write the smallest and the greatest 5-digit numbers using the digits 0,2,4,6,8 (Repetition of digits is not allowed).

Sol

Solution

Given digits are 0, 2, 4, 6, 8

5 – digit greatest number = 86420;

5 – digit smallest number = 20468.

Q2

2. Write the following numbers in ascending order. How many of them are even numbers? 63,854, 63,584, 65,348, 68,543, 64,835

Sol

Solution

The given numbers are 63,854, 63,584, 65,348, 68,543 and 64,835.

Ascending order is 63,584 ; 63,854 ; 64,835 ; 65,348 ; 68,543

Even numbers are: 63,584, 63,854 and 65,348.

Q3

3.What is the successor of greatest 6-digit number?

Sol

Solution

Greatest 6-digit number =

Successor of it = 999999 + 1 =

i. e., smallest 7-digit number.

Hence, the required successor = 10,00,000.

Questions

1. In Indian System of Numeration, the number 58695376 is written as

2. The largest 4-digit number, using any one digit twice, from digits 5,9, 2 and 6 is

3. One million is equal to

4. Keeping the place of 6 in the number 6350947 same, the smallest number obtained by rearranging other digits is

5. The largest 5-digit number having three different digits is

6. The smallest 4-digit number having three different digits is

7. The largest number which always divides the sum of any pair of consecutive odd numbers is

8. The numbers 4578, 4587, 5478, 5487 are in descending order.

9. The largest six digit telephone number that can be formed by using digits 5, 3, 4, 7, 0, 8 only once is 875403.

10. The number 81652318 will be read as eighty one crore six lakh fifty two thousand three hundred eighteen.

11. The largest 4-digit number formed by the digits 6, 7, 0, 9 using each digit only once is 9760.

Sol

Solutions

1. Five crore, eighty six lakh, ninety five thousand, three hundred and seventy six.

2. 9965

3. 10 lakhs [10,00,000]

4. 6034579

5. 99987

6. 1002

7. 4

8. False

9. False

10. False

11. True

Q1

Population processes are typically characterized by processes of birth and immigration, and of death, emigration and catastrophe, which correspond to the basic demographic processes and broad environmental effects to which a population is subject.

The population of Telangana state in 2011 was 35193978 and the estimated population of the state in 2023 is 38157311

Based on the above information, answer the following questions.

(i) Write the population of 2023 in words.

(ii) Write the place value of '1' in 35193978.

(iii) Write the population of 2011 and 2023 in expanded form.

Sol

Solutions

(i) The population of 2023 in words is 3,81,57,311 Three croes eighty one lakh fifty seven thousand three hundred and eleven.

(ii) The place value of 1 in this number 3,51,93,978 is one lakh

(iii) 2011 = 2 x + 0 + x 1 + x 1

   2023 = 2 x + 10 x + 1 x 3

Q2

Your classroom has a small library with 350 storybooks, 420 textbooks, and 230 reference books.

Based on the above information, answer the following questions.

1. What is the total number of books in the library?

2. If the storybooks are arranged in shelves with 25 books per shelf, how many shelves are needed?

3. How many more textbooks are there compared to reference books?

4. If you need to equally distribute all the books among 10 students, how many books will each student get?

5. What is the ratio of storybooks to the total number of books in the library?

Sol

Solutions

1. Total books = 350 + 420 + 230 = 1000 books.

2. Shelves needed =35025 = shelves.

3. Difference = 420-230 = textbooks.

4. Books per student = 100010 = books.

5. Ratio = 3501000 = 720 (or 7 : 20).

Q3

You are planning a birthday party and you have 150 balloons, 200 candies, and 50 gift bags. You plan to put 3 balloons and 5 candies in each gift bag.

Based on the above information, answer the following questions.

1. How many balloons and candies will be used to fill all the gift bags?

2. How many balloons will be left after filling all the gift bags?

3. How many candies will be left after filling all the gift bags?

4. If you decide to put 10 candies in each gift bag instead, how many gift bags can you fill completely?

5. What is the total number of items (balloons, candies, and gift bags) you have for the party?

Sol

Solutions

1. Balloons used = 50bags x 3balloons = 150. (all balloons used)

Candies used = 50bags x 5candies = 250 candies.

2. Balloons left = balloons present-balloons needed=150 - 150 = 0.

3. Candies left = not enough candies as we have 200 but we need 250.

4. Gift bags = 20010 = bags.

5. Total items = 150 + 200 + 50 = items.