Write the following numbers in the above base-5 system using the symbols in Table 2 : 15, 50,137, 293, 651. Class 8

Write the following numbers in the above base-5 system using the symbols in Table 2 : 15, 50,137, 293, 651. Class 8

Question 1.

Write the following numbers in the above base-5 system using the symbols in Table 2 :15, 50,137, 293, 651. Class 8

Solution:

Question 2.

Is there a number that cannot be represented in our base-5 system above? Why or why not? Class 8

Solution:

Theoretically, we can represent every number in this system. But with the use of only six symbols given in the textbook, it will not be possible to represent larger numbers like 10000000, etc.

Question 3.

Compute the landmark numbers of a base-7 system. In general, what are the landmark numbers of a base-n system?

The landmark numbers of a base-n number system are the powers of n starting from n⁰ = 1, n, n², n³,... Class 8

Solution:

These numbers are 7⁰ = 1, 7¹ = 7, 7² = 49, 7³ = 343, 7⁴ = 2401, etc.

For base-n system, numbers are 1, n, n², n³, n⁴, and so on.