THREE DIGIT NUMBERS -
STUDY OF NUMBERS 100 TO 999;
PLACE VALUE RULE

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Learn/Teach
Three Digit Numbers
through Fun Math Games.

For details, see near
the bottom of this page.

Please study
Two Digit Numbers

That knowledge is a prerequisite here.

What is the successor to 99 ?
You know it is 99 + 1.
What is its value ?

Recall, the answer to
what is the successor to 9 ?
or what is 9 + 1 ?

The answer you know is a
two digit number denoted
by 10 and called ten.

Similarly, with the place
value rule, you know the
answer to 99 + 1 is 100.
100 is called Hundred.

The value of the place third
from right is ten times ten
and is called hundred.

So 100 stands for zero ones
plus zero tens plus one hundred
which is hundred.

The successor to 100 is 101,
called one hundred one.

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Similarly, the subsequent numbers
are 102, 103, 104, .......199,
called one hundred two, one hundred
three, one hundred four,.........
one hundred ninety nine.

What is the successor to 199 ?
We know adding 1 to 199 will
increase the digit value of
hundreds place.

So the answer is 200, called
two hundred.

Now , you know the subsequent
numbers as 201 to 299
called two hundred one to
two hundred ninety nine.

Similarly, 300 to 999 called
three hundred to nine hundred
ninety nine can be understood.





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Example
of Three digit Number

place value chart for
three digit numbers :

Hundreds' place Tens' place Units' place
581

In the above example,
the value of 581
= 5 hundreds + 8 tens + 1 ones
= 500 + 80 + 1 = 581

It is written as
five hundred eighty one.

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Exercise :
upto three digit Numbers

  1. Write the numbers
    197, 29, 126, 428, 541, 899,
    391, 239, 627, 89, 54, 213
    in the ascending order.
    Which is the smallest number
    and which is the largest number
    among those given above ?

  2. How many three digit numbers can
    be made with the numerals 7, 5, 9 ?
    Write the numbers in figures and words
    and arrange them in descending order.

  3. Write six smallest three digit numbers
    containing the numerals 2, 0, 7, 8.
    Write them in the ascending order
    and in the descending order.
    Which number is the largest ?
    and which number is the smallest ?

  4. In the following presentation of numbers,
    the numbers are written correctly in words.
    In figures, there is a possibilty of mistakes.
    Correct the mistakes if any, in figures.
    1. fourteen = 104
    2. Thirty seven = 307
    3. two hundred five = 2005
    4. seven hundred seventy two = 700702

  5. The expanded form of 478
    = 4 hundreds + 7 tens + 8 ones
    = 400 + 70 + 8.
    In a similar fashion, write the
    expanded form of
    1. 234
    2. 781
    3. 194
    4. 973
    5. 803

For answers see at the
bottom of the page.

For study of numbers 1000
and above, you may go to
Four Digit Numbers.

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Answers to Exercise :
upto three digit Numbers

  1. 29, 54, 89, 126, 197, 213,
    239, 391, 428, 541, 627, 899
    smallest number = 29 and
    the largest number = 899

  2. six three digit numbers can be
    made with the numerals 7, 5, 9.
    They are 579 (Five Hundred Seventy Nine),
    597 (Five Hundred Ninety Seven),
    759 (Seven Hundred Fifty Nine),
    795 (Seven Hundred Ninety Five),
    957 (Nine Hundred Fifty Seven),
    975 ( Nine Hundred Seventy Five),
    The numbers in descending order are
    975, 957, 795, 759, 597, 579.

  3. six smallest three digit numbers
    containing the numerals 2, 0, 7, 8
    are 207, 208, 270, 278, 280, 287.
    The above order is ascending order.
    The descending order is
    287, 280, 278, 270, 208, 207.
    287 is the largest. 207 is the smallest .

    1. fourteen = 14
    2. Thirty seven = 37
    3. two hundred five = 205
    4. seven hundred seventy two = 772

    1. The expanded form of 234
      = 2 hundreds + 3 tens + 4 ones
      = 200 + 30 + 4
    2. The expanded form of 781
      = 7 hundreds + 8 tens + 1 one
      = 700 + 80 + 1
    3. The expanded form of 194
      = 1 hundred + 9 tens + 4 ones
      = 100 + 90 + 4
    4. The expanded form of 973
      = 9 hundreds + 7 tens + 3 ones
      = 900 + 70 + 3
    5. The expanded form of 803
      = 8 hundreds + 0 tens + 3 ones
      = 800 + 0 + 3