# 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:

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.

Numbers from 101 to 110 H1 T0 O1 101 One hundred one H1 T0 O2 102 One hundred two H1 T0 O3 103 One hundred three H1 T0 O4 104 One hundred four H1 T0 O5 105 One hundred five H1 T0 O6 106 One hundred six H1 T0 O7 107 One hundred seven H1 T0 O8 108 One hundred eight H1 T0 O9 109 One hundred nine H1 T1 O0 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:

 Number Name One hundred oneOne hundred twoOne hundred threeOne hundred fourOne hundred fiveOne hundred tenOne hundred elevenOne hundred nineteenOne hundred twentyOne hundred twenty-oneOne hundred thirtyOne hundred thirty-oneOne hundred fortyOne hundred forty-oneOne hundred fiftyOne hundred fifty-oneOne hundred sixtyOne hundred sixty-one One hundred seventyOne hundred seventy-oneOne hundred eightyOne hundred eighty-oneOne hundred ninetyOne hundred ninety-oneOne hundred ninety-nineTwo hundredTwo hundred oneTwo hundred twoTwo hundred ninety-nineThree hundredThree hundred oneThree hundred ninety-nineFour hundredFour hundred-oneFour hundred fiftyFour hundred fifty-oneFour hundred ninety-nineFive hundredFive hundred oneFive hundred ninety-nineSix hundredSix hundred ninety-nineSeven hundredSeven hundred oneSeven hundred ninety-nineEight hundredEight hundred ninety-nineNine hundredNine hundred ninety-nine Numeral 101102103104105 and so on110111 and so on119120121 and so on130131 and so on140141 and so on150151 and so on160161 and so on170171 and so on180181 and so on190191 and so on199200201202 and so on299300301 and so on399400401 and so on450451 and so on499500501 and so on599600 and so on699700701 and so on799800 and so on899900 and so on999

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.

Questions 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:

 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.

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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