Between 1 and 100, there are exactly 25 prime numbers. These numbers include 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. Each of these has only two divisors, 1 and itself. They are fundamental in mathematics, as they form the building blocks foRead more
Between 1 and 100, there are exactly 25 prime numbers. These numbers include 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. Each of these has only two divisors, 1 and itself. They are fundamental in mathematics, as they form the building blocks for all composite numbers through multiplication.
Among all integers, 2 is unique as the only even prime number. A prime number has exactly two divisors: 1 and itself. Any even number other than 2 is divisible by 2, making it composite rather than prime. For example, 4, 6, 8, and 10 all have additional divisors besides 1 and themselves, disqualifyiRead more
Among all integers, 2 is unique as the only even prime number. A prime number has exactly two divisors: 1 and itself. Any even number other than 2 is divisible by 2, making it composite rather than prime. For example, 4, 6, 8, and 10 all have additional divisors besides 1 and themselves, disqualifying them as primes. Hence, 2 is the sole even number meeting the prime number criteria.
Prime numbers under 20 include 2, 3, 5, 7, 11, 13, 17, and 19. To find pairs whose sums are multiples of 5, consider combinations like (2, 3), (7, 13), and (11, 19). Their sums are 5, 20, and 30, respectively, all divisible by 5. These pairs satisfy the given condition by adhering to both prime andRead more
Prime numbers under 20 include 2, 3, 5, 7, 11, 13, 17, and 19. To find pairs whose sums are multiples of 5, consider combinations like (2, 3), (7, 13), and (11, 19). Their sums are 5, 20, and 30, respectively, all divisible by 5. These pairs satisfy the given condition by adhering to both prime and divisibility properties, showing how different primes can combine to yield specific results.
Consecutive composite numbers appear when no prime numbers interrupt the sequence. Between 1 and 100, one such sequence is 90, 91, 92, 93, 94, 95, and 96. For example, 90 is divisible by 2, 91 by 7, and 92 by 2, ensuring they are composite. This stretch is uninterrupted by primes, as none of these nRead more
Consecutive composite numbers appear when no prime numbers interrupt the sequence. Between 1 and 100, one such sequence is 90, 91, 92, 93, 94, 95, and 96. For example, 90 is divisible by 2, 91 by 7, and 92 by 2, ensuring they are composite. This stretch is uninterrupted by primes, as none of these numbers meet the prime criterion of having exactly two divisors.
Creating lists of classmates’ birthplaces and languages showcases the diversity within a single classroom, representing India’s multicultural society. This exercise reveals the range of regional backgrounds and languages students bring, yet all share a common Indian identity. The activity fosters apRead more
Creating lists of classmates’ birthplaces and languages showcases the diversity within a single classroom, representing India’s multicultural society. This exercise reveals the range of regional backgrounds and languages students bring, yet all share a common Indian identity. The activity fosters appreciation for different cultures and demonstrates how diverse groups coexist harmoniously. By understanding each other’s origins, students gain a greater sense of respect and unity, embodying India’s unity in diversity within the classroom environment.
For more NCERT Solutions for Class 6 Social Science Chapter 8 Unity in Diversity, or ‘Many in the One’ Extra Questions and Answer:
How many prime numbers are there between 1 and 100?
Between 1 and 100, there are exactly 25 prime numbers. These numbers include 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. Each of these has only two divisors, 1 and itself. They are fundamental in mathematics, as they form the building blocks foRead more
Between 1 and 100, there are exactly 25 prime numbers. These numbers include 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. Each of these has only two divisors, 1 and itself. They are fundamental in mathematics, as they form the building blocks for all composite numbers through multiplication.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
Is there any even prime number other than 2?
Among all integers, 2 is unique as the only even prime number. A prime number has exactly two divisors: 1 and itself. Any even number other than 2 is divisible by 2, making it composite rather than prime. For example, 4, 6, 8, and 10 all have additional divisors besides 1 and themselves, disqualifyiRead more
Among all integers, 2 is unique as the only even prime number. A prime number has exactly two divisors: 1 and itself. Any even number other than 2 is divisible by 2, making it composite rather than prime. For example, 4, 6, 8, and 10 all have additional divisors besides 1 and themselves, disqualifying them as primes. Hence, 2 is the sole even number meeting the prime number criteria.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
Write three pairs of prime numbers less than 20 whose sum is a multiple of 5.
Prime numbers under 20 include 2, 3, 5, 7, 11, 13, 17, and 19. To find pairs whose sums are multiples of 5, consider combinations like (2, 3), (7, 13), and (11, 19). Their sums are 5, 20, and 30, respectively, all divisible by 5. These pairs satisfy the given condition by adhering to both prime andRead more
Prime numbers under 20 include 2, 3, 5, 7, 11, 13, 17, and 19. To find pairs whose sums are multiples of 5, consider combinations like (2, 3), (7, 13), and (11, 19). Their sums are 5, 20, and 30, respectively, all divisible by 5. These pairs satisfy the given condition by adhering to both prime and divisibility properties, showing how different primes can combine to yield specific results.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
Find seven consecutive composite numbers between 1 and 100.
Consecutive composite numbers appear when no prime numbers interrupt the sequence. Between 1 and 100, one such sequence is 90, 91, 92, 93, 94, 95, and 96. For example, 90 is divisible by 2, 91 by 7, and 92 by 2, ensuring they are composite. This stretch is uninterrupted by primes, as none of these nRead more
Consecutive composite numbers appear when no prime numbers interrupt the sequence. Between 1 and 100, one such sequence is 90, 91, 92, 93, 94, 95, and 96. For example, 90 is divisible by 2, 91 by 7, and 92 by 2, ensuring they are composite. This stretch is uninterrupted by primes, as none of these numbers meet the prime criterion of having exactly two divisors.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
As a class activity, make lists of (1) the birthplaces of at least 5 classmates and the birthplaces of their parents; (2) the students’ mother tongues and other languages known to them. Discuss the results in terms of diversity.
Creating lists of classmates’ birthplaces and languages showcases the diversity within a single classroom, representing India’s multicultural society. This exercise reveals the range of regional backgrounds and languages students bring, yet all share a common Indian identity. The activity fosters apRead more
Creating lists of classmates’ birthplaces and languages showcases the diversity within a single classroom, representing India’s multicultural society. This exercise reveals the range of regional backgrounds and languages students bring, yet all share a common Indian identity. The activity fosters appreciation for different cultures and demonstrates how diverse groups coexist harmoniously. By understanding each other’s origins, students gain a greater sense of respect and unity, embodying India’s unity in diversity within the classroom environment.
For more NCERT Solutions for Class 6 Social Science Chapter 8 Unity in Diversity, or ‘Many in the One’ Extra Questions and Answer:
https://www.tiwariacademy.com/ncert-solutions-class-6-social-science-chapter-8/
See less