Question

What is the difference between $1968$ and $3000$?

Answer 1

Hint: Difference means subtraction. To find the difference between $1968$ and $3000$, we have to subtract $1968$ from $3000$. To carry out the subtraction method, subtract the digits place by place, means first subtract the digits in ones place, then in tens place, then in hundreds place, then in thousands place.

Complete step by step solution:
In this question, we are given two numbers $3000$ and $1968$ and we have to find the difference between them.
The word “Difference” means subtraction.
When we have to find the difference between two given numbers, we simply have to find out how apart these two numbers are on the number line.
So, we have to find out how far apart is $3000$ from $1968$.
To find how apart these numbers are, we have to do their subtraction.
Here, we have to carry out subtraction between 3 digits numbers. Let us first understand the positions of the digits in these three digit numbers.

Digit	Place name
$8$	Ones
$6$	Tens
$9$	Hundreds
$1$	Thousands

Steps to carry out subtraction:
Step 1:
Subtract the digit in one place of $1968$ from the one's place of $3000$.
So, subtract 8 from 0. Here, 8 is greater than 0 so borrow one from left side 3. So,
$ \Rightarrow 10 - 8 = 2$
Hence, 2 will be in one place in our answer.
Step 2:
Subtract the digit in tens place of $1968$ from the tens place of $3000$.
So, subtract 6 from 0. Here, the tens place digit in $3000$ is 9 as we have borrowed 1 from 3 and then lended 1. So,
$ \Rightarrow 9 - 6 = 3$
Hence, 3 will be in the tens place in our answer.
Step 3:
Subtract the digit in hundreds place of $1968$ from the hundreds place of $3000$.
So, subtract 9 from 0. Here, the hundreds place digit in $3000$ is 9 as we have borrowed 1 from 3 and then lended 1. So,
$ \Rightarrow 9 - 9 = 0$
Hence, 0 will be in the hundreds place of our answer.
Step 4:
Subtract the digit in thousands place of $1968$ from the thousands place of $3000$.
So, subtract 1 from 3. Here, the digit in the thousands place of 3000 is 2 as we have lended 1 to other digits. So,
$ \Rightarrow 2 - 1 = 1$
Hence, 1 will be in the thousands place in our answer.
Hence, the difference between $1968$ and $3000$.

Note:
The number that is being subtracted is called as subtrahend and the number from which the number is being subtracted is called as minuend and their result is known as difference.
For example: $10 - 4 = 6$
Here, 10 is known as minuend and 4 is known as subtrahend and 6 is known as their difference.