Knowing Our Numbers



Numbers forming using given digits

Try These (1) Solution

Question (1) Use the given digits without repetition and make the greatest and smallest 4-digit numbers

(a) 2, 8, 7, 4

Answer

The greatest number: 8742

And, the smallest number: 2478

(b) 9, 7, 4, 1

Answer

The greatest number: 9741

And, the smallest number: 1479

(c) 4, 7, 5, 0

Answer

The greatest number: 7540

And, the smallest number: 4057

(d) 1, 7, 6, 2

Answer

The greatest number: 7621

And, the smallest number: 1267

(d) 5, 4, 0, 3

Answer

The greatest number: 3540

And, the smallest number: 3045

Question (2) Now make the greatest and the smallest 4-digit numbers by using any one digit twice.

(a) 3, 8, 7

Answer

The greatest number: 8873

And, the smallest number: 3378

(b) 9, 0, 5

Answer

The greatest number: 9950

And, the smallest number: 5009

(c) 0, 4, 9

Answer

The greatest number: 9940

And, the smallest number: 4009

(d) 8, 5, 1

Answer

The greatest number: 8851

And, the smallest number: 1158

Question (3) Make the greatest and the smallest 4-digit numbers using any four different digits with conditions as given

(a) Digit 7 is always at ones place

The greatest number: 9867

The smallest number: 1027

(This question has already been solved and given as example)

(b) Digit 4 is always at tens place

Answer

The greatest number: 9846

The smallest number: 1243

(c) Digit 9 is always at hundreds place

Answer

The greatest number: 8976

The smallest number: 1923

(d) Digit 1 is always at thousands place

Answer

The greatest number: 1987

The smallest number: 1234

Question (4) Take two digits, say 2 and 3. Make 4-digit numbers using both digits equal number of times.

Which is the greatest number?

Answer: The greatest number is 3322

Which is the smallest number?

Answer: The smallest number is 2233

How many different numbers can you make in all?

Answer: Total six

2233, 2323, 2332, 3322, 3232, 3223

Stand in proper order

The height of Ramhari = 160 cm, Dolly = 154 cm, Mohan = 158 cm and Shashi = 159

Question (1) Who is the tallest?

Answer

Ramhari is the tallest.

Question (2) Who is the shortest?

Dolly is the shortest.

(a) Can you arrange them in the increasing order of their height?

Answer

The increasing order of the height of given persons is

Dolly (154 cm) < Mohan (158 cm) < Shashi (159 cm) < Ramhari (160 cm)

(b) Can you arrange them in the decreasing order of their heights?

Answer

The decreasing order of the height of given persons is

Ramhari (160 cm) > Shashi (159 cm) > Mohan (158 cm) > Dolly (154 cm)

Which to buy?

Sohan and Rita went to buy and almirah. There were many almirah available with their price tags.

Price of Almirah: ₹ 2635, ₹ 1897, ₹ 2854, ₹ 1788, ₹ 3975

Solution

If Sohan and Rita want to buy the cheapest, then they will buy almirah with price ₹ 1788 Answer

(a) Can you arrange their prices in increasing order?

Answer

The increasing order of the price of almirah is

₹ 1788 < ₹ 1897 < ₹ 2635 < ₹ 2854 < ₹ 3975

(b) Can you arrange their prices in decreasing order?

Answer

The decreasing order of the price of almirah is

₹ 3975 > ₹ 2854 > ₹ 2635 > ₹ 1897 > ₹ 1788

Try These (2) Solution

Question (1) Arrange the following numbers in ascending order:

(a) 847, 9754, 8320, 571

Answer

The ascending order of the given numbers is

571 < 847 < 8320 < 9754

(b) 9801, 25751, 36501, 38802

Answer

The ascending order of the given numbers is

9801 < 25751 < 36501 < 38802

Question (2) Arrange the following numbers in descending order:

(a) 5000, 7500, 85400, 7861

Answer

The descending order of the given numbers is

85400 > 7861 > 7500 > 5000

(b) 1971, 45321, 88715, 92547

Answer

The descending order of the given numbers is

92547 > 88715 > 45321 > 1971