Question

Sanjeev scored \[1,086,000\] points in a video game. Which of the following expressions below is equal to \[1,086,000\]?
A. \[100 + 80 + 6\]
B. \[1,000 + 80 + 6\]
C. \[1,000,000 + 80,000 + 6,000\]
D. \[1,000,000 + 800,000 + 60,000\]

Answer 1

Hint: Here we carefully observe the digits in one place, tens place, hundreds place and other places in the given number. Then we write the number in terms of the sum of the numbers where the digit in its place is displayed with zeroes and no other digit after it.

Complete step-by-step answer:
We are given the number \[1,086,000\]
We know the first digit from right side is ones place
So, ones place has 0
The number to be added becomes 0 … (1)
Now, the second digit from the right side is tens place
So, tens place is 0
The number to be added becomes 00 … (2)
 Now, the third digit from the right side is hundreds place
So, hundreds place is 0
The number to be added becomes 000 … (3)
Now, the fourth digit from the right side is thousands place
So, thousands place is 6
The number to be added becomes 6000 … (4)
Now, the fifth digit from the right side is ten thousands place
So, ten thousands place is 8
The number to be added becomes 80000 … (5)
Now, the sixth digit from the right side is lakhs place
So, lakhs place is 0
The number to be added becomes 00000 … (6)
Now, the seventh digit from the right side is ten lakhs place
So, ten lakhs place is 1
The number to be added becomes 1000000 … (7)
So we write the given number as a sum of equations (1) to (7)
\[ \Rightarrow 1000000 + 00000 + 80000 + 6000 + 000 + 00 + 0\]
Now we remove the terms containing only zeros
\[ \Rightarrow 1000000 + 80000 + 6000\]

So, the correct option is C.

Note: Students may get confused between options C and D as they both are very similar. But keep in mind we can neglect the option D just by looking at the rightmost term 60,000 which contradicts our given number as there are only three zeros after the digit 6.