Question

Subtract: \[27.86\] from \[53.7\].

Answer 1

Hint: Here, we will find the difference between the given two decimal numbers by the arithmetic operation of subtraction. Subtraction is an arithmetic operation of removing a number of terms from a large group of terms.

Complete Step by Step Solution:
We will subtract \[27.86\] from \[53.7\].
We will first arrange the decimal points in a column.
\[\begin{array}{l}53.7\\\underline { - 27.86} \end{array}\]
Since the decimal points are not equal, we will add zeros at the end of the decimal points to the number with the least decimal point. Thus, we will equalize the decimal points of both the numbers, so that both the decimal points have the equal number of decimal digits. Therefore, we get
\[\begin{array}{l}53.70\\\underline { - 27.86} \end{array}\]
Since the digit we are subtracting is bigger than the digit we are subtracting from, we will borrow a group of ten from the column which is at the preceding left of the digit.
So, the digit 0 now becomes 10 and subtracting 6 from it, we get
\[\begin{array}{l}53.70\\\underline { - 27.86} \\4\end{array}\]
Next, the digit we are subtracting is also bigger than the digit we are subtracting from. So, we will borrow a group of ten from the column which is at the preceding left of the digit.
Now, as the digit gave 1 to 0, therefore 7 has become 6 and we cannot subtract 8 from 6. We will borrow 1 from 3, so the number becomes 16.
Subtracting 8 from 16, we get
 \[\begin{array}{l}53.70\\\underline { - 27.86} \\84\end{array}\]
Now the next digit is 2 because it gave 1 to 7. The digit we are subtracting that is 7 is also bigger than the digit we are subtracting from that is 2. Therefore, we will borrow a group of ten from the column which is at the preceding left of the digit.
So the digit 3 becomes 12. Subtracting 7 from 12, we get
 \[\begin{array}{l}53.70\\\underline { - 27.86} \\5.84\end{array}\]
Now 5 has become 4 because it has 1 to 3. Now, the digit we are subtracting that is 2 is smaller than the digit we are subtracting from that is 4, so we can subtract as it is. Therefore, we get
 \[\begin{array}{l}53.70\\\underline { - 27.86} \\25.84\end{array}\]

Therefore, \[53.7 - 27.86 = 25.84\].
So, the answer is \[25.84\].

Note:
We should remember that whenever we are subtracting decimal numbers, then the decimal digits should be the same for both the decimal numbers. Addition and Subtraction should always start from the right. We may make a mistake that whenever we are borrowing the digit to make the number greater, then 1 should be subtracted from the preceding digit.