write the numbers between smallest whole number also show their difference using number line
Answers
Answer:
0 is the smallest whole no
Answer:
According to the problem statement, we are required to find out the number of whole numbers lying between the smallest whole number and the greatest two-digit number.
Now, from the definition of whole number, the smallest possible whole number is 0. In the number system, the greatest possible two-digit number is 99.
Now, the series of numbers lying between 0 and 99 can be represented as: {1, 2, 3, 4………97, 98}.
The above series forms and A.P. whose first term is 1 and last term is 98 with the common difference of 1. By using the general expansion of A.P., we get l=a+(n−1)d
On putting First term a = 1, last term l = 98, and common difference d = 1, we get
98=1+(n−1)1n−1=98−1n−1=97n=97+1n=98
Therefore, the number of numbers lying between the smallest whole number and greatest two-digit number is 98.
Hence, option (d) is correct.
Note: This problem can be alternatively solved by simple observation of a series of numbers lying between 0 and 99. Excluding 0 and 99, we have a total 98 whole numbers. Therefore, the answer is 98.
Step-by-step explanation: