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

Problem 7 :

What is the sum of the place values of 8's in 853682 ?

a)  800800      b)  880000      c)  800080    d)  800008

Solution :

Expanded form of 853682

= 8 x 100000 + 5 x 10000 + 3 x 1000 + 6 x 100 + 8 x 10 + 2 x 1

Selecting the required value,

= 800000 + 80

= 800080

So, option c is correct.

Problem 8 :

What is the successor of the largest number formed using the digits 0, 1, 2, 3, 4, 5, 7 ?

a)  7452311     b)  7654321      c)  7543211     d)  7435211

Solution :

First let us create the largest number using the digits

0, 1, 2, 3, 4, 5, 7

By arranging the numbers in descending order, we get

7543210

Successor of 7543210 is 7543211

So, option c is correct.

Problem 9 :

Which of the following is the greatest 7 digits number ?

a)  1000000     b)  9999999      c)  7777777     d)  8888888

Solution :

In the numbers 0, 1, 2, 3, ..........9

The largest number is 9. Then by arranging 9 in the 7 digits, we willl get the greatest 7 digit number. So, the required number is 9999999. Option b is correct.

Problem 10 :

Which of the following is the greatest 5 digit even number formed using the 6 in the hundreds place and 8 in the thousands place ?

a)  98698     b)  97698      c)  89698     d)  988699

Solution :

The greatest 5 digit number 99999

• It should be an even number, then we have to fill the one's place using any of the digits 0, 2, 4, 6, 8.
• 6 should be at the hundreds place
• 8 should be at the thousands place.

Then the required number will be, 98698. Option a is correct.

Problem 11 :

Melanie recorded a numbe with two seven. The value of first 7 is 7000. The value of second seven is 700. Waht could be Melanie's number ?

a)  7708     b)  2767      c)  7427     d)  5672

Solution :

Option a :

7708 = 7000 + 700 + 0 + 8

Here the place value of 7 is 7000 and place value of another 7 is 700. Then option a is correct.

Problem 12 :

Sara's user ID is 5 digit number. The 9 is in the ten thousand's place, 0 is one's place, 8 is in thousand's place, 4 is in ten's place and 2 is in hundred's place. What is  Sara's user ID number ?

a)  90842     b)  98240      c)  89204     d)  98420

Solution :

The required number is 5 digit number.

Option a :

90842 = 90000 + 0 + 800 + 40 + 2

• 9 is in ten thousands place 
• o is in thousands place
• 8 is in hundreds place
• 4 is in ten's place
• 2 is in one's place.

Option b :

98240 = 90000 + 8000 + 200 + 40 + 0

• 9 is in ten thousands place 
• 8 is in thousands place
• 2 is in hundreds place
• 4 is in ten's place
• 0 is in one's place.

So, option b is correct.