Three Digit Numbers

Three digit numbers are from 100 to 999. We know that there are nine one-digit numbers, i.e., 1, 2, 3, 4, 5, 6, 7, 8 and 9. There are 90 two digit numbers i.e., from 10 to 99. One digit numbers are made by the digits 1, 2, 3, 4, 5, 6, 7, 8 and 9. In making two digit numbers, zero (0) is also utilized along with digits 1 to 9. In two digit numbers one digit represents number of ones and the other represent the number of tens.

The digit representing ones is placed at one’s place while the digit representing ten’s is placed at ten’s place. As in 52, 5 is at ten’s place having its value 5 × 10 = 50 and 2 is at one’s place having it’s value 2 × 1 = 2.

Similarly, in 35, 5 is at one’s place having it’s value 5 × 1 = 5 and 3 is at ten’s place having its value 3 × 10 = 30 i.e., 35 = 30 + 5.

In the first ten two digits numbers the digits 0, 1, 2, …. are placed after 1 i.e., 10, 11, 12, 13, 14, 15, 16, 17, 18 and 19. Then comes 2 at ten’s place. All the digits are placed after 2 i.e., 21, 22, 23, 24, 25, 26, 27, 28 and 29. 


The following table shows the formation of two digits numbers:

Sophia has 99 beads. She uses 10 beads to make 1 garland. She has made 9 garlands and now she is left with 9 beads.


99 = 9 tens and 9 ones

She gets 1 more beads from her mother. She is now able to make another garland of 10 beads. 

The total number of beads now 100.


99 and 1 more make 100

Ninety-nine and one more make one hundred.


THREE-DIGIT NUMBERS

In class 1, we have read about 1-digit and 2-digit numbers. We know how to read and write these numbers. We also know that:

The smallest 1-digit number is 1.

The largest 1-digit number is 9.

The smallest 2-digit number is 10.

The largest 2-digit number is 99.

Let us add 1 to 99.

     99 + 1 = 90 + 9 + 1

                = 9 tens + 9 ones + 1 one

                = 9 tens + 10 ones

                = 9 tens + 1 ten      [since,  10 ones = 1 ten]

                = 10 tens


We call 10 tens as one hundred and write it as 100.

100 is smallest 3-digit number.


In a 3-digit number:

The first place from the right is one's place.

The second place from the right is ten's place.

The third place from the right is hundred's place.

Thus, we have the chart as shown below:

Hundred's Place Chart

What comes after 99?

The number is 100. It is written in words as one hundred. It is a 3-digit number.

We can say that ninety-nine and one more = One hundred.

Using tens, we say that 10 tens = 1 hundred.

So, after 99, the counting number is 100. This is a three digit number. When one is added to 99, the sum is 100.


The smallest 3-digit number and 1 more is 100 + 1 = 101 

101 and 1 more is 101 + 1 = 102

102 and 1 more is 102 + 1 = 103


In this way, we write up to 999 which is largest 3-digit number. 


In 100, there are 10 tens or 100 ones, i.e., (100 = 10 × 10 = 100 × 1). With the help of ones we get tens and with the help of ones and tens we make the numbers of two digits, i.e., from 10 to 99.

We know that

  One ten = ten (10)

  Two tens = twenty (20)

  Three tens = thirty (30)

  Four tens = forty (40)

  Five tens = fifty (50)

  Six tens = sixty (60)

  Seven tens = seventy (70)

  Eight tens = eighty (80)

  Nine tens = ninety (90)

  Ten tens = one hundred (100)

Similarly, 

  1 × hundred = hundred (100)

  2 × hundred = two hundred (200)

  3 × hundred = three hundred (300)

  4 × hundred = four hundred (400)

  5 × hundred = five hundred (500)

  6 × hundred = six hundred (600)

  7 × hundred = seven hundred (700)

  8 × hundred = eight hundred (800)

  9 × hundred = nine hundred (900)

10 × hundred = ten hundred (1000)

We see that the three digit numbers like 100, 200, 300, 400, 500, 600, 700, 800 and 900 are represented by the numerals having a digit and two zeros. This numbers are the multiples of two numbers i.e., 100 × 1, 110 × 2, 100 × 3, …….., etc.

But the three digit numbers are formed by placing the one and two digit numbers, i.e., from 1 to 99 after the fundamental digits 1, 2, 3, ….., 9 respectively as 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, ……., 117, 118, 119, ………, 125, 126, 127, …….., 134, 135, 136, ……….., 299, 300, 301, ….…., 400, ….…, 427, ………….etc.

In three digit numbers the digits are placed at one’s, ten’s and hundred’s place. At the extreme right of the number there is one’s place, then to the left of it there is ten’s place and to the left of it there is hundred’s place. The digits have their place value in a given number.

For example, in 235 the place value of 5 is 5, of 3 is 30 and 2 is 200. We write this in words as two hundred thirty five.

Let us form the number 100 with the help of blocks. If we say one small block is 1 then a strip made of 10 small blocks will represent 10. A sheet made of 10 strips will show 100.

One Block

One block

10 Blocks

10 blocks is 1 ten

10 Strips of 10 Blocks

10 strips of 10 blocks each is 100

10 tens

or

1 hundred


Numbers from 101 to 110

101

H

1

T

0

O

1


101



One hundred one

102

H

1

T

0

O

2


102


One hundred two

103

H

1

T

0

O

3


103


One hundred three

104

H

1

T

0

O

4


104


One hundred four

105

H

1

T

0

O

5


105


One hundred five

106

H

1

T

0

O

6


106


One hundred six

107

H

1

T

0

O

7


107


One hundred seven

108

H

1

T

0

O

8


108


One hundred eight

109

H

1

T

0

O

9


109


One hundred nine

110

H

1

T

1

O

0


110


One hundred ten


Numbers from 110 to 200

110



110




One hundred ten

120



120




One hundred twenty

130



130




One hundred thirty

140



140




One hundred forty

150



150




One hundred fifty

160



160




One hundred sixty

170



170




One hundred seventy

180



180




One hundred eighty

190



190




One hundred ninety

200



200




Two hundred


Count and write the number and number name.

117




117




One hundred seventeen

128




128




One hundred twenty-eight

135




135




One hundred thirty-five

144




144




One hundred forty-four

156




156




One hundred fifty-six

167




167




One hundred sixty-seven

172




172




One hundred seventy-two

181




181




One hundred eighty-one

194


194



One hundred ninety-four

199




199




One hundred ninety-nine


Skip Counting in Hundreds

It is easier to count larger numbers by making groups of hundreds. 





100





One hundred

200




200





Two hundred

300




300




Three hundred

400




400





Four hundred

500




500





Five hundred

600



600




Six hundred

700




700





Seven hundred

800




800





Eight hundred

900




900





Nine hundred


Count and write the number and number names.

910





910





Nine hundred ten

920





920





Nine hundred twenty

930





930





Nine hundred thirty

940





940





Nine hundred forty

950





950





Nine hundred fifty

960




960




Nine hundred sixty

970





970





Nine hundred seventy

980





980





Nine hundred eighty

990





990





Nine hundred ninety

999



999



Nine hundred ninety-nine


Some numbers between 101 and 999 are given below:

Number Name

One hundred one

One hundred two

One hundred three

One hundred four

One hundred five


One hundred ten

One hundred eleven


One hundred nineteen

One hundred twenty

One hundred twenty-one


One hundred thirty

One hundred thirty-one


One hundred forty

One hundred forty-one


One hundred fifty

One hundred fifty-one


One hundred sixty

One hundred sixty-one


One hundred seventy

One hundred seventy-one


One hundred eighty

One hundred eighty-one


One hundred ninety

One hundred ninety-one


One hundred ninety-nine

Two hundred

Two hundred one

Two hundred two


Two hundred ninety-nine

Three hundred

Three hundred one


Three hundred ninety-nine

Four hundred

Four hundred-one


Four hundred fifty

Four hundred fifty-one


Four hundred ninety-nine

Five hundred

Five hundred one


Five hundred ninety-nine

Six hundred


Six hundred ninety-nine

Seven hundred

Seven hundred one


Seven hundred ninety-nine

Eight hundred


Eight hundred ninety-nine

Nine hundred


Nine hundred ninety-nine

        Numeral

101

102

103

104

105 and so on


110

111 and so on


119

120

121 and so on


130

131 and so on


140

141 and so on


150

151 and so on


160

161 and so on


170

171 and so on


180

181 and so on


190

191 and so on


199

200

201

202 and so on


299

300

301 and so on


399

400

401 and so on


450

451 and so on


499

500

501 and so on


599

600 and so on


699

700

701 and so on


799

800 and so on



899

900 and so on


999


To read a 3-digit number, we first read the hundred's place followed by the number formed by the last two digits.


Note: The number name denotes how we read a numeral.

Remember: 3-digit numbers start with 100 and end at 999. There are 900, 3-digit numbers in all.

The three digits numbers may easily be explained with the help of mathematical apparatus called ABACUS.


What is spike abacus?

Spike abacus has many iron spikes on a wooden base. The spikes may have globules having wholes. The spikes are named as ones, tens, hundreds, thousands etc. respectively from extreme right to the left.

The number of globules in the concerned spikes expresses the place value of the digit of the number.

abacus for kids,abacus

In the given picture of the abacus, there are three spikes. In the first spike expressing ones, there are 2 globules, next to it there are 3 globules and in the third spike from the ones’ spike there are 4 globules.


2 globules of the one’s mark, spike express 2 × 1 = 2, 3 globules of the tens spike express 3 × 10 = 30 while 4 globule of the third spike i.e., hundreds spike express 4 × 100 = 400. Thus, the globules placed at different places represent the number 400 + 30 + 2 = 432.

Thus, with the help of ‘abacus’ we can understand the concept of three digit numbers.

Review:

● A number has one or more than one digit.

● To write the numbers we use digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

● A number which has single digit like 1, 2, 3, ............. 9 are called one digit numbers.

● A number which has double digits like 22, 53, 67, ............... 99 are called two digits number.

● A number which has triple digits like 100, 235, 367, ............... 999 are called three digits number.

● To read a two-digits number, first read the tens place and then read the ones place.

2-Digit Numbers


● To read a three digits number, first read the hundreds place, then read the last two digits as shown below.

3 Digit Numbers


Questions on 3-Digit Numbers:

I. Write the numbers from 101 to 200.

Numbers from 101 to 200


II. Write the numbers from 201 to 300.

Numbers from 201 to 300


III. Write the numbers from 301 to 400.

Numbers from 301 to 400


IV. Write the numbers from 401 to 500.

Numbers from 401 to 500


V. Write the numbers from 501 to 600.

Numbers from 501 to 600


VI. Write 321 to 350:

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___


VII. Write 581 to 610:

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___


VIII. Fill in the blanks:

378

379

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

___

397

___

___

400

___

___

___

___

___

___

___


IX. Write the short forms. One has been done for you.

H

T

O

600

+

20

+

3

     =      623

300

+

0

+

8

     =      _____

400

+

30

+

0

     =      _____

800

+

50

+

9

     =      _____

700

+

80

+

7

     =      _____

70

+

9

     =      _____

500

+

90

+

5

     =      _____


X. Write in the expanded forms. One has been done for you.

H

T

O

         420     =

400

+

20

+

0

         576     =

____

+

____

+

____

        684     =

____

+

____

+

____

         769     =

____

+

____

+

____

         845     =

____

+

____

+

____

         367     =

____

+

____

+

____

         296     =

____

+

____

+

____


XI. Fill in the blanks:

(i) 648 = ............ hundreds + ............ tens + ............ ones

(ii) 735 = ............ hundreds + ............ tens + ............ ones

(iii) 290 = ............ hundreds + ............ tens + ............ ones

(iv) 579 = ............ hundreds + ............ tens + ............ ones


XII. Write the number names:

(i) 326 -

(ii) 578 -

(iii) 729 -

(iv) 107 -

(v) 450 -

(vi) 672 -

(vii) 762 -

(viii) 985

(ix) 855 -

(x) 736 -

(xi) 244 -

(xii) 790 -

(xiii) 189 -


XIII. Write the numbers:

(i) Six hundred ninety two

(ii) Two hundred thirty eight

(iii) Seven hundred twenty one

(iv) one hundred forty

(v) Five hundred twelve

(vi) Four hundred six

(vii) Eight hundred thirty two

(viii) Five hundred eighty nine

(ix) Nine hundred forty seven

(x) Nine hundred ninety nine

(xi) Three hundred ninety eight

(xii) Two hundred fifty three


XIV. Write the expanded form. One has been done for you.

(i) 358 = Three hundreds and five tens and eight ones

(ii) 156 = ___________________________________

(iii) 653 = ___________________________________

(iv) 241 = ___________________________________

(v) 586 = ___________________________________


XV. Write in words. One has been done for you.

(i) 135 = One hundred and thirty-five

(ii) 980 = ___________________________________ 

(iii) 760 = ___________________________________

(iv) 332 = ___________________________________

(v) 973 = ___________________________________


XVI. Write the numbers in the blanks. One has been done for you.

(i) Nine hundred and ninety-nine.

(ii) Nine hundred.

(iii) One hundred and seventy-three.

(iv) Eight hundred.

999

_____

_____

_____


XVII: Fill in the missing numbers.

Fill in the Missing 3-Digit Numbers.


XVIII. Fill in the boxes with numbers before, after or between.

Before

Between

After

(i)

..............

280

..............

(ii)

193

..............

..............

(iii)

..............

..............

181

(iv)

..............

700

..............

(v)

..............

349

..............

(vi)

899

..............

901






2nd Grade Math Practice

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