Question

(a) Find how many 3 digit numbers are even?

Answer 1

Answer:

450

Step-by-step explanation:

There are total 900 3 digit numbers from 100 to 999 . Half of them odd and half are even .

Answer 2

Answers : The number of 3 digit even numbers is 450.

Concept : Series and Progressions

Given : 3 digit even numbers

To Find : How many 3 digit even numbers are even.

Step-by-step explanation:

The 3 digit even numbers are :

100, 102, 104, 106, ..., 998

To find the number of even numbers in the series, A.P is used.

First term = 100

Common difference = 2

We know that , $a_{n} = a_{1} + (n - 1)d$

⇒ 998 = 100 + (n - 1) * 2

⇒ 898 = 2(n - 1)

⇒ n - 1 = 449

∴ n = 450

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