Question

3 tenth 5 thousandths is written as
A) 35.00
B) 0.35
C) 3.5
D) 0.305

Answer 1

Hint:
Here we need to convert the given expression in numerical form. We know that the first decimal digit from the decimal point is written as the tenth digit, the second decimal digit from the decimal point is written as the hundredth digit and the third decimal digit from the decimal point is written as the thousandths digit. We will use this concept to write the given expression in numerical form.

Complete step by step solution:
Here we need to convert the given expression in numerical form.
We know that the first decimal digit from the decimal point is the tenth, the second decimal digit from the decimal point is the hundredth and the third decimal digit from the decimal point is the thousandths digit.
The given expression is 3 tenth 5 thousandths. So we can write the given expression as 3 tenths, 0 hundredths, and 5 thousandths.
Now, we will write it in numerical form.
We know 3 tenth means $${\displaystyle \frac{3}{10}}$$, 0 hundredths means $${\displaystyle \frac{0}{100}}$$ and 5 thousandths means $${\displaystyle \frac{5}{1000}}$$.
Now, we will write it in the decimal form.
So, 3 tenth 5 thousandths $$={\displaystyle \frac{3}{10}}+{\displaystyle \frac{0}{100}}+{\displaystyle \frac{5}{1000}}$$
First we will write each fraction in decimal form.
3 tenth 5 thousandths $$=0.3+0+0.005$$
On adding these decimals, we get
3 tenth 5 thousandths $$=0.305$$

Hence, the given expression i.e. 3 tenths 5 thousandths can be written as 0.305.
Thus, the correct option is option D.

Note:
We have converted the given expression in decimal form. We need to keep in mind that wherever tenths is written, it means we need to divide that number by 10. Similarly, if hundredths is written, it means we need to divide that number by 100 and if thousandths is written, it means we need to divide that number by 1000. Here, we can make a mistake by writing 3 tenths 30 and 5 thousandths as 5000, which is wrong. Here, the tenths and thousandths represent the fraction and not multiples.