SSC CHSL Exam > SSC CHSL Questions > How many zeroes will be there in the expansio...
Start Learning for Free
How many zeroes will be there in the expansion of the expression
1¹×2²×3³×……..×(100)^100?
1¹×2²×3³×……..×(100)^100?
Most Upvoted Answer
How many zeroes will be there in the expansion of the expression1¹×2²×...
Counting the Zeroes in the Expression
- To find the number of zeroes in the expansion of the given expression, we need to analyze the factors that contribute to the formation of zeroes.
Factors to Consider
- Zeroes are formed when a number is multiplied by 10, which is the product of 2 and 5.
- In the given expression, we have terms like 10, 20, 30, ..., 100 which contain at least one factor of 2 and one factor of 5.
Analysis of Factors in the Expression
- The factors of 2 in the expression are 2, 4, 6, 8, ..., 100. There are 50 such factors.
- The factors of 5 in the expression are 5, 10, 15, 20, ..., 100. There are 20 such factors.
- As we need both 2 and 5 to form a zero, the number of zeroes will be equal to the minimum of the factors of 2 and 5, which is 20.
Conclusion
- Therefore, there will be 20 zeroes in the expansion of the expression 1¹×2²×3³×……..×(100)^100.
- To find the number of zeroes in the expansion of the given expression, we need to analyze the factors that contribute to the formation of zeroes.
Factors to Consider
- Zeroes are formed when a number is multiplied by 10, which is the product of 2 and 5.
- In the given expression, we have terms like 10, 20, 30, ..., 100 which contain at least one factor of 2 and one factor of 5.
Analysis of Factors in the Expression
- The factors of 2 in the expression are 2, 4, 6, 8, ..., 100. There are 50 such factors.
- The factors of 5 in the expression are 5, 10, 15, 20, ..., 100. There are 20 such factors.
- As we need both 2 and 5 to form a zero, the number of zeroes will be equal to the minimum of the factors of 2 and 5, which is 20.
Conclusion
- Therefore, there will be 20 zeroes in the expansion of the expression 1¹×2²×3³×……..×(100)^100.
Community Answer
How many zeroes will be there in the expansion of the expression1¹×2²×...
Yes that's. right.
|
Explore Courses for SSC CHSL exam
|
|
Similar SSC CHSL Doubts
Top Courses for SSC CHSLView all
How many zeroes will be there in the expansion of the expression1¹×2²×3³×……..×(100)^100?
Question Description
How many zeroes will be there in the expansion of the expression1¹×2²×3³×……..×(100)^100? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about How many zeroes will be there in the expansion of the expression1¹×2²×3³×……..×(100)^100? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many zeroes will be there in the expansion of the expression1¹×2²×3³×……..×(100)^100?.
How many zeroes will be there in the expansion of the expression1¹×2²×3³×……..×(100)^100? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about How many zeroes will be there in the expansion of the expression1¹×2²×3³×……..×(100)^100? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many zeroes will be there in the expansion of the expression1¹×2²×3³×……..×(100)^100?.
Solutions for How many zeroes will be there in the expansion of the expression1¹×2²×3³×……..×(100)^100? in English & in Hindi are available as part of our courses for SSC CHSL.
Download more important topics, notes, lectures and mock test series for SSC CHSL Exam by signing up for free.
Here you can find the meaning of How many zeroes will be there in the expansion of the expression1¹×2²×3³×……..×(100)^100? defined & explained in the simplest way possible. Besides giving the explanation of
How many zeroes will be there in the expansion of the expression1¹×2²×3³×……..×(100)^100?, a detailed solution for How many zeroes will be there in the expansion of the expression1¹×2²×3³×……..×(100)^100? has been provided alongside types of How many zeroes will be there in the expansion of the expression1¹×2²×3³×……..×(100)^100? theory, EduRev gives you an
ample number of questions to practice How many zeroes will be there in the expansion of the expression1¹×2²×3³×……..×(100)^100? tests, examples and also practice SSC CHSL tests.
|
|
Explore Courses for SSC CHSL exam
|
|
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