Question

Which of the following decimals is greater than $0.17$ ?

• A. $0.19$
• B. $0.017$
• C. $0.0017$
• D. $0.0012$

Answer 1

The correct option is A

$0.19$

Explanation of Correct Option :

Option A : $0.19$

In order to compare $0.19$ and $0.17$ , first we have to compare the whole number part which is same in both that is $0$ , then compare the decimal places after the decimal point starting from tenths place , in both the decimal numbers the number on tenths place is $1$ . Now compare the number on hundredths place , we will see that the numbers are different that is $9\mathrm{and}7$. Hence , $9>7$.

Therefore , $0.19$ is greater than $0.17$ .

Explanation of Incorrect Option :

Option B : $0.017$

In order to compare the two decimals first convert them into like decimals :

$$\begin{gathered} 0.17=0.170 \\ 0.017=0.017 \end{gathered}$$

Now , we have to compare whole number part first in both numbers which is same as $0$ then compare the first decimal place after the decimal point which is $1$in $0.170$ and $0$ in $0.017$ .Hence , $0.017<0.170$.

Therefore , $0.017$is less than $0.170$ .

Explanation of Incorrect Option :

Option C : $0.0017$

In order to compare the two decimals first convert them into like decimals :

$$\begin{gathered} 0.17=0.1700 \\ 0.0017=0.0017 \end{gathered}$$

Now , we have to compare whole number part first in both numbers which is same as $0$ then compare the first decimal place after the decimal point which is $1$in $0.1700$ and $0$ in $0.0017$ .Hence , $0.0017<0.1700$.

Therefore , $0.0017$ is less than $0.1700$ .

Explanation of Incorrect Option :

Option D : $0.0012$

In order to compare the two decimals first convert them into like decimals :

$$\begin{gathered} 0.17=0.1700 \\ 0.0012=0.0012 \end{gathered}$$

Now , we have to compare whole number part first in both numbers which is same as $0$ then compare the first decimal place after the decimal point which is $1$in $0.1700$ and $0$ in $0.0012$ .Hence , $0.0012<0.1700$.

Therefore , $0.0012$ is less than $0.1700$ .

Hence , the correct option is option A .