# Write the place value of $2$ in the following decimal number: $2.56$ .

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Hint: The given question is related to the place value of a digit in a number. Place value of a digit is defined as the value of a digit in a number due to its position.

Complete step-by-step answer:

Before proceeding with the question, we have to understand the concept of place value of a digit in a number. The place value of a digit in a number is the value represented by the digit in a number by virtue of its position. It is the value contributed by the digit in the value of the number. For example: In the number \[13402\] , the place value of $3$ is $3000$ as it is in the thousands place. Also, the value of the number is determined as $13402=10000+3000+400+2$ . Here the contribution of digit $3$ is $3000$ . Hence, its place value is equal to $3000$ . The digit $1$ is in the ten-thousands place. Hence, its place value is equal to $1\times 10000=10000$ . Similarly, the digit $4$ is in the hundreds place. So, its place value is $400$ . The place value of digit $0$ is always $0$ irrespective of its position in the number. The digit $2$ is in the unit’s place. So, its place value is $2$ . In case of decimal numbers, the digits to the right side of the decimal have fractional place value. For example: In the number $0.256$ , the digit is in the one-tenths place. So, its place value is $2\times \dfrac{1}{10}=\dfrac{1}{5}$ .

Now, coming to the question, the given number is $2.56$ . The digit $2$ is in the unit’s place. So, its place value will be $2$ .

Note: Students generally get confused between place value and face value. The place value of a digit is the value of a digit in a number due to its position. Whereas, the face value of a digit is the value of the digit itself and it does not depend upon the position of the digit in the number

Complete step-by-step answer:

Before proceeding with the question, we have to understand the concept of place value of a digit in a number. The place value of a digit in a number is the value represented by the digit in a number by virtue of its position. It is the value contributed by the digit in the value of the number. For example: In the number \[13402\] , the place value of $3$ is $3000$ as it is in the thousands place. Also, the value of the number is determined as $13402=10000+3000+400+2$ . Here the contribution of digit $3$ is $3000$ . Hence, its place value is equal to $3000$ . The digit $1$ is in the ten-thousands place. Hence, its place value is equal to $1\times 10000=10000$ . Similarly, the digit $4$ is in the hundreds place. So, its place value is $400$ . The place value of digit $0$ is always $0$ irrespective of its position in the number. The digit $2$ is in the unit’s place. So, its place value is $2$ . In case of decimal numbers, the digits to the right side of the decimal have fractional place value. For example: In the number $0.256$ , the digit is in the one-tenths place. So, its place value is $2\times \dfrac{1}{10}=\dfrac{1}{5}$ .

Now, coming to the question, the given number is $2.56$ . The digit $2$ is in the unit’s place. So, its place value will be $2$ .

Note: Students generally get confused between place value and face value. The place value of a digit is the value of a digit in a number due to its position. Whereas, the face value of a digit is the value of the digit itself and it does not depend upon the position of the digit in the number

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