Grade 3 Number Sense Session 1

● Number and Number Name of 4-digit Numbers
● Abacus, Place Value and Face Value
● Expanded Form and Short Form

Have you ever thought !

How would it be

if we did not have the numbers at all?

Number and Number Names

What come after 999?

The smallest 4-digit number is

What come after 999?

The greatest 4-digit number is

1000

1000

1000

9999

How to Write Four Digit-numbers in

Numerals and Words?

Number of digits in a 4-digit number is four

According to their values, the digits are placed from
right to left at one’s place, ten’s place, hundreds place

and thousand’s place

Example: 5726

Here, 5726 = 5000 + 700 + 20 + 6

It is read as ‘Five thousand seven hundred twenty six’

Question

Which of the following number names belongs

to horse’s number?

Seven hundred
eighty two

Three hundred fifty
seven

Eight hundred
seventy two

None of the these

A.

B.

C.

D.

357

Answer

Option B

Three hundred fifty seven

Abacus, Place Value and

Face Value

H

T

O

7

4

9

9 is at ones place

Place
Value

Face
Value

9

9

Question

Which number is shown in the abacus?

4126

4026

426

4206

A.

B.

C.

D.

Answer

Option B

4026

Explanation

4 Beads in thousands spike = 4000

0 Beads in hundreds spike = 0

2 Beads in tens spike = 20

6 Beads in ones spike = 6

Number = 4026

Number 4528 can be written in place value chart as follows

We place the numbers in place value chart

to know the values of different digits

TH

H

T

O

4

5

2

8

Thousands

Hundreds

Tens

Ones

Place Value and Face Value

Face value

3 0 4 6

6 × 1 = 6

4 × 10 = 40

0 × 100 = 0

3 × 1000 = 3000

Place value

Consider a 4-digit number 3046

Multiple Choice

What is the place value of 5 in 7586?

• 500

• 5000

• 100

• 5

Answer

Option A

500

Explanation

Th H T O

7 5 8 6

5 is at hundreds place

So, place value of 5 is (5 × 100) = 500

EXPANDED FORM

AND

SHORT FORM

4-digit number

Expanded form and Short Form

Consider a number 5092

5

0

9

2

Th

H

T

O

2 × 1

=2

Place value

9 × 10

0 × 100

5 × 1000

=

=

=

90

0

5000

5092 = 5000 + 0 + 90 + 2
Short Form

Expanded Form

Fill in the Blank

Write the expanded form of 3484

Answer

Option C

3000 + 400 + 80 + 4

Mind Map

Write number in
Place value chart

Place value

Face value

(Digit × Place value)

(Digit itself)

Expanded form

Sum of place values of all digits

Mathematical

Reasoning

Poll

What is the difference in place values of both 7's in 7724

• 7000

• 6300

• 63000

• 6999

Answer 1

Option B

6300

Explanation

Writing 7724 in place value chart

Th H T O

7 7 2 4

Place value of first 7 →

7000

Place value of second 7 →

– 700

Difference 6300

Question 2

Find the difference between the place value of 7 in 1785

and the face value of 4 in 5247

33

100

669

696

A.

B.

C.

D.

Answer 2

Option D

696

Explanation

Place value of 7 in 1785 is 7 × 100 = 700

Face value of 4 in 5247 is 4

Difference = 700 – 4 = 696

Question 3

8746 is same as

800 + 700 + 40 + 6

8000 + 70 + 400 + 6

8000 + 700 + 40 + 6

800 + 700 + 400 + 6

A.

B.

C.

D.

Answer 3

Option C

8000 + 700 + 40 + 6

Explanation

8746 = 8 × 1000 + 7 × 100 + 4 × 10 + 6 × 1

= 8000 + 700 + 40 + 6

Question 4

John's house number has 5 at thousands place.

Which can be his house number?

560

5684

3450

1562

A.

B.

C.

D.

Answer 4

Option B

5684

Explanation

Number given in option (B) has 5

at its thousands place

So, only 5684 can be the John’s

house number

Question 5

Which of the following pairs is correctly matched?

A.

Three hundred eighty

One thousand fifty two

Four thousand five
Eight thousand three
hundred seventy

P. 308

Q. 1552

R. 4005

S. 8307

B.

C.

D.

Answer 5

Option C

Four thousand five → 4005

Explanation

Here, correct matchings are as follow:

Three hundred eighty

One thousand fifty two

Four thousand five
Eight thousand three
hundred seventy

380

1052

4005

8370

Question 6

Four thousand six hundred forty three in numbers is

6434

4643

4436

4043

A.

B.

C.

D.

Answer 6

Option B

4643

Explanation

Th H T O
4 6 4 3

4 is at thousands place

So, there are 4 thousands in 4643

Achievers Section

(Hots)

Question 7

In the smallest 4-digit number formed by the digits

5, 7, 0 and 2, which one of the following digits will be at

its hundreds place?

7

5

0

2

A.

B.

C.

D.

Answer 7

Option C

0

Explanation

The smallest 4-digit number

formed by the digits
5, 7, 0 and 2 is 2057

So, its hundreds place digit is 0

Question 8

If is the smallest number among all the numbers written on

the blackboard, then the difference between the smallest

number and the greatest number cannot be

58

49

56

53

A.

B.

C.

D.

A

15

25

12

29

A

40

37

53

13

58

30

63

Answer 8

Option B

49

Explanation

Here, the greatest number and the smallest number

among all the given numbers are, respectively 63 and 12

Now, the possible smallest value for A will be 11 or 10 or 9

or… so on

So, differences will be 63 – 11 = 52 or, 63 – 10 = 53 or,

63 – 9 = 54, or so on

Thus, the possible smallest difference is 52
Also, the difference cannot be less than 52

Question 9

How many 3-digit odd numbers can be formed by using the
digits 8, 5 and 2 without repeating the digits in the number?

One

Two

Three

Six

A.

B.

C.

D.

Answer 9

Option B

Two

Explanation

We can form six different numbers using the
digits 8, 5 and 2 without repeating the digits

which are 852, 825, 582, 528, 285 and 258

Here, odd numbers are 825 and 285

Question 10

In which one of the following numbers, when the digits of its
ones place and hundreds place are interchanged, the new

number so obtained is larger than the original number?

562

896

321

297

A.

B.

C.

D.

Answer 10

Option D

297

Explanation

When the digits of ones place and hundreds place

of the numbers 562, 896, 321 and 297 are

interchanged, the new numbers so obtained are,

respectively 265, 698, 123 and 792

Here, 792 is larger than 297

Question 11

How many odd numbers are there between 72 and 150?

39

37

25

30

A.

B.

C.

D.

Answer 11

Option A

39

Explanation

From 72 to 80, odd numbers are 73, 75, 77, 79 ; Total 4 odd

numbers

Between every 10 numbers, there are 5 odd numbers

Between 80 to 90, there are 5 odd numbers

Between 90 to 100 ,there are 5 odd numbers

Between 100 to 150, there are 5 ✕ 5 = 25 odd numbers

Required number of odd numbers = 4 + 5 + 5 + 25 = 39