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# Place Worth and Face Worth | Primary Idea on Place Worth

Let
us have a look at the digits 1 and a pair of.

 The digit 1 represents one object The digit 2 represents two objects

We all know that digit 2 is bigger than the digit 1 or 2 >
1.

With the digits 1 and a pair of we will make the numbers 12 and 21.

Face worth is the worth of a digit in a quantity.

So, the digit 1 has the identical face worth in each the numbers `12 and 21.

Â Equally, the digit 2 has the identical face worth within the numbers 12
and 21.

Subsequently, the face worth of a digit all the time stays the identical.Â

We write 12 and 21 through the use of ones and tens as:

Within the quantity 12, the worth of two (i.e., 2 ones) is lower than
the worth of 1 (i.e., 1 ten)

Within the quantity 21, the worth of two (i.e., 2 tens) is bigger
than the worth of 1 (i.e., 1 one)

In each the numbers 12 and 21 there worth is completely different this
is due to its place worth.

Place worth of a digit is the worth of a digit due to
its place in a quantity.

Equally, the digit 3 and seven can be utilized to make the quantity 37 and 73.

Allow us to have a look at the instance to grasp the distinction of face worth and place worth.

Face worth and place worth of the digits are colored in pink.

 Quantity 18 18 36 36 71 71 52 52 43 43 68 68 81 81 Face worthÂ  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â Place worth Â Â Â Â Â Â Â  1 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 1 ten or 10 Â Â Â Â Â Â Â  8 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 8 ones or 8 Â Â Â Â Â Â Â  3 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 3 tens or 30 Â Â Â Â Â Â Â  6 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 6 ones or 6 Â Â Â Â Â Â Â  7 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 7 tens or 70 Â Â Â Â Â Â Â  1 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 1 one or 1 Â Â Â Â Â Â Â  5 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 5 tens or 50 Â Â Â Â Â Â Â  2 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 2 ones or 2 Â Â Â Â Â Â Â  4 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 4 tens or 40 Â Â Â Â Â Â Â  3 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 3 ones or 3 Â Â Â Â Â Â Â  6 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 6 tens or 60 Â Â Â Â Â Â Â  8 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 8 ones or 8 Â Â Â Â Â Â Â  8 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 8 tens or 80 Â Â Â Â Â Â Â  1 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 1 one or 1

Be taught the simplest strategy to perceive the essential idea on place worth and face worth within the second grade.

Suppose we write a quantity in figures 435 in phrases we write 4 hundred thirty 5.

Thus, Â

Â  Â  435 means Â  4 a whole lot Â  3 tensÂ Â  and Â  5 onesÂ  = Â  400Â Â  +Â Â  30Â Â  +Â Â  5

We write the expanded type of the numbers as 435 =Â Â  400Â  +Â Â  30Â  +Â Â  5

Therefore, within the quantity 435, the place worth of 4, 3 and 5 are 400, 30 and 5 respectively.

In place worth and face worth allow us to first perceive the idea of place worth of the involved digits by following the examples.

(i)Â 350 means:Â  3 a whole lotÂ  Â 5 tensÂ  andÂ  0 onesÂ  =Â  300Â Â  +Â Â  50Â Â  +Â Â  0

Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  350Â Â Â  =Â  300Â Â  +Â Â  50Â Â  +Â Â  0

Within the quantity 350, the place worth of three, 5 and 0 are 300, 50 and 0 respectively.

(ii) 602 means:Â  6 a whole lotÂ  0
tensÂ  andÂ  2 ones =Â  600Â Â  +Â Â Â  00Â Â  +Â Â Â  2

Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â 602Â Â Â Â Â  =Â  600Â Â Â  +Â Â  00Â Â  + Â Â  2

Within the quantity 602, the place worth of 6, 0 and a pair of are 600, 00
and a pair of respectively.

(iii) 278 means:

Â Â  2 a whole lot Â  7
tensÂ  andÂ Â  8 onesÂ Â  = Â  200Â Â
+Â Â  70Â Â Â  +Â Â Â  8

Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â 278Â Â Â  =Â Â  200Â Â  +Â Â  70Â Â Â
+Â  Â  8

Within the quantity 278, the place worth of two, 7 and eight are 200, 70
and eight respectively.

(iv) 777 means:Â  7 a whole lot 7
tensÂ  and seven onesÂ  =Â  700Â  Â +Â  70Â Â Â Â  +Â Â  7

Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â 777Â Â Â Â Â  =Â  700Â  Â + Â 70Â Â  Â
+Â Â  7

Within the quantity 777, the place worth of seven, 7 and seven are 700, 70
and seven respectively.

(v) 63 means:Â 0 a whole lotÂ  6
tensÂ  andÂ  3 ones Â Â Â = Â  000 Â  + Â  60 Â  +Â  Â  3

Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  63Â Â Â Â Â Â  = Â  000 Â  + Â  60 Â  +Â  Â  3

Within the quantity 63, the place worth of 0, 6 and three are 000, 60
and three respectively.

Subsequently, the place worth of a digit in a quantity is the
worth of the place which it has within the quantity.

Within the quantity 549,
the place worth of 5 is 500, of 4 is 40 and 9 is 9 as 5 occupies the place of
a whole lot, 4 occupies the place of tens and 9 occupies the place of ones or unit
within the given quantity 549.

We all know the digit in a quantity occupy the place of ones,
tens, a whole lot, 1000’s, and so on. from excessive proper to left and have the worth
of that place.

The unique worth
of a digit is named its face worth.

Within the quantity 385 the place worth of three is 300 and its face
worth is 3,

Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  the
place worth of 8 is 80 and its face worth is 8,

Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  the place worth of 5 is 5 and its face
worth is 5.

Subsequently, in any quantity its necessary to know the place
worth and face worth of a involved digit.

Questions and Solutions on Place Worth and Face Worth:

1. Fill within the blanks. One has been executed for you.

(i) 1 ten = 10 ones

(ii) 2 tens = __________

(iii)Â 3 tens = __________

(iv)Â 4 tens = __________

(v)Â 5 tens = __________

(vi) 6Â tens = __________

(vii)Â 7 tens = __________

(viii)Â 8 tens = __________

(ix)Â 9 tens = __________

2. Write the place worth of all of the digits within the following numbers.

 Number Face Worth Place Worth

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