Question

Which of the following decimals is smaller than $2.09$ ?

• A. $2.90$
• B. $2.090$
• C. $2.009$
• D. $2.99$

Answer 1

The correct option is C

$2.009$

Explanation for Correct Option :

Option C : $2.009$

If we will compare the two decimal numbers $2.009$ and $2.090$ then we will start with the whole number part which is same in both the numbers as $2$ , then compare the numbers after the decimal point , starting from tenths place ,which is same in both again as $0$ , but the number on hundredth place is different in both the numbers , $0$ in $2.009$ and $9$ in $2.090$ . So , $0<9$ .

Thus , $2.009$ is smaller than $2.090$.

Explanation for Incorrect Option :

Option A : $2.90$

If we will compare the two decimal numbers $2.009$ and $2.90$ then we will start with the whole number part which is same in both the numbers as $2$ , then compare the numbers after the decimal point , starting from tenths place ,which is different in both the numbers as $0$ in $2.009$ and $9$ in $2.90$ So , $0<9$ .

Thus , $2.90$ is greater than $2.009$.

Explanation for Incorrect Option :

Option B : $2.090$

If we will compare the two decimal numbers $2.09$ and $2.090$ then first convert them into like decimals as

$$\begin{gathered} 2.09=2.090 \\ 2.090=2.090 \end{gathered}$$

we will start with the whole number part which is same in both the numbers as $2$ , then compare the numbers after the decimal point , starting from tenths place , hundredths place and so on which is same .

Thus , $2.090$ is equal to $2.090$.

Explanation for Incorrect Option :

Option D : $2.99$

If we will compare the two decimal numbers $2.09$ and $2.99$ then first convert them into like decimals as we will start with the whole number part which is same in both the numbers as $2$ , then compare the numbers after the decimal point , starting from tenths place which is different in both the numbers as $0$ in $2.09$ and $9$ in $2.99$ . So , $0<9$

Thus , $2.99$ is greater than $2.09$.

Hence , the correct option is option C .