NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.4 Square and Square Roots - PDF Download

NCERT solutions for class 8 maths chapter 5 ex 5.4 Square and Square Roots explains the long division method and square roots of decimals. It is natural to come across large and complicated numbers in mathematics, and when the numbers are large, the problem of finding the square root by prime factorization becomes very difficult and very long. This is where the long division method comes in handy to solve the problem.

In addition, you will also learn how to find the square root of decimals using the long division method, as well as how to estimate square roots. Class 8 maths chapter 5 exercise 5.4 NCERT solutions consists of 9 questions. This includes questions such as determining the number of elements in the square root of a given number without calculation, calculating long division for a given number, etc. The class 8 maths ex 5.4 solution has been prepared by an academic team of experts. ex  5.4 class 8 math chapter 5 NCERT solution is available in free pdf format which will help you to study offline as well. You can download the PDF from the eSaral website.

Topics Covered in Exercise 5.4 Class 8 Mathematics Questions

 Ex 5.4 class 8 maths chapter 5 NCERT solutions is about finding the square root using the division method and the square root of decimals. Here, you can find the detailed solutions for each topic.

1. Finding square root by division method

Here are the Steps to find the square root by division method:

Step 1- First, we need to make the pair of digits from right and if there are odd number of digits, then the single number left at left will also have a bar.

Step 2- Find the largest number whose square is less than or equal to the number under the extreme left bar. Take this number as the divisor and the quotient with the number under the extreme left bar as the dividend. Divide and get the remainder.

Step 3- Bring down the number under the next bar to the right of the remainder. 

Step 4- Double the quotient and enter it with a blank on its right.

Step 5- Guess a largest possible digit to fill the blank which will also become the new digit in the quotient, such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend.

Step 6-  If there are a large number of digits then you can repeat the steps 3, 4, 5 until the remainder does not become 0.

2. Square Roots of Decimals

In order to find the square root of a decimal number, we must apply bars to the primary part of the number as described above. For the numbers on the right side of the decimal, we need to put bars starting from the first decimal place. 

The rest of the method is the same as above. All we have to do is add a decimal in between when the decimal will come in the division.

Tips for Solving Exercise 5.4 Class 8 Chapter 5 Square and Square Roots

To solve the question of square root of ex 5.4 class 8 maths chapter 5 square and square roots, students need to be well versed with the concepts of division method and square roots of decimals. Our subject experts of eSaral have provided some important tips to learn these topics and solve the questions of ex 5.4.

1. Students must revise the previous concepts in the chapter to solve the questions in NCERT solutions class 8 maths chapter 5 ex 5.4 square and square roots.

2. Since the chapter presents the topics starting from easy ones then moving on to tougher ones thus students have to learn the starting topics of square roots to understand the long division method.

3. The students also need to remember the information provided in the chapter highlights section so that when they practice the exercise questions, they can reference them easily.

Importance of Solving Ex 5.4 Class 8 Maths Chapter 5 Square and Square Roots

By consistently answering questions and going through the solutions, students will ultimately develop the confidence to solve any complex question that arises from chapter 5 ex 5.4. 

Given below are a few benefits of regularly solving the questions from NCERT solutions class 8 maths chapter 5 ex 5.4 square and square roots.

1. Our expert teachers of maths have carefully assembled the questions in NCERT solutions for class 8 maths chapter 5 by analyzing all the concepts of exercise 5.4.

2. Students can compare their answers to NCERT solutions class 8 maths chapter 5 ex 5.4 provided by eSaral.

3. All the solutions are in PDF format so you can download them and practice anytime.

4. By solving the questions from NCERT solutions chapter 5 ex 5.4, students can gain confidence to perform well in exams.

Frequently Asked Questions

Question 1. How do you use the division method step by step? 

Answer 1. The division method can be broken down into four operations: dividing, multiplying, subtracting and bringing down.

Step 1- Divide the given number by divisor by determining the suitable integer.

Step 2- To get the number you want to subtract from the dividend, multiply the divisor and integer. 

Step 3- The number is then subtracted from the dividend.

Step 4-  Bring down the remainder and another digit (if any) from the dividend.

Step 5- Proceed with the above steps until the remainder is 0 or less than the divisor.

Question 2. How to get the maximum benefit from NCERT solutions for class 8 maths chapter 5 ex 5.4?

Answer 2. Chapter 5 ex 5.4 of NCERT solutions class 8 maths contains well-structured practice questions that cover all the major concepts of ex.5.4. Therefore, students need to thoroughly study the chapter to gain a good understanding, then practice all the questions of exercise 5.4, and pay attention to the highlighted points given in NCERT solutions.