What is the place value of $5$ in $65.45$
Answer
543.3k+ views
Hint: First, we need to know about the concept of place value and face value.
The place value describes the position or place of a digit in a given number. each of the digits of the number has a value depending on its place. Place value of the digit can be calculated by the face value times of the numerical value of the place.
The face value of a digit describes from value of the digit itself. It does not depend on which position or place of the digit in a number. The face value of a digit equals the numerical value of the digits themselves.
Complete step by step answer:
Since from the given that we are asked to find the place value of $5$ in $65.45$
First, we will check the place value for the before number which is given as $65$
Hence the place of $65$ can be expressed as
Place of the second digit $5 = 5$ (ones)
Place value of the unit digit $6 = 6 \times 10$ (tens)
Similarly, after the point values numbers are given as $.45$ and which can be expressed as in the form of $.45 = \dfrac{4}{{10}} + \dfrac{5}{{100}}$
Thus, the place value of $4$is tenths
The place value of the $5$ is hundredths
Therefore, the place value of $5$ in $65.45$ are ones and hundredths.
Note:
The concept of the place value that counting of the place of any digit starts from the end digits of the given numbers
The place value of the digit zero in a given number is always expressed as zero. The place value of the digit is zero.
The face value of the digit is the exact value of the number itself
The place value describes the position or place of a digit in a given number. each of the digits of the number has a value depending on its place. Place value of the digit can be calculated by the face value times of the numerical value of the place.
The face value of a digit describes from value of the digit itself. It does not depend on which position or place of the digit in a number. The face value of a digit equals the numerical value of the digits themselves.
Complete step by step answer:
Since from the given that we are asked to find the place value of $5$ in $65.45$
First, we will check the place value for the before number which is given as $65$
Hence the place of $65$ can be expressed as
Place of the second digit $5 = 5$ (ones)
Place value of the unit digit $6 = 6 \times 10$ (tens)
Similarly, after the point values numbers are given as $.45$ and which can be expressed as in the form of $.45 = \dfrac{4}{{10}} + \dfrac{5}{{100}}$
Thus, the place value of $4$is tenths
The place value of the $5$ is hundredths
Therefore, the place value of $5$ in $65.45$ are ones and hundredths.
Note:
The concept of the place value that counting of the place of any digit starts from the end digits of the given numbers
The place value of the digit zero in a given number is always expressed as zero. The place value of the digit is zero.
The face value of the digit is the exact value of the number itself
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