Numbers have unique properties that make mathematics interesting and fun to explore. In Class 8 Math Ch 16 Playing with Numbers Ex 16.1, students learn to identify patterns and solve problems related to divisibility, factors, and multiples. This exercise introduces important concepts such as prime numbers, composite numbers, and rules for checking divisibility by different numbers.
By practicing Class 8 Math Ch 16 Playing with Numbers Ex 16.1, students develop logical thinking and problem-solving skills. Understanding these basic number properties is essential not only for mathematics but also for applications in science, computer programming, and daily life. This chapter lays the foundation for more complex topics like algebra and number theory.
Class 8 Math Ch 16 Playing with Numbers Ex 16.1 – Textbook
A. Find the values of the letters in each of the following and give reasons for the steps involved.
Ex 16.1 Class 8 Maths
Question 1.
Solution:
Ex 16.1 Class 8 Maths Question 2.
Solution:
Ex 16.1 Class 8 Maths Question 3.
Solution:
Ex 16.1 Class 8 Maths Question 4.
Solution:
Ex 16.1 Class 8 Maths Question 5.
Solution:
3 × B = B
⇒ B = D
3 × A = CA
⇒ 3 × 5 = 15
Thus A = 5 and C = 1
Hence A = 5, B = 0 and C = 1
Ex 16.1 Class 8 Maths Question 6.
Solution:
5 × B = B
⇒ B = 0 or 5
5 × A = CA
5 × 5 = 25
Only possible when B = 0
Thus A = 5 and C = 2
Hence A = 5, B = 0 and C = 2
Ex 16.1 Class 8 Maths Question 7.
Solution:
B × 6 = B
6 × 4 = 24 → B = 4 and 2 is carried to
6 × A = BB
⇒ 6 × 7 = 42 + 2 (carried on) = 44
Thus B = 7
Hence A = 7 and B = 4
Ex 16.1 Class 8 Maths Question 8.
Solution:
1 + B = 0
1 + 9 = 10 → unit digit is 0 and 1 is carried to A
+ 1 +1 (carried on) = B = 9
A + 2 = 9 ⇒ A = 9 – 2 = 7
Hence A = 7 and B = 9
Ex 16.1 Class 8 Maths Question 9.
Solution:
B + 1 = 8 ⇒ B = 8 – 1 = 7
A + B = a number with unit digit 1
A + B = 11
⇒ A + 7 = 11
⇒ A = 11 – 7 = 4 (1 Carried to)
Now 1 carried on + 2 + A = B
3 + A = 7
⇒ A = 7 – 3 = 4
Hence A = 4, B = 7
Ex 16.1 Class 8 Maths Question 10.
Solution:
9 = A + B
9 = 1 + 8 or 2 + 7 or 3 + 6 or 4 + 5 or 8 + 1 or 7 + 2 or 6 + 3 or 5 + 4 or 0 + 9 or 9 + 0
Now 0 is required at unit place
2 + A = 10
⇒ A = 10 – 2 = 8
B = 9 – 8 = 1
1 + 6 + 1 (carried on) = A = 8
Hence A = 8 and B = 1
In conclusion, Class 8 Math Ch 16 Playing with Numbers Ex 16.1 helps students build a strong understanding of number properties, divisibility rules, and patterns. This exercise encourages logical thinking and sharpens problem-solving skills essential for higher math concepts. By practicing the questions in Class 8 Math Ch 16 Playing with Numbers Ex 16.1, students become confident in handling number puzzles and divisibility tests. Mastery of these basics lays a solid foundation for future topics in mathematics. Overall, this exercise is a valuable part of the Class 8 math curriculum, fostering analytical abilities and numerical fluency
📘 Math & Science Solutions by Class
🔹 Class 10
🔹 Class 9
🔹 Class 8
🔹 Class 7
🔹 Class 6
🔹 Class 12
🔹 Class 11
- Class 11 Math Solutions
- Class 11 Physics Solutions
- Class 11 Chemistry Solutions
- Class 11 Biology Solutions
For the official Class 8 Mathematics Solutions, you can visit:
- NCERT Textbooks (for Class 8):