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Q: 3. Can you give examples of word problems involving large numbers?

Ans.An example of a word problem could be: 'A library has 1,500,000 books. If 250,000 books are checked out, how many books are left in the library?' This problem helps students practice subtraction with large numbers.

Q.1. Ria read that the population of Delhi is about 2 crore 50 lakh. Convert this population into standard form.
Answer:
The population of Delhi in standard form is 2,50,00,000.

Word Problems: Large Numbers | Mathematics for Class 5

View Answer

In the Indian system of numeration:

1 crore = 1,00,00,000
1 lakh = 1,00,000

Therefore, 2 crore 50 lakh is written as:

$2 Crore + 50 Lakh =$ 2,50,00,000

Indian and International System

Q2: The moon is approximately 384,400 km away from the Earth. Write this distance in standard form.
Ans: The distance from the Earth to the moon in standard form is 3,84,400 km.

View Answer

To write the distance in standard form, we use commas to separate the periods as per the Indian system of numeration.
In standard form:

$3, 84, 400$

Q3: Which is the greatest 7-digit number, and how can you obtain the smallest 8-digit number from it?
Ans: The greatest 7-digit number is 9,99,99,999. Adding 1 to this number gives the smallest 8-digit number, which is 1,00,00,000.

View Answer

The greatest 7-digit number is 99,99,999.
By adding 1 to the greatest 7-digit number, we get the smallest 8-digit number:

$99, 99, 999 + 1 = 1, 00, 00, 000$

Q4: Find the place value of 4 in the number 4,67,13,223.
Ans: The place value of 4 in 4,67,13,223 is 40,00,000.

View Answer

The number 4 in 4,67,13,223 is in the ten-lakh place. Therefore, its place value is:

$4 \times 10, 00, 000 = 40,00,000$

Q5: Write the numeral for the following by separating the periods:
(a) 603274087
(b) 37007690
Ans:

View Answer

Using the Indian system of numeration:

(a) 603,274,087 (Six hundred three million, two hundred seventy-four thousand, eighty-seven)
(b) 37,00,76,90 (Thirty-seven million, seventy-six thousand, ninety)

Word Problems: Large Numbers | Mathematics for Class 5 Read and Say Large Numbers

Q6: Compare 5,67,89,123 and 6,78,90,345. Which one is greater?
Ans: Lining up the numbers by place values, 6,78,90,345 is greater than 5,67,89,123.

View Answer

When comparing the numbers place by place:

In the crore place, 6 > 5, so 6,78,90,345 is greater than 5,67,89,123.

Q7: Write the greatest 5-digit number using the digits 4, 7, 2, 9, 5, and 1 only once.
Ans: The greatest 5-digit number using the digits 4, 7, 2, 9, 5, and 1 is 97,542.

View Answer

To form the greatest 5-digit number, arrange the digits in descending order:

$9, 7, 5, 4, 2$

The greatest 5-digit number is 97,542.

Q8: Write the smallest 6-digit number using the digits 3, 0, 6, 1, 9, and 8 without repetition.
Ans: The smallest 6-digit number using the digits 3, 0, 6, 1, 9, and 8 is 103,689.

View Answer

To form the smallest 6-digit number, arrange the digits in ascending order, ensuring that the first digit is not zero:

$1, 0, 3, 6, 8, 9$

The smallest 6-digit number is 1,03,689.

Q9: Convert 15 million into standard form.
Ans: 15 million in standard form is 15,000,000.

View Answer

In the Indian system of numeration:

$1 \text{ million} = 10,00,000$

So, 15 million is:

1,50,00,000

Q10: Using the International system of numeration, write the numeral for:
Seventy-two million five hundred thousand three hundred twenty-one.
Ans: The numeral for Seventy-two million five hundred thousand three hundred twenty-one is 72,500,321.

View Answer

In the International system of numeration, we write the number as: $72, 500, 321$ $72,500,321$

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FAQs on Word Problems: Large Numbers - Mathematics for Class 5

1. What are large numbers and why are they important in math?

Ans.Large numbers are numbers that have many digits, typically more than four. They are important in math because they help us understand and work with quantities that are very big, like populations, distances in space, or money in the economy.

2. How do you read large numbers correctly?

Ans.To read large numbers, you start from the left and group the digits into sets of three, calling each set a 'thousand', 'million', 'billion', etc. For example, the number 1,234,567 is read as "one million, two hundred thirty-four thousand, five hundred sixty-seven."

3. Can you give examples of word problems involving large numbers?

Ans.An example of a word problem could be: "A library has 1,500,000 books. If 250,000 books are checked out, how many books are left in the library?" This problem helps students practice subtraction with large numbers.

4. What strategies can help solve word problems with large numbers?

Ans.Strategies to solve word problems with large numbers include reading the problem carefully, identifying the important information, breaking the problem down into smaller parts, and using estimation to check if your answer is reasonable.

5. How can I practice word problems with large numbers at home?

Ans.You can practice by creating your own word problems using large numbers from real life, such as populations of cities, distances between countries, or costs of items. You can also find worksheets or online resources that focus on word problems involving large numbers.

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