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.
In the Indian system of numeration:
Therefore, 2 crore 50 lakh is written as:
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.
To write the distance in standard form, we use commas to separate the periods as per the Indian system of numeration.
In standard form:
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.
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.
The number 4 in 4,67,13,223 is in the ten-lakh place. Therefore, its place value is:
Q5: Write the numeral for the following by separating the periods:
(a) 603274087
(b) 37007690
Ans:
Using the Indian system of numeration:
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.
When comparing the numbers place by place:
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.
To form the greatest 5-digit number, arrange the digits in descending order:
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.
To form the smallest 6-digit number, arrange the digits in ascending order, ensuring that the first digit is not zero:
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.
In the Indian system of numeration:
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.
In the International system of numeration, we write the number as:
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