Wisechamps Grade 3 Number Names and Number Sense (Session 6)

Number Names

and Number Sense

Grade 3

● Formation of Numbers
● Forming Numbers without Repetition of Digits
● Forming Numbers with Repetition of Digits

What is a number ?

Number is an arranged group of digits

Numbers may be formed with or without the

repetition of digits

Formation of

Numbers

The numbers formed using the digits 2, 3, and 4 are:

234, 243, 324, 342, 423, 432 (6 numbers each of 3 digits)

The numbers formed using the digits 0, 1, and 5 are:

105, 150, 501, 510 (only 4 numbers each of 3 digits)

Some numbers formed by 3 digits are:

Multiple Choice

The number given below is a 4-digit number in which a and b are missing digits. If a is one more than its thousands place and b is one less than its tens place, then find the 4-digit number 5a9b

• 5898

• 5696

• 5896

• 5698

Explanation

Given number is 5a9b

Thousands place digit is 5

a is one more than 5 = 6

Tens place digit is 9

b is one less than 9 = 8

So, the required 4-digit number is 5698

Greatest and

Smallest Number

The greatest and the smallest 4-digit number that can be
formed from the digits 5, 6, 3 and 2 without repetition are:

Greatest number : 6532
(digits are arranged in

descending order)

Smallest number : 2356
(digits are arranged in

ascending order)

Multiple Choice

What is the greatest 4-digit number that can be formed using the digits 3, 0, 8, 7 without repeating the digits?

• 7830

• 8873

• 7738

• 8730

Explanation

To get the greatest number out of the given digits, we arrange

them in descending order

Descending order of the given digits are 8, 7, 3, 0

So, the required 4-digit greatest number is 8730

Greatest number :

6666

(Here, 6 is repeated four

times)

Smallest number : 2222
(Here, 2 is repeated four

times)

The greatest and the smallest 4-digit number that can be

formed from the digits 5, 6, 3 and 2 with repetition are:

Multiple Choice

The smallest 4-digit number that can be formed by using the digits 4 and 0 with repeating both the digits twice is

• 4040

• 4004

• 4400

• 0404

Formation of the greatest and the smallest

numbers with repetition

Number of digits

Smallest number

Greatest number

One

1

9

Two

10 = 9 + 1

99

Three

100 = 99 + 1

999

Four

1000 = 999 + 1

9999

Mathematical

Reasoning

Multiple Choice

10 less than the greatest 4-digit number is?

• 8999

• 9989

• 9998

• 9909

Explanation

The greatest 4-digit number is 9999

10 less than that is – 10

Required number is 9989

Multiple Choice

Boman was given two sets of number-boxes with the digits 1, 3 and 5 as shown.

Make the greatest 4-digit number using all three digits

• 5553

• 5311

• 5331

• 5531

Explanation

Digits on the boxes are 1, 3, 5

The greatest 3-digit number formed using the given digits is

531

We have to write a 4 digit highest number, so we will repeat

the highest digit 5 twice at the highest place

So, the greatest number of 4-digit = 5531

Multiple Choice

Which place value will determine the larger number among the given two numbers?

• Ones

• Hundreds

• Tens

• Thousands

Explanation

Here, tens place digit determines the larger of two numbers
because both the numbers have same digits at hundreds and

thousands places.

Multiple Choice

Write the number 2 less than the smallest number formed by the digits 3, 1, 5 and 7 without repeating the digits

• 1335

• 1355

• 1357

• 1375

Explanation

To write the smallest number using the
digits 3, 1, 5 and 7, we write the digits in
ascending order : 1, 3, 5, 7

So, the smallest number is 1357

2 less than 1357 is 1355

Th H T O

1 3 5 7

(−) 2

1 3 5 5

Multiple Choice

Arun wrote a 4-digit number on blackboard as shown.

If it is formed by four different digits, then which of the following digits could be placed in the gap to make it the greatest number?

• 8

• 6

• 0

• 5

Explanation

Here, A:5838 ; B:5638 ; C:5038 ; D:5538

Out of the above numbers, 5838 and 5538 have the repeated digits

Now, 5038 < 5638

So, the greatest 4-digit number out of the given four options is 5638

And, the required digit is 6

Multiple Choice

If we start counting the digits from 0, which of the following could be the smallest 4-digit number with different digits?

• 1000

• 1223

• 1023

• 1230

Explanation

If we start counting the digits from 0, the first four digits are 0, 1, 2 and

3

Arranging them in ascending order to get smallest number, we get 0123,

but 123 is a 3-digit number

So, to get the smallest 4-digit number using the digits 0, 1, 2 and 3, we

interchange the position of first two digits

So, the smallest 4-digit number using 4 different digits 0, 1, 2 and 3 is

1023

Multiple Choice

How many 3-digit numbers can be formed by using the digits 3, 6, 9 without repeating the digits?

• 6

• 4

• 5

• 3

Explanation

Here, we start writing the numbers with the digits in ascending

order and then keeping the first digit same, interchange

the last two digits

So, the numbers are

369 and 396 | 639 and 693 | 936 and 963

So, the total 6 numbers are: 369, 396, 639, 693, 936, 963