WORKSHEET ON EXPANDED FORM OF A NUMBER

Problem 1 :

Write the following in expanded form :

1) 819 =

2) 609 =

3) 3658 =

4) 5890 =

Solution :

1) 819 = 800 + 10 + 9

2) 609 = 600 + 9

3) 3658 = 300 + 600 + 50 + 8

4) 5890 = 5000 + 800 + 90

Problem 2 :

Group the numbers in ones , tens , hundreds and thousands .

1) 1,352

___thousand, ___ hundreds, ___tens, ___ones

2) 8,905

___thousands, ____hundreds, ____ tens, ____ones

3) 6,053

____thousands, ___hundreds, ____ tens, ____ones

4) 7,131

___thousands, ___hundreds, ___tens, ___ones

Solution :

1) In 1,352

2) In 8,905

3) In 6,053

4) 7,131

Problem 3 :

Write the place value of each digit.

Solution :

Problem 4 :

Make the greatest and smallest 4 digit numbers by using one digit twice.

a) 3, 8, 7

b) 9, 0, 7

Solution :

a) 3, 8, 7

Largest Number :

To create largest 4 digit number, let us write the digits in the descending order.

8, 7, 3

From left to right, the first two places should be occupied by 8

8 8 3 7 (Incorrect)

8 8 7 3 (Correct)

Smallest number :

To create smallest 4 digit number, let us write the digits in the ascending order.

3, 7, 8

From left to right, the first two places should be occupied by 3

3 3 8 7 (Incorrect)

3 3 7 8 (Correct)

b) 9, 0, 7

Largest Number :

To create largest 4 digit number, let us write the digits in the descending order.

9, 7, 0

From left to right, the first two places should be occupied by 9

9 9 0 7 (Incorrect)

9 9 7 0 (Correct)

Smallest number :

To create smallest 4 digit number, let us write the digits in the ascending order.

0, 7, 9

We cannot start a numeral with 0.

From left to right, the first two places should be occupied by 7

7  7 9 0 (Incorrect)

7 7 0 9 (Correct)

Problem 5 :

Which of the following is equal to

2x9 + 20x9

a) 292  b) 198 c) 290 d) 272  e) 227

Solution :

2x9 = 18

20x9 = 180

= 18 + 180

= 198

Problem 6 :

Write the following in short form :

1) 4 hundreds + 1 ten + 7 ones =

2) 3000 + 500 + 40 + 3 =

3) 9000 + 30 =

4) 8000 + 300 + 50 =

Solution :

1) 4 hundreds + 1 ten + 7 ones = 417

2) 3000 + 500 + 40 + 3 = 3543

3) 9000 + 30 = 9030

4) 8000 + 300 + 50 = 8350

Problem 7 :

Form a number with :

6 in thousands place , 0 in ones place , 5 in hundreds place and 7 in tens place.

Solution :

Problem 8 :

My school has a population of 183 students. What is the value of 8 in the number ?

Solution :

Total population = 183

Writing 183 in expanded form, we get

183 = 100 + 80 + 3

So, the value of 8 in the number 183 is 80.

Problem 9 :

Fill in the blanks using > , < or =

Solution :

Problem 10 :

Write the number in numeral.

Solution :

So, the answer is 3637.