Question

# Write the following decimals in the place value table. \begin{align} & \left( i \right)\text{ }52.5 \\ & \left( ii \right)\text{ 12}\text{.57} \\ & \left( iii \right)\text{ 15}\text{.05} \\ & \left( iv \right)\text{ 74}\text{.059} \\ & \left( v \right)\text{ 0}\text{.503} \\ \end{align}

Hint: We solve the given question by starting with dividing the given decimals into a whole number part and a fractional part. Later we drop the numbers in the whole number part one by one in the ones, tens, hundreds place and so on and then drop the numbers in fractional part after the decimal point in the tenths, hundredths place and so on.

A decimal number consists of a fractional part and a whole number divided by a decimal point. The number to the left of the decimal is the whole number part and that to the right is the fractional part.
The place value table of any decimal can be shown as

 Thousands Hundreds Tens Ones . Tenths Hundredths Thousandths 1000 100 10 1 $\dfrac{1}{10}$ $\dfrac{1}{100}$ $\dfrac{1}{1000}$

i) 52.5
In the above decimal the whole number part is 52 and the fractional part is 0.5.
Now let us consider the whole number part of the decimal. Then we go by placing the right most number in the whole number under the ones place and second rightmost one under the tens place and continue to place them so on.
Later, let us consider the fractional part of the decimal. Then we go by placing the left most number after the decimal under the tenths place and the immediate next one under the hundredths place and continue to place them so on.
So, the place value table for the decimal 52.5 looks like

 Tens Ones . Tenths 10 1 . $\dfrac{1}{10}$ 5 2 . 5

ii) 12.57
In the above decimal the whole number part is 12 and the fractional part is 0.57.
Now let us follow the similar process that was followed above.
So, the place value table for the decimal 12.57 looks like

 Tens Ones . Tenths Hundredths 10 1 . $\dfrac{1}{10}$ $\dfrac{1}{100}$ 1 2 . 5 7

iii) 15.05
In the above decimal the whole number part is 15 and the fractional part is 0.05.
Now let us follow the similar process that was followed above.
So, the place value table for the decimal looks like

 Tens Ones . Tenths Hundredths 10 1 . $\dfrac{1}{10}$ $\dfrac{1}{100}$ 1 5 . 0 5

iv) 74.059
In the above decimal the whole number part is 74 and the fractional part is 0.059.
Now let us follow the similar process that was followed above.
So, the place value table for the decimal 74.059 looks like

 Tens Ones . Tenths Hundredths Thousandths 10 1 . $\dfrac{1}{10}$ $\dfrac{1}{100}$ $\dfrac{1}{1000}$ 7 4 . 0 5 9

v) 0.503
In the above decimal the whole number part is 0 and the fractional part is 0.503.
Now let us follow the similar process that was followed above.
So, the place value table for the decimal 0.503 looks like

 Ones . Tenths Hundredths Thousandths 1 . $\dfrac{1}{10}$ $\dfrac{1}{100}$ $\dfrac{1}{1000}$ 0 . 5 0 3

Note: One can make a mistake while dropping the numbers in the table without dividing the decimal into a whole number and fractional part and dropping them from the left most number.
For example, if we consider the decimal 52.5, one can make a mistake as below, by not dividing them into the whole number and fractional part and considering 525.

 Hundreds Tens Ones 100 10 1 5 2 5

So, above is not a correct way of answering as there is no decimal point in the answer but is in question.