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:

$2 digit numbers table,two digit numbers$ 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.

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.

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

1 hundred

Numbers from 101 to 110

$101$

101

One hundred one

$102$

102

One hundred two

$103$

103

One hundred three

$104$

104

One hundred four

$105$

105

One hundred five

$106$

106

One hundred six

$107$

107

One hundred seven

$108$

108

One hundred eight

$109$

109

One hundred nine

$110$

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.

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

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___	___	___	___	___	___	___	___	___	397
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___	___	___	___	___	___	___	___	___	397
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