Page 26 - Math_Genius_V1.0_C2_Flipbook

E:\Working\Focus_Learning\Math_Genius_2_(09-10-2023)\Open_Files\Chap_01
\ 29-Feb-2024 Bharat Arora Proof-6 Reader’s Sign _______________________ Date __________

example: Arrange the numbers 250, 168, 900, 525 in descending order.

Solution: All the given numbers are of 3-digits. So, we compare the H T O

digits at hundreds place first. 2 5 0

We see that 9 > 5 > 2 > 1 1 6 8
So, the descending order of numbers is 9 0 0

900 > 525 > 250 > 168 5 2 5

FORMatION OF tHE GREatESt aND SMaLLESt 3-DIGIt NUMBERS

Let us form the numbers using digits 3, 8 and 6.
H T O H T O
Keeping 3 at hundreds place, we have two numbers 3 6 8 and 3 8 6.

Keeping 6 at hundreds place, we have two numbers 6 3 8 and 6 8 3.

Keeping 8 at hundreds place, we have two numbers 8 3 6 and 8 6 3.

Among the six numbers so formed, 368 is the smallest and 863 is the greatest number.

If we take a close look at these numbers, we Note
observe that 368 has the digits in ascending order Zero is never placed in the highest

and 863 has the digits in descending order. place while forming the smallest
3-digit numbers. It is placed in the
Thus, we can say: second highest place.
For example, the smallest number
• To form the greatest number, we arrange the formed using the digits 5, 8 and 0
given digits in descending order. is 508.
058 is not a 3-digit number. It
• To form the smallest number, we arrange the is actually 58, which is a 2-digit
number.
given digits in ascending order.
example: Write all the 3-digit numbers that contain the digits 7, 2 and 5. Also, find

the smallest and the greatest number among these numbers and write their number

names.
Solution: 3-digit numbers that contain 7, 2 and 5 are: 725, 752, 527, 572, 257, 275.

Smallest number: 257 Two hundred fifty-seven

Greatest number: 752 Seven hundred fifty-two

Remember
987 is the greatest 3-digit number which has all three distinct digits in it and 102 is the
smallest 3-digit number which has all three distinct digits in it.

24 Mathematics-2