Question

How do you write $\dfrac{17}{22}$ as a decimal rounded to the nearest hundredth?

Answer 1

Hint: According to the question we have to write the given number $17/22$ as a decimal rounded to the nearest hundredth.
So, first of all we have to divide the given number $17/22$ by division rule. So, first of all we have to understand about the division rule for division of a fraction which is mentioned below,
Division rule: When we divide a number by another number, we will have the terms dividend, divisor, quotient and remainder. The number which we divide is called dividend. The number by which we divide is called the divisor. The result obtained is called the quotient and the number left over is called the remainder.
Now, we can write the above rule with relationship among the terms dividend, divisor, quotient and remainder using the algorithm as given below.
Dividend $ = $ Quotient $ \times $ Divisor $ + $ Remainder
Now, we have to understand this algorithm formula by an example as given below.
$ \Rightarrow $30 $ = $3 $ \times $8 $ + $6
Now, in the just above expression we can see that 30 is dividend, 3 is Quotient, 8 is divisor and 6 is remainder.

Complete step-by-step solution:
Step 1: First of all we have to divide the given number $17$ by $22$ as given below.
$ \Rightarrow $ $0.77272727.........$
Step 2: Now, we can see that $27$ is repeated after dividing $17$ by $22$. So, we can write it in this form as given below,
$ \Rightarrow 0.77\overline {27} $
Step 3: Now, according to question to the nearest hundredth in math means to round off to two decimal places, so here in the obtained value as $0.77\overline {27} $, 2 is less than 5, and so the final answer will be,
$ \Rightarrow 0.77$
Hence, the decimal rounded to the nearest hundredth of the given number which is $17/22$ is $0.77$.

Note: It is necessary to understand about the division rule of a fraction for solving the given number in the question.
It is necessary to check that the number which is after two decimal points is less than 2 or not.