Question

What is the greatest 4 digit even number .

Answer 1

Answer:

9998 is the right answer.

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Answer 2

The greatest 4 digit even number = 9998

Given :

4 digit number

To find :

The greatest 4 digit even number

Solution :

Step 1 of 2 :

Write down greatest 4 digit number

The greatest 4 digit number = 9999

Step 2 of 2 :

Find the greatest 4 digit even number

First we check 9999 is even or odd

$\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{}}}&{\underline{\sf{\:\:4999\:\:}}}\\ {\underline{\sf{2}}}& {\sf{9999}} \\{\sf{}}& \underline{\sf{8 \: \: \: \: \: \: \: }} \\ {\underline{\sf{}}}&{\sf{\:19 \: \: \: \: \: \: }} \\{\sf{}}& \underline{\sf{ 18 \: \: \: \: \: }} \\ {\underline{\sf{}}}& {\sf{ 19}} \\{\sf{}}& \underline{\sf{ 18}} \\ {\underline{\sf{}}}& {\sf{ \: \: \: \: \: \: 19}} \\{\sf{}}& \underline{\sf{ \: \: \: \: \: \: 18}} \\ {\underline{\sf{}}}& {\sf{\: \: \: \: \: \: \: \: \: \: 1\:\:}}{\sf{}}&{\sf{\:\:\:\:}}\end{array}\end{gathered}$

We see that 9999 is not completely divisible by 2

So 9999 is a odd number

Therefore the greatest 4 digit even number is obtained by subtracting 1 from 9999

Hence the required greatest 4 digit even number

= 9999 - 1

= 9998

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