NUMBERS IN EXPANDED FORM WORKSHEET

Problem 1 :

Write the expanded form of a number.

(a) 4376 = ___________

(b) 6845 = ___________

(c) 5004 = ___________

(d) 2186 = ___________

Solution :

(a) 4376 

4 is in thousand's place

3 is in hundred's place

7 is in ten's place

6 is in one's place

4376 = 4x1000 + 3x100 + 7x10 + 6x1

(b) 6845

6 is in thousand's place

8 is in hundred's place

4 is in ten's place

5 is in one's place

6845 = 6x1000 + 8x100 + 4x10 + 5x1

(c) 5004 = 5x1000 + 0x100 + 0x10 + 4x1

(d) 2186 =  2x1000 + 1x100 + 8x10 + 6x1

Problem 2 :

Write the number in short form 

a) 3000+500+40+6

b) 4000+600+80+3

Solution :

a) 3000+500+40+6 = 3546

b) 4000+600+80+3 = 4683

Problem 3 :

What number is represented by the digit 7 in the following?

a) 47  b) 372  c) 4709 

Solution :

a) 47

Expanded form :

47 = 4x10 + 7x1

7 is the number represented by the digit 7.

b) 372

Expanded form :

372 = 3x100 + 7x10 + 2x1

70 is the number represented by the digit 7.

c) 4709

Expanded form :

4709 = 4x100 + 7x100 + 0x10 + 9x1

700 is the number represented by the digit 7.

Problem 4 :

Write the missing values in the following.

a) 784 = _____ + 80 + ____

b) 9866 = ______ + 800 + ___ + ____

c) 4503 = 4000 + ______  + _____

d) 10492 = 10000 + _____ + 90 + 2

e) 59401 = _____+ _____ +  _____ + 1

Solution :

a) 784 = 700 + 80 + 4

b) 9866 = 9000 + 800 + 60 + 6

c) 4503 = 4000 + 500 + 3

d) 10492 = 10000 + 400 + 90 + 2

e) 59401 = 50000 + 9000 + 400 + 1

Problem 5 :

Use the digits 7, 1, and 9 once only to make the largest number you can.

Solution :

Using the given digits, we can create a three digit number.

Hundred's digit    Ten's digit   one's digit

Since we are trying to create the largest number, in hundred's place we have to fix the largest digits.

Writing the given digits in ascending order, we get

791

So, 791 is the largest number created by the given digits.

Problem 6 :

Write the largest number you can using the digits

3, 1, 0, 4, 5, and 7

once only.

Solution :

From left to right,

The first digit should not be filled with 0.

Since we create the largest number, write the given digits in the descending order.

754310