Question

How do you identify the tens place digit in $7045.18$?

Answer 1

Hint: We first describe the terms face value and place value. We find the differences. We then find place values of $7045.18$ according to their naming. We found the solution for tens place digit $7045.18$.

Complete step-by-step solution:
Every digit in a decimal number can be broken according to their place values.
Place value is defined as the digit multiplied wherever it is placed, either by hundreds or thousands. Face value is simply defined as the digit itself within a number. Place value of a digit should be multiplied by the digit value of the position where it is located.
The digits before a decimal are named as units, tens, hundreds and so on.
All the digits after decimal are named according to their inverse of tens, hundreds and so on which are called as tenth, hundredth and so on respectively.
In $7045.18$, 5 is unit placed digit, 4 is tens place digit, 0 is hundreds place digit, 7 is thousands placed digit.
Also, 1 is tenth place digit, 8 is hundredth placed digit.
Therefore, the tens place digit in $7045.18$ is 4.

Note: We can mathematically express them in the form of multiplication.
The places of unit, tens, hundreds can be expressed as multiplication of $1,10,100,...$ and the places of tenth, hundredth can be expressed as multiplication of $\dfrac{1}{10},\dfrac{1}{100},...$
Therefore, $7045.18$ can be expressed as $7045.18=7\times 1000+0\times 100+4\times 10+5\times 1+1\times \dfrac{1}{10}+8\times \dfrac{1}{100}$