Question

Joe is thinking of a number that is 176,896 less than 354,768. The number he's thinking of is

• A. $177,872$
• B. $177,972$
• C. $277,872$

Answer 1

The correct option is A $177,872$

Joe is thinking of a number that is $176,896$ less than $354,768$.

So, the number he's thinking of is $354,768-176,896$

First aligning both the numbers according to Place Value table,


For doing subtraction, digit at ones place of minuend must be subtracted by the digit at ones place of subtrahend, digit at tens place of minuend must be subtracted by the digit at tens place of subtrahend and so on.

So, first subtracting the digits at ones place,


Now subtracting the digits at tens place, we get

$6-9$, which is not possible

Therefore, for subtracting Digits at Tens place, we will borrow $1$ Hundreds from $7$ Hundreds.

As we know that,

$1$ Hundreds $=10$ Tens

So, digit at Tens place will become $10+6=16$ and digit at hundred place will reduced to $7-1=6$. As depicted in figure below,


Similar operations will be done for subtraction of rest of the digit's places, as depicted in figure below,


Therefore, $354,768-176,896=177,872$
So, Joe is thinking of $177,872.$