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:

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:

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

10 blocks is 1 ten

10 strips of 10 blocks each is 100 10 tens or 1 hundred

Numbers from 101 to 110

H 1

T 0

O 1

101

One hundred one

H 1

T 0

O 2

102

One hundred two

H 1

T 0

O 3

103

One hundred three

H 1

T 0

O 4

104

One hundred four

H 1

T 0

O 5

105

One hundred five

H 1

T 0

O 6

106

One hundred six

H 1

T 0

O 7

107

One hundred seven

H 1

T 0

O 8

108

One hundred eight

H 1

T 0

O 9

109

One hundred nine

H 1

T 1

O 0

110

One hundred ten

Numbers from 110 to 200

	110	One hundred ten
	120	One hundred twenty
	130	One hundred thirty
	140	One hundred forty
	150	One hundred fifty
	160	One hundred sixty
	170	One hundred seventy
	180	One hundred eighty
	190	One hundred ninety
	200	Two hundred

Count and write the number and number name.

	117	One hundred seventeen
	128	One hundred twenty-eight
	135	One hundred thirty-five
	144	One hundred forty-four
	156	One hundred fifty-six
	167	One hundred sixty-seven
	172	One hundred seventy-two
	181	One hundred eighty-one
	194	One hundred ninety-four
	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	Two hundred
	300	Three hundred
	400	Four hundred
	500	Five hundred
	600	Six hundred
	700	Seven hundred
	800	Eight hundred
	900	Nine hundred

Count and write the number and number names.

	910	Nine hundred ten
	920	Nine hundred twenty
	930	Nine hundred thirty
	940	Nine hundred forty
	950	Nine hundred fifty
	960	Nine hundred sixty
	970	Nine hundred seventy
	980	Nine hundred eighty
	990	Nine hundred ninety
	999	Nine hundred ninety-nine

Some numbers between 101 and 999 are given below:

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.

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.

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

Expanded and Short Form of 3-Digit Numbers:

Look at the given example:

Solved Examples on Expanded and Short Form of 3-Digit Numbers:

1. Write in Expanded Form:

(i) 792 = _____ + _____ + _____

(ii) 247 = _____ + _____ + _____

(iii) 618 = _____ + _____ + _____

(iv) 864 = _____ + _____ + _____

Solution:

1. (i) 792 = 700 + 90 + 2

(ii) 247 = 200 + 40 + 7

(iii) 618 = 600 + 10 + 8

(iv) 864 = 800 + 60 + 4

2. Write in short form:

(i) 300 + 80 + 9

(ii) 900 + 10 + 9

(iii) 100 + 20 + 0

(iv) 600 + 50 + 4

Solution:

2. (i)389

(ii) 919

(iii) 120

(iv) 654

Worksheet on 3-Digit Numbers:

I. Write the numbers from 101 to 200.

II. Write the numbers from 201 to 300.

III. Write the numbers from 301 to 400.

IV. Write the numbers from 401 to 500.

V. Write the numbers from 501 to 600.

VI. Write 321 to 350:

VII. Write 581 to 610:

VIII. Fill in the blanks:

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

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

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.

XVII: Fill in the missing numbers.

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

2nd Grade Math Practice

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