Question

What is $\dfrac{7}{8}$ as a decimal rounded to the nearest hundredth?

Answer 1

Hint: In this type of question the decimal place nearest to which it is to be rounded, we consider the next value of the current place from the right of the decimal point. In this case it is thousand because the nearest place next to hundredth from right is thousand.
For example in 33.334 the nearest place next to the hundredth place from the right of the decimal point is 4.

Complete step-by-step solution:
For $\dfrac{7}{8}$ to be rounded to the nearest hundredth, it must be divided and converted into decimal points first.
$\therefore $ After dividing $\dfrac{7}{8}$ it can be written as,
$\dfrac{7}{8} = 0.875$
$\therefore $ The decimal value 0.875 is equivalent to $\dfrac{7}{8}$
$\therefore $ The value 0.875 must be rounded to the nearest hundredth to get the required answer.
In order to do so we have to consider the place next right to the hundredth place.
As it can be seen that,
The next place right to the hundredth place from the right of decimal point in 0.875 is 5.
As it is known that for rounding the place we have to consider the next right place and if it is greater than 5, then the place nearest to which it is to be rounded it’s value is increased by one and if it is less than 5 then the place value is not changed at all. And also the decimal places after the place which is to be rounded are removed.
In this case we have to consider the place underlined,
i.e. 0.875
As the thousand place i.e. 5 is not greater than 5 than the hundredth place value after decimal point is not increased by one and it will remain unchanged.
$\therefore {\text{ }}\dfrac{7}{8} = 0.87$ rounded to nearest hundredth place.
$\therefore $ The final answer is 0.87

Note: If the question given is in fraction then it must be converted to decimal first. Calculation is to be done carefully so that the decimal form of it is correct. The place nearest to which it is rounded can be different for different questions, so it is to be chosen accordingly. Always try to solve the question step by step.