Question

Find the difference between the values of the two 5’s in 653852.

Answer 1

Hint: First, the values of the two 5’s are calculated by multiplying 5 with its place values. The two place value of 5 is tens and ten thousand. Hence, the two values of 5 are 50,000 and 50. The difference between these two points is then calculated.

Complete step-by-step answer:
Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000. It is important that children understand that whilst a digit can be the same, its value depends on where it is in the number.

First, write the given number with place values as follows:
     L TTh Th H T O
     6 5 3 8 5 2
The two values of 5 are as follows:
\[\begin{align}
  & 5\times 10,000=50,000 \\
 & 5\times 10=50 \\
\end{align}\]
The difference between these two values is calculated as:
     \[50000-50=49950\]
Therefore, the difference between the two values of 5’s in 653582 is 49950.

Note: We should know the Indian place value system thoroughly to solve this sum. O stands for ones, T stands for tens, H stands for hundred, Th stands for thousand, TTh stands for ten thousand and L stands for lakhs. The place value after lakh is ten lakhs, crore and ten crores. For multiplying 5 and 10,000, we can calculate mentally. Since 5 multiplied by 1 gives 5, we first write a 5. The number of zeroes following 1 in 10,000 is 4. So we place 4 zeroes after 5. Hence, 5 multiplied by 10,000 gives us 50,000. The same process can be used for multiplying 5 and 10. To remember the zeroes to be added for each place value, we can count the places starting with 0 from the right.