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.


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

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 tan

10 Strips of 10 Blocks

10 strips of 10 blocks each is 100


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


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.






2nd Grade Math Practice

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