Knowing Our Numbers Worksheet With Answers Page 2
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7Learning mathematics–Vi
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Similarly, the place value of the digit 3 = 3 × 100 = 300,
the place value of the digit 0 = 0 × 10 = 0 and
the place value of the digit 2 = 2 × 1 = 2.
Thus, the place (or local) value of a (non-zero) digit in a number depends upon the place it
occupies in the given number; and the place value of the digit 0 is always 0 regardless of the
place it occupies in the given number.
Let us consider the number 5354.
The place value of the digit 5 at ten’s place = 5 × 10 = 50 and the place value of the digit 5 at
thousand’s place = 5 × 1000 = 5000 but the face (true or intrinsic) value of both the fives is 5.
Thus, the face (true or intrinsic) value of a digit in a number is the digit itself, regardless of the
place it occupies in the number.
remark
To find the place value of a digit in a number, multiply the digit by the value of the place
it occupies.
numerals and numeration
A number can be written in digits as well as in words.
A single digit or a group of digits representing a number is called a numeral. For example: 6, 28,
304 and 7659 are numerals.
Thus, a numeral is a symbolic representation of a number. Hereafter, we shall use the words
number and numeral in the same sense.
Writing a number in words is called numeration.
To read and write numbers, the systems of numeration in common use are:
(i) Indian system
(ii) International system.
indian system of numeration
In the Indian system:
100 × 1000 i.e. 100000 is called lakh,
100 × 100000 i.e. 10000000 is called crore and so on.
In the Indian place value chart:
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The places ones (or units), tens and hundreds together are called ones (or units) period.
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The places thousands and ten thousands together are called thousands period.
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The places lakhs and ten lakhs together are called lakhs period.
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The places crores and ten crores together are called crores period and so on.
The Indian place value chart is shown below:
Periods
...
Crores
Lakhs
Thousands
Ones
Places
TC
C
TL
L
TTh
Th
H
T
O
Numbers
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