Class 8 Exam > Class 8 Questions > HOW MANY NUMBERS LIE BETWEEN THE SQUARES OF T...
Start Learning for Free
HOW MANY NUMBERS LIE BETWEEN THE SQUARES OF THE FOLLOWING NUMBERS :
(i) 12and 13
(ii) 25 and 26
(iii) 99 and 100?
(i) 12and 13
(ii) 25 and 26
(iii) 99 and 100?
Most Upvoted Answer
HOW MANY NUMBERS LIE BETWEEN THE SQUARES OF THE FOLLOWING NUMBERS :(i)...
Understanding the Problem
To find how many numbers lie between the squares of two consecutive integers, we need to calculate the square of each number and then determine the numbers that fall in between.
Calculations for Each Case
1. Between 12 and 13:
- Square of 12: 12 * 12 = 144
- Square of 13: 13 * 13 = 169
- Numbers between 144 and 169:
- The numbers are: 145, 146, 147, ..., 168.
- Total count: 169 - 144 - 1 = 24.
2. Between 25 and 26:
- Square of 25: 25 * 25 = 625
- Square of 26: 26 * 26 = 676
- Numbers between 625 and 676:
- The numbers are: 626, 627, 628, ..., 675.
- Total count: 676 - 625 - 1 = 50.
3. Between 99 and 100:
- Square of 99: 99 * 99 = 9801
- Square of 100: 100 * 100 = 10000
- Numbers between 9801 and 10000:
- The numbers are: 9802, 9803, ..., 9999.
- Total count: 10000 - 9801 - 1 = 198.
Summary of Results
- Numbers between 12 and 13: 24
- Numbers between 25 and 26: 50
- Numbers between 99 and 100: 198
Conclusion
By calculating the squares of consecutive integers and finding the range between them, we can easily determine the total numbers that exist in that range. Each case illustrates a clear method to arrive at the answer.
To find how many numbers lie between the squares of two consecutive integers, we need to calculate the square of each number and then determine the numbers that fall in between.
Calculations for Each Case
1. Between 12 and 13:
- Square of 12: 12 * 12 = 144
- Square of 13: 13 * 13 = 169
- Numbers between 144 and 169:
- The numbers are: 145, 146, 147, ..., 168.
- Total count: 169 - 144 - 1 = 24.
2. Between 25 and 26:
- Square of 25: 25 * 25 = 625
- Square of 26: 26 * 26 = 676
- Numbers between 625 and 676:
- The numbers are: 626, 627, 628, ..., 675.
- Total count: 676 - 625 - 1 = 50.
3. Between 99 and 100:
- Square of 99: 99 * 99 = 9801
- Square of 100: 100 * 100 = 10000
- Numbers between 9801 and 10000:
- The numbers are: 9802, 9803, ..., 9999.
- Total count: 10000 - 9801 - 1 = 198.
Summary of Results
- Numbers between 12 and 13: 24
- Numbers between 25 and 26: 50
- Numbers between 99 and 100: 198
Conclusion
By calculating the squares of consecutive integers and finding the range between them, we can easily determine the total numbers that exist in that range. Each case illustrates a clear method to arrive at the answer.
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Similar Class 8 Doubts
Top Courses for Class 8View all
HOW MANY NUMBERS LIE BETWEEN THE SQUARES OF THE FOLLOWING NUMBERS :(i) 12and 13(ii) 25 and 26(iii) 99 and 100?
Question Description
HOW MANY NUMBERS LIE BETWEEN THE SQUARES OF THE FOLLOWING NUMBERS :(i) 12and 13(ii) 25 and 26(iii) 99 and 100? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about HOW MANY NUMBERS LIE BETWEEN THE SQUARES OF THE FOLLOWING NUMBERS :(i) 12and 13(ii) 25 and 26(iii) 99 and 100? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for HOW MANY NUMBERS LIE BETWEEN THE SQUARES OF THE FOLLOWING NUMBERS :(i) 12and 13(ii) 25 and 26(iii) 99 and 100?.
HOW MANY NUMBERS LIE BETWEEN THE SQUARES OF THE FOLLOWING NUMBERS :(i) 12and 13(ii) 25 and 26(iii) 99 and 100? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about HOW MANY NUMBERS LIE BETWEEN THE SQUARES OF THE FOLLOWING NUMBERS :(i) 12and 13(ii) 25 and 26(iii) 99 and 100? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for HOW MANY NUMBERS LIE BETWEEN THE SQUARES OF THE FOLLOWING NUMBERS :(i) 12and 13(ii) 25 and 26(iii) 99 and 100?.
Solutions for HOW MANY NUMBERS LIE BETWEEN THE SQUARES OF THE FOLLOWING NUMBERS :(i) 12and 13(ii) 25 and 26(iii) 99 and 100? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of HOW MANY NUMBERS LIE BETWEEN THE SQUARES OF THE FOLLOWING NUMBERS :(i) 12and 13(ii) 25 and 26(iii) 99 and 100? defined & explained in the simplest way possible. Besides giving the explanation of
HOW MANY NUMBERS LIE BETWEEN THE SQUARES OF THE FOLLOWING NUMBERS :(i) 12and 13(ii) 25 and 26(iii) 99 and 100?, a detailed solution for HOW MANY NUMBERS LIE BETWEEN THE SQUARES OF THE FOLLOWING NUMBERS :(i) 12and 13(ii) 25 and 26(iii) 99 and 100? has been provided alongside types of HOW MANY NUMBERS LIE BETWEEN THE SQUARES OF THE FOLLOWING NUMBERS :(i) 12and 13(ii) 25 and 26(iii) 99 and 100? theory, EduRev gives you an
ample number of questions to practice HOW MANY NUMBERS LIE BETWEEN THE SQUARES OF THE FOLLOWING NUMBERS :(i) 12and 13(ii) 25 and 26(iii) 99 and 100? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup