During revision, students quickly go through Class 7 Maths Extra Questions Chapter 1 Large Numbers Around Us Class 7 Extra Questions with Answers for clarity.
Class 7 Large Numbers Around Us Extra Questions
Class 7 Maths Chapter 1 Large Numbers Around Us Extra Questions
Class 7 Maths Chapter 1 Extra Questions – Large Numbers Around Us Extra Questions Class 7
Question 1.
The number 1,30,285, when written fully in words, one lakh thirty thousand two hundred eighty-five, has 41 letters. Give a 6-digit number name that has the most letters.
Solution:
7,77,777
In words: Seven lakh seventy-seven thousand seven hundred seventy-seven
Let’s count the letters:
- Seven: 5 letters
- Lakh: 4 letters
- Seventy-seven: 7 + 5 = 12 letters
- Thousand: 8 letters
- Seven hundred: 5 + 7 = 12 letters
- Seventy-seven: 12 letters
Total = 5 + 4+ 12 + 8 + 12+ 12 = 53 letters
So, 777777 has 53 letters.
Question 2.
How many thousands make a crore?
Solution:
1 crore = 1,00,00,000 = 10,000 thousands.
Question 3.
Write the numbers given below in both the Indian as well as the International systems:
(a) 4735108
(b) 924860
Solution:
In the Indian system:
(a) 47,35,108: Forty-seven lakh thirty-five thousand one hundred eight,
(b) 9,24,860: Nine lakh twenty-four thousand eight hundred sixty
In the International system:
(a) 4,735,108: Four million seven hundred thirty-five thousand one hundred eight.
(b) 924,860: Nine hundred twenty-four thousand eight hundred sixty.
Question 4.
Complete the following number pattern:
(a) 7 × 2 = ________
77 × 2 = ________
777 × 2 = ________
7777 × 2 = ________
77777 × 2 = ________
777777 × 2 = ________
Solution:
7 × 2 = 14
77 × 2 = 154
777 × 2 = 1554
7777 × 2 = 15554
77777 × 2 = 155554
777777 × 2 = 1555554
(b) 33 × 31 = ________
333 × 331 = ________
3333 × 3331 = ________
33333 × 33331 = ________
Solution:
33 × 31 = 1023
333 × 331 = 110223
3333 × 3331 = 11102223
33333 × 33331=1111022223
Question 5.
Make necessary reasonable assumptions and answer the following questions:
(a) If a computer processes 1,000 files per minute, can it process 1 crore files in a day?
(b) If a person drinks 3 litres of water daily, can they drink 1000 litres in a year?
(c) If a tap fills 600 litres of water every hour, can it fill a 100,000-litre tank in a day?
Solution:
(a) Total files processed in a day = 1000 × 60 × 24 = 14,40,0.
No, it cannot process 1 crore files in a day.
(b) Water consumed in a year = 3 × 365 = 1095 litres. Yes, it’s possible that a person can drink 1,000 litres in a year.
(c) In a day (24 hours), the tap fills 600 × 24 = 14400 litres. It cannot fill the entire tank in a day.
Question 6.
Obtain the closest of the following numbers by using any operation on the values given in the boxes.
| 300 | 7000 | 12000 |
| 800 | 1500 | 50000 |
(a) 21,500
(b) 43,950
Solution:
(a) The number closest to 21,500 can be obtained as:
12,0 × 2 – 1500 – 800 – 300 = 21,400
(b) The number closest to 43,950 can be obtained as:
12,0 × 3 + 7,000 + 3 × 300 = 43,900
Question 7.
A calculator has only ‘+1,000’, ‘+100’, and ‘+10’buttons. Write an expression describing the number of button clicks to be made for the following numbers:
(a) 850
(b) 2,140
(c) 10,500
(d) 7,53,020
Solution:
(a) 850: Expression: 8 × 100 + 5 × 10 = 13 clicks
(b) 2,140: Expression: 2 × 1,000 +1 × 100+ 4 × 10 = 7 clicks
(c) 10,500: Expression: 10 × 1,000 + 5 × 100= 15 clicks
(d) 7,53,020: Expression: 753 × 1,000 + 2 × 10 = 755 clicks
Very Short Answer Type Questions
Question 1.
Insert the commas at appropriate places according to Indian system of numeration.
(i) 2464056
(ii) 6896462
Answer:
According to Indian system of numeration,
(i) 24,64,056
(ii) 68,96,462
Question 2.
Write the expanded form of the following.
(i) 76496
(ii) 986256
Answer:
Expanded form of given numbers as
(i) 76,496 = 7 × 10,000 + 6 × 1,000 + 4 × 100 + 9 × 10 + 6
(ii) 9,86,256 = 9 × 1,00,000 + 8 × 10,000 + 6 × 1,000 + 2 × 100 + 5 × 10 + 6
Question 3.
Insert the commas at appropriate places according to International system of numeration.
(i) 2546726
(ii) 7869420
Answer:
According to International system of numeration
(i) 2,546,726
(ii) 7,869,420
Question 4.
A stadium can seat 1,25,000 people. How many more seats does it have than a stadium with a 1 lakh capacity?
Answer:
Here, seats in large stadium = 1,25,000 and
seats in small stadium = 1,00,000
∴ Difference = 1,25,000 – 1,00,000 = 25,000
Question 5.
If a person counts 1 number per second, how many numbers can they count in 1 hour?
Answer:
We know that 1 hour = 60 minutes
= 60 × 60
= 3,600 seconds
∵ 1 minute = 60 seconds
So, they can count 3,600 numbers.
Question 6.
The number 98,765 is closest to which lakh?
Answer:
We have, 98,765 is closer to 1,00,000
[rounding upto nearest lakh]
Question 7.
If one coin is 1 mm thick, how many coins are needed to make 1 metre stack?
Answer:
We know that 1 metre =1000 millimetres
∴ Number of coins required to make 1 metre stack
= 1000 ÷ 1
= 1000 coins
Question 8.
What is the value of 3 × 1,00,000 ?
Answer:
We have, 3 × 1,00,000 = 3,00,000
Question 9.
Write the number name of 7,25,000 in the Indian system.
Answer:
We have, seven
lakh twenty-five thousand.
Question 10.
A bus can carry 50 people. How many people can 2000 buses carry?
Answer:
Given, the total number of people in a bus =50
∴ The total number of people in 2000 buses
= 2,000 × 50 = 1,00,000 people
Question 11.
The price of a house is 98,45,000. Round it to the nearest crore.
Answer:
We have, 98,45,000 is closer to 1,00,00,000
[rounding upto nearest crore]
Question 12.
Multiply 100 × 1000.
Answer:
We have, 100 × 1,000 = 1,00,000
Question 13.
Multiply by shortcut 96 × 250.
Answer:
We have, 96 × 250 = 96 × \(\frac{1000}{4}\) = 24,000
Short Answer Type Questions
Question 1.
What are the smallest and greatest 8 -digit numbers?
Answer:
The smallest 8 -digit number is 1,00,00,000 and the largest 8 -digit number is 9,99,99,999.
Question 2.
Write the numeral for the following according to both system
(i) Thirty seven lakh forty eight thousand and seven hundred sixty three.
(ii) Thirty two million six hundred sixty thousand and five hundred five.
(iii) Twenty lakh four thousand four.
Answer:
According to the Indian system of numeration,
(i) 37,48,763
(ii) 3,26,60,505
(iii) 20,04,004
Question 3.
Estimate the sum of 1,49,360 and 2,39,981 to the nearest lakh.
Answer:
Here, 1,49,360 rounds upto 1,50,000
2,39,981 rounds upto 2,40,000
Estimated sum = 1,50,000 + 2,40,000 = 3,90,000
Question 4.
A factory produces 88,000 pens per day. How many pens will it produce in 25 days?
Answer:
Given, number of pens produced per day = 88,000 and number of days = 25
∴ Total pens and number of produced in 25 days
= 88,000 × 25 = 88,000 × \(\frac{100}{4}\) = 22,00,000
Question 5.
Convert 1 crore into the International number system.
Answer:
W e know, 1 crore = 1,00,00,000
In international system, group it as 10,000,000
i.e. Ten million
Question 6.
If each building floor is 4 metres high and the building has 250 floors, what is its height?
Answer:
Given, height of 1 floor = 4 m
and number of floors = 15
∴ The total height = 4 × 250 = 4 × \(\frac{1000}{4}\) = 1,000 metres
Question 7.
Round up 6,72,85,183 to the nearest crore.
Answer:
We have, ten lakh digit = 7(≥ 5) → round up
So, 6,72,85,183 rounds upto 7,00,00,000.
Question 8.
25 buses are carrying 1,200 students equally. How many students per bus?
Answer:
Given, the total students = 1,200
and number of buses = 25
∴ Students per bus = 1,200 ÷ 25 = 48
Question 9.
If one lakh people stand in a line stretching 38 km , how far will 10 lakh people stretch?
Answer:
We have, 10 lakh = 10 × 1 lakh
The distance = 38 × 10 = 380 km
Question 10.
A whale weighs about 1,500,000 kg. What is this number in words (Indian system)?
Answer:
We have, 1,500,000 = 15,00,000
Name Fifteen lakh kilograms
Question 11.
If 250 babies are born every minute, how many babies are born in 1 hour?
Answer:
We know, 1 hour = 60 minutes
∴ Number of babies born per hour = 250 × 60
= \(\frac{1,000}{4}\) × 60 = 15,000
Question 12.
A calculator has a +10,000 button. How many times must it be pressed to reach 1 lakh?
Answer:
We have, 1,00,000 ÷ 10,000 = 10
Question 13.
The Tedius Tens has only +10 buttons. How many times must it be pressed to reach 1,00,100 ?
Answer:
We have, 100,100 ÷ 10 = 10,010
Question 14.
How many times must the Handy Hundreds bepressed to reach 6,000 ?
Answer:
We know that Handy Hundreds has only + 100 button.
∴ To reach 6,000 , it should be pressed \(\frac{6,000}{100}\) = 60 times
Question 15.
How much money was collected from 1260 students of a school for a charity show, if each student contributed ₹ 250?
Answer:
Given, total number of students in school = 1,260
and contribution of money by each student = ₹ 250
∴ Total money collected = 1260 × 250 = 1,260 × \(\frac{1,000}{4}\)
= 315 × 1,000 = 3,15,000
Long Answer Type Questions
Question 1.
There are 1,00,000 rice varieties. If a person eats 3 varieties per day, will they be able to eat all of them in 10 years?
Answer:
We know that number of days in 1 year = 365
So, number of days in 10 years = 365 × 10 = 3,650 days
If he eats 3 varieties per day then 3 × 3,650
= 10,950 varieties can be eaten.
Since, 10,950 < 1,00,000, they cannot taste all.
Therefore, No, the person cannot taste all rice varieties in 10 years.
Question 2.
Write 4,05,06,078 in both Indian and International number system.
Answer:
Indian system
Place value notation 4,05,06,078 → Four crore five lakh six thousand seventy-eight.
International system
Place value notation 40,506,078 → Forty million five hundred six thousand seventy-eight.
Question 3.
Bengaluru’s population was 43,01,326 in 2001 and 84,25,970 in 2011. By how much did it increase, approximately?
Answer:
First, we round up or down accordingly to the nearest ten thousands.
∴ 43,01,326 is rounded down to 43,00,000 and 84,25,970 is rounded down to 84,20,000.
Now, the approximate increase in the population is
84,20,000 – 43,00,000 = 41,20,000.
Question 4.
Round up or down the number accordingly 3,87,69,957 to the nearest
(i) thousand
(ii) lakh
(iii) crore
Answer:
(i) Here, 3,87,69,957 is rounded upto 3,87,70,000.
(ii) Here, 3,87,69,957 is rounded upto 3,88,00,000.
(iii) Here, 3,87,69,957 is rounded upto 4,00,00,000.
Question 5.
Use patterns to find
(i) 1111 × 1111
(ii) 11111 × 11111
Answer:
We observe that
1 × 1 = 1
11 × 11 = 121
111 × 111 = 12321
and so on.
Here, when a number containing n ones is multiplied by itself, the result is a number with digits increasing from 1 to n then decreasing back to 1.
(i) We have, 1111 × 1111 = 1234321
(ii) We have, 11111 × 11111 = 123454321
Question 6.
Person A and person B are estimating the sum of 5,25,342 and 3,87,658 :
Person A, ‘The sum is near 9,00,000 and is less than 9,00,000’.
Person B, ‘The sum is near 10,00,000 and is more than 10,00,000’.
(i) Are these estimates correct? Whose estimate is closer to the sum?
(ii) Will the sum be greater than or less than 9,00,000 ? Why?
(iii) The exact value of 5, 25, 342 + 3, 87, 658 is ……..
Answer:
First, we round up or down accordingly to the nearest ten thousands.
∴ 5,25,342 is rounded down to 5,20,000 and 3,87,658 is rounded up to 3,90,000.
Now, adding these rounded numbers, we get
5,20,000 + 3,90,000 = 9,10,000
(i) The estimates of both person A and B are incorrect.
But the estimated sum is 9,10,000 which is closer to 9,00,000 than 10,00,000.
∴ Person A’s estimation is closer to the sum.
(ii) Since, the estimated sum is greater than 9,00,000.
∴ The sum will be greater than 9,00,000.
(iii) The exact value of 5,25,342 + 3,87,658 is 9,13,000.
Question 7.
Neha and Mandvi are estimating the value of 12,45,789-3,56,234.
Neha, ‘The difference is near 8,00,000 and is less than 8,00,000’.
Mandvi, ‘The difference is near 9,00,000 and is less than 9,00,000’.
(i) Are these estimates correct? Whose estimate is closer to the difference?
(ii) Will the difference be greater than or less than 8,50,000 ? Why?
(iii) The exact value of 12,45,789-3,56,234 is ……. .
Answer:
We first round up or down accordingly to the nearest ten thousands.
∴ 12,45,789 is rounded up to 12,50,000 and 3,56,234 is rounded down to 3,60,000.
Now, difference of these rounded numbers is
12,50,000 – 3,60,000 = 8,90,00
(i) Clearly, Neha’s estimation is incorrect and Mandvi is correct as the difference is less than 9,00,000.
∴ Mandvi’s estimation is closer to difference than 8,00,000.
(ii) The difference is greater than 8,50,000 because the estimated difference is 8,90,000 which is greater than 8,50,000.
(iii) The exact value of 12,45,789-3,56,234 is 8,89,555.
Question 8.
Write five nearest neighbours of 3,45,96,270.
Answer:
Here, the five nearest neighbours of 3,45,96,270 are given in the table below
Question 9.
Using Systematic Sippy, which has +1,+10,+100, +1,000,+10,000,+1,00,000, find a way to get 3,74,562. Note that it wants to be used as minimally as possible.
Answer:
Here, to get 3,74,562, using minimal number of buttons, we have the following way
∴ We have, (3 × 1,00,000) + (7 × 10,000) + (4 × 1,000)
+ (5 × 100) + (6 × 10) + (2 × 1)
= 3,00,000 + 70,000 + 4,000 + 500 + 60 + 2
= 3,74,562
Therefore, total number of minimal clicks made to get 3,74,562 is 27.
Question 10.
Use the fewest clicks on Chitti’s calculator to get 83,000 using +10,000,+1000 and + 100 by two different ways.
Answer:
Here, to get 83,000 , we have the following ways.
∴ We have, (8 × 10,000) + (3 × 1,000) = 80,000 + 3,000
= 83,000
and 8 × 10000 + 30 × 100 = 80000 + 3000 = 83000
Note that sum of number of clicks made in Way 1 is 11 and in Way 2 is 38.
Skill Based Questions
Question 1.
Fill the following table by placing commas and writing their number names according to Indian system :
S.No. Given numbers Notation Number names
(i) 234567
(ii) 987654321
(iii) 567890123
(iv) 12345678
(v) 10000001
Answer:
Question 2.
A school is planning a trip for students. The total cost of the trip is ₹ 3,75,678 and the school has collected only ₹ 1,89,543.
(i) Estimate the remaining amount needed to cover the trip costs by rounding each amount to nearest ten thousands.
(ii) Is the actual needed greater than or less than 2,00,000 ? Why?
(iii) What is the actual amount needed?
Answer:
(i) ₹ 1,90,000
(ii) less than 2,00,000
(iii) ₹ 1,86,135
Question 3.
A company sold two products. The first product is sold for ₹ 6,89,345 and the second product is sold for ₹ 4,56,789.
(i) Estimate the total revenue made by the company.
(ii) Is the actual revenue greater than or less than 12,00,000 ? Why?
(iii) What is the actual revenue made by the company?
Answer:
(i) ₹ 11,50,000
(ii) less than 12,00,000
(iii) ₹ 11,46,134
Class 7 Maths Chapter 1 Extra Questions in Hindi हमारे आस पास की बड़ी संख्याएँ
Large Numbers Around Us Class 7 Extra Questions in Hindi
A. दक्षता आधारित प्रश्न (MCQs)
प्रश्न 1.
अमेरिकी पद्धति में, संख्या 1,00,00,000 को पढ़ा जाता है :
(a) एक मिलियन
(b) दस मिलियन
(c) सौ मिलियन
(d) एक बिलियन
उत्तर :
(b) दस मिलियन
प्रश्न 2.
कौन सबसे बड़ा है ?
(a) 1 करोड़
(b) 1 मिलियन
(c) 10000 हजार
(d) 1000 लाख
उत्तर :
(d) 1000 लाख
प्रश्न 3.
1 मिलियन में कितने शून्य (0) होते हैं?
(a) 9
(b) 8
(c) 7
(d) 6
उत्तर :
(d) 6
प्रश्न 4.
संख्या पाँच करोड़ पाँच लाख छः सौ साठ को इस रूप में लिखा जाता है :
(a) 5,05,00,660
(c) 55,06,670
(b) 5,50,06,060
(d) 55,06,760
उत्तर :
(a) 5,05,00,660
प्रश्न 5.
निकटतम हजार तक (65673 – 62345 ) है :
(a) 5000
(b) 4000
(c) 3000
(d) 2000
उत्तर :
(c) 3000
B. स्थिति अध्ययन
प्रश्न 1.
अध्यापक ने ब्लैकबोर्ड पर संख्या दो करोड़ तीन लाख चार सौ इक्यावन लिखी ।
(i) इस संख्या को अंकों में किस प्रकार लिखा जा सकता है?
(a) 2,30,00,451
(b) 2,03,00,451
(c) 2,03,04,510
(d) 2,03,04,501
उत्तर :
(b) 2,03,00,451
(ii) निकटतम हजार तक, यह संख्या है :
(a) 2,30,00,000
(b) 2,30,04,000
(c) 2,03,00,000
(d) 2,03,04,000
उत्तर :
(c) 2,03,00,000
(iii) निकटतम लाख तक, यह संख्या है :
(a) 2,03,00,000
(c) 2,30,03,000
(b) 2,04,00,000
(d) 2,30,04,000
उत्तर :
(a) 2,03,00,000
(iv) निकटतम सैकड़े तक, यह संख्या है :
(a) 2,30,00,500
(b) 2,03,00,500
(c) 2,30,00,400
(d) 2,03,00,450
उत्तर :
(b) 2,03,00,500
(v) निकटतम दहाई तक यह संख्या है :
(a) 2,03,00,450
(b) 2,03,00,460
(c) 2,30,00,450
(d) 2,30,00,460
उत्तर :
(a) 2,03,00,450
प्रश्न 2.
जनवरी 2025 में भारत की जनसंख्या का आकलन 1461163351 था तथा इसके चार शहरों A, B, C और D की जनसंख्या का आकलन क्रमशः 67346212, 48936776, 79836276 98796140
(i) भारतीय अंकन पद्धति में भारत की जनसंख्या कितनी है ?
(ii) दोनों शहरों B और D की जनसंख्याओं में क्या अंतर है?
(iii) शहर D की अमेरिकी पद्धति में जनसंख्या क्या है?
(iv) शहर A और C की कुल जनसंख्या क्या है ?
(v) शहर A की जनसंख्या निकटतम दस हजार तक क्या है?
उत्तर :
(i) एक अरब छियालीस करोड़ ग्यारह लाख तिरेसठ हजार तीन सौ इक्यावन
(ii) 49859364,
(iii) अठानवे मिलियन सात सौ छियानवे हजार एक सौ चालीस
(iv) 147182488,
(v) 67340000.
C. मिलान कीजिए
प्रश्न 1.
स्तंभ I का स्तंभ II से मिलान कीजिए :
table-1
उत्तर :
table
D. अभिकथन – कारण प्रश्न
निम्नलिखित में से प्रत्येक प्रश्न में दो कथन दिए गए हैं। एक को अभिकथन (A) और दूसरे को कारण (R) कहा गया है। आपको दिए गए चार विकल्पों में से सही विकल्प का चुनाव करना है ।
(a) दोनों कथन (A) और (R) सही हैं, तथा (A) का (R) सही स्पष्टीकरण है।
(b) दोनों कथन (A) और (R) सही हैं, परंतु (A) का (R) सही स्पष्टीकरण नहीं है।
(c) (A) सही है, परंतु (R) सही नहीं है।
(d) (R) सही है, परंतु (A) सही नहीं है।
प्रश्न 1.
(A) : 10,000,000 को एक मिलियन पढ़ा जाता है।
(R) : अमेरिकी पद्धति में, दाएँ से बाएँ तक प्रत्येक तीन अंकों के बाद अल्प विरामों को लगाया जाता है।
उत्तर :
(d) (R) सही है, परंतु (A) सही नहीं है।
प्रश्न 2.
(A) : यदि एक व्यक्ति प्रतिदिन चावल की 3 किस्मों को खाता है, तो वह 100 वर्षों में चावल की 1 लाख किस्मों का स्वाद ले सकता है।
(R) : 3 × 365 × 100 = 109500 है।
उत्तर :
(a) दोनों कथन (A) और (R) सही हैं, तथा (A) का (R) सही स्पष्टीकरण है।
प्रश्न 3.
(A) : दो 2 अंकीय संख्याओं का गुणनफल एक 3 अंकीय संख्या हो सकता है।
(R) : 99 × 20 = 1980 है।
उत्तर :
(b) दोनों कथन (A) और (R) सही हैं, परंतु (A) का (R) सही स्पष्टीकरण नहीं है।
प्रश्न 4.
(A) निकटतम दस तक दहाई 764596 संख्या 764600 है।
(R) : निकटतम हजार तक 748275 संख्या 749000 है।
उत्तर :
(c) (A) सही है, परंतु (R) सही नहीं है।
प्रश्न 5.
(A) : दो 3- अंकीय संख्याओं का गुणनफल सदैव एक 6 अंकीय संख्या होगा ।
(R) : 3 + 3 = 6 है। 3+3
उत्तर :
(b) दोनों कथन (A) और (R) सही हैं, परंतु (A) का (R) सही स्पष्टीकरण नहीं है।
E. सत्य / असत्य
प्रश्न 1.
दो 4 अंकीय संख्याओं का गुणनफल एक 8 या 9- अंकीय संख्या हो सकता है।
उत्तर :
सत्य,
प्रश्न 2.
संख्या 1,03,000, संख्या 1 लाख से कम है।
उत्तर :
असत्य ।
प्रश्न 3.
1 करोड़ 1 मिलियन से अधिक है।
उत्तर :
सत्य,
प्रश्न 4.
\(\frac{10000}{4}\) = 2500 है।
उत्तर :
सत्य,
प्रश्न 5.
संख्या 68662 निकटतम सौ तक 68600 है।
उत्तर :
असत्य ।
F. रिक्त स्थानों को भरिए
1. 8 अंकों की न्यूनतम संख्या ________ है।
उत्तर :
10000000,
2. 1 करोड़ : ________ मिलियन होता है।
उत्तर :
10
3. निकटतम हजार तक संख्या 74958320 ________ है।
उत्तर :
74958000
4. निकटतम सैकड़े तक, संख्या 46859285 ________ है ।
उत्तर :
46859300
5. दस लाख ________ मिलियन के बराबर है।
उत्तर :
एक ।
G. अति संक्षिप्त उत्तरीय प्रश्न
प्रश्न 1.
6,23,000 के लिए भारतीय पद्धति में संख्या नाम लिखिए ।
हल:
छः लाख तेईस हजार
प्रश्न 2.
निकटतम दस हजार तक 7845237 को लिखिए।
हल :
7850000
प्रश्न 3.
एक संक्षिप्त विधि द्वारा गुणनफल 96 × 250 ज्ञात कीजिए।
हल :
96 × 250 = 96 × \(\frac{1000}{8}\)
= 12 × 1000 = 12000
प्रश्न 4.
यदि एक बस में 50 व्यक्ति जा सकते हैं, तो 2000 बसों में कितने व्यक्ति जा सकते हैं?
हल:
व्यक्तियों की संख्या = 50 × 2000
= \(\frac{100}{2}\) × 2000 = 100 × 1000 100 × 1000
= 100000 है ।
प्रश्न 5.
निम्नलिखित में, अमेरिकी पद्धति के अनुसार अल्प विराम लगाइए :
(a) 2464065
(b) 8769423
हल :
(a) 2,464,065
(b) 8,769,423
H. संक्षिप्त उत्तरीय प्रश्न
प्रश्न 1.
9 अंकीय न्यूनतम और अधिकतम संख्याएँ लिखिए।
हल:
न्यूनतम 9 – अंकीय संख्या = 10,00,00,000
अधिकतम 9 अंकीय संख्या = 99,99,99,999
प्रश्न 2.
एक फैक्ट्री प्रतिदिन 84000 पेंसिलें निर्मित करती है । उस फैक्ट्री द्वारा 25 दिन में निर्मित की जाने वाली पेंसिलों की संख्या ज्ञात कीजिए ।
हल:
पेंसिलों की संख्या
= 84000 × 25
= 84000 × \(\frac{100}{4}\)
= 21000 × 100
= 21,00,000.
प्रश्न 3.
यदि किसी भवन के प्रत्येक तल की ऊँचाई 4 मी. है और उसमें 250 तल हैं, तो उस भवन की ऊँचाई ज्ञात कीजिए।
हल:
भवन की ऊँचाई
= 4 × 250 मी.
= 4 × \(\frac{1000}{4}\)
= 1 × 1000
= 1000. मी.
प्रश्न 4.
कोई स्कूल एक चैरिटी शो के लिए, प्रत्येक विद्यार्थी से ₹250 एकत्रित करता है। यदि विद्यार्थियों की संख्या 1280 है, तो इस शो के लिए एकत्रित कुल धनराशि ज्ञात कीजिए।
हल :
कुल धनराशि = ₹ 1280 × 250
= ₹ 1280 × \(\frac{1000}{4}\)
= 320 × 1000
= 320000
प्रश्न 5.
बयालीस मिलियन छः सौ छः हजार सात सौ पैंसठ को (i) भारतीय पद्धति और (ii) अमेरिकी पद्धति दोनों में लिखिए।
हल :
(i) 4,26,06,765;
(ii) 42,606,765
I. दीर्घ उत्तरीय प्रश्न
प्रश्न 1.
इस पैटर्न को देखिए :
6 × 7 = 42
66 × 67 = 4422
666 × 667 = 444222
तथा अगली तीन पंक्तियाँ लिखिए ।
हल:
6 × 7 = 42
66 × 67 = 4422
666 × 667 = 444222
6666 × 6667 = 44442222
66666 × 66667 = 4444422222
666666 × 666667 = 444444222222
प्रश्न 2.
संख्या 35596270 के पाँच निकटतम पड़ोसी लिखिए।
हल:
पाँच निकटतम पड़ोसी नीचे दिए गए हैं :
3,55,96,000 – निकटतम हजार
3,56,00,000 – निकटतम दस हजार
3,56,00,000 – निकटतम लाख
3,60,00,000 – निकटतम दस लाख
4,00,00,000 – निकटतम करोड़
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