Question

Write the place value of each digit in the following decimal: $5370.34$.

Answer 1

Hint: The place value represents the position of a digit in a number. For example, the place value of $5$ in $350$ is $50$. However, the place value of $5$ in $5006$ is $5000$. The place value of a digit of a number is calculated by multiplying the digit and the place of the digit in a number that is tens, hundred, thousand, ten thousand etc.

Complete step-by-step solution:
We have to write the place value of each digits of a decimal number $5370.34$
The place value of digit $4$ at hundredth place is $4 \times \dfrac{1}{{100}} = \dfrac{4}{{100}}$.
The place value of digit $3$ at tenth place is $3 \times \dfrac{1}{{10}} = \dfrac{3}{{10}}$.
The place value of digit $0$ at unit place is $0 \times 1 = 0$.
The place value of digit $7$ at tens place is $7 \times 10 = 70$.
The place value of digit $3$ at hundred places is $3 \times 100 = 300$.
The place value of a digit $5$ at a thousand places is $5 \times 1000 = 5000$.

Note: Face value:
The face value of any number can be represented as the value of the digit itself. For example, the face value of digit $3$ in a number $394$ is $3$ itself.
The place value of a digit on the left side of decimal is always equal or greater than the face value, however the place value of a digit on the right side of decimal is always less than the face value.
If we have to calculate the addition or difference of the face value and the place value of a digit of a given number then firstly calculate the place and the face value of the given digits of a number then perform the required operation of addition or subtraction.