Answer
384.3k+ views
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.
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.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)