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What is the place value of $6$in $64$?
$A)6$
$B)60$
$C)64$
$D)10$

Answer
VerifiedVerified
417.3k+ views
Hint : First, we have to know about the place values.
Each of the given digits has the value of depending on its original place is known as the place value of the digit.
From the given that we have the place value of $6$and we need to find the place value in the given number$64 $. The several options are given as $6,60,64,10$and we need to find which options suit the above problem.

Complete step-by-step solution:
From the given number $64$, we have to find the place value of the six in the number sixty-four.
Place value of the given digit can be described as
Place value of the digit = (face value of the digit)$ \times $(value of the place)
Hence, as we see the number $6$is in the ten places.
Thus, the place value of the digit $6$is in the number $64$is $6 \times 10 = 60$
Therefore, the option $B)60$is the correct option.
Where $4$is at place one, $6$is in ten places. So, there is no possibility of getting options like $C)64$$D)10$$A)6$

Additional information:
The difference between the place value and face value are listed below,
Place value:
A place value has described the place or the position of the digit number.
Each digit of the given number has a value depending on its place.
If the place value of the digit is zero, then the original number value is always zero.
Face value:
The face value of a digit describes the value of the digits themselves.
It does not depend on the position or the place of the digit itself.
The place value of the digit zero is zero.

Note: In mathematics, every digit in the given number has a place value.
 Place value can be defined as the value represented by a digit in the given number based on its original position in the given number.
Place value of the digit = (face value of the digit)$ \times $(value of the place)
The digit $1$is the place value of one, the digit $10$where one is at the place value of ten, the digit$100$where one is at the place value of a hundred
Similarly, we are able to fund the place value of the given digits in the same method.