Question

Round off to nearest thousands. The given number is $24,500$.
(a) $24,400$
(b) $24,600$
(c) $25,000$
(d) $24,000$

Answer 1

Hint: In the above question, we have been asked to round off the givne number $24,500$ to the nearest thousands. For this, we need to first write the given number as a multiple of thousand, which will be written as $24.5\times 1000$. Then we need to round off the decimal number $24.5$ to the nearest whole number, which will be done by comparing the digit after the decimal point with the number $5$. If the digit is less than five, then simply it will be made zero. But if it is greater than or equal to five, then it will be made zero after incrementing the digit before the decimal point by one.

Complete step by step solution:
The number given in the above question is $24,500$.
According to the question, we need to round off this number to the nearest thousands. For this we have to write the number as a multiple of thousand, for which we multiply and divide the given number by $1000$ to get
$\begin{align}
  & \Rightarrow 24,500\times \dfrac{1000}{1000} \\
 & \Rightarrow \dfrac{24,500}{1000}\times 1000 \\
 & \Rightarrow 24.5\times 1000 \\
\end{align}$
Now, we have to round off the number $24.5$ to the nearest whole number. For this, we compare the digit after the decimal point, which is equal to $5$, with the number $5$. Since it is equal to $5$, we increment the digit before the decimal, equal to $4$, by one to make it $5$ and make the digit after the decimal equal to zero. So we will obtain the number as
$\begin{align}
  & \Rightarrow 25.0\times 1000 \\
 & \Rightarrow 25000 \\
\end{align}$
Hence, the correct answer is option (c).

Note: Students may get confused when the digit to be compared is equal to five, as in the case of this question. We must remember that the increment of the digit is done when the next digit is greater than or equal to five. Also, we must remember there is no case of decrementing the digit in the rounding off.