
RD Sharma Solutions for Class 6 Maths Chapter 7 Decimals Exercise 7.7 provide step-by-step explanations to help students understand the concept of like and unlike decimals.
This exercise focuses on identifying decimals that are not equivalent, recognizing like decimals based on the number of digits after the decimal point, and converting unlike decimals into like decimals by adding zeroes.
These concepts align well with the exam pattern and are frequently asked in school assessments. Referring to this exercise helps students strengthen their foundation as per the latest CBSE Class 6 Maths syllabus.
Solving RD Sharma and previous year papers ensures better practice, conceptual clarity, and improved exam performance. With regular revision and consistent effort, students can master the topic of decimals and perform confidently in their exams.
Exercise 7.7 of Chapter 7 in RD Sharma Class 6 Maths focuses on building a strong understanding of decimals, especially the concepts of:
Equivalent Decimals
Like and Unlike Decimals
Converting Unlike Decimals into Like Decimals
In this exercise, students are asked to compare decimals and check which ones are equal or not equal in value.
They also learn to identify decimals that look different but mean the same, such as 0.8, 0.80, and 0.800. These are called equivalent decimals, because adding zeroes after the decimal does not change the value.
Next, the exercise teaches how to spot decimals—those that have the same number of digits after the decimal point—and unlike decimals, which have a different number of digits after the point.
Finally, students practice converting unlike decimals into like decimals by adding zeroes as needed. This makes it easier to compare or calculate with them.
This exercise builds confidence in handling decimal numbers and prepares students for more advanced decimal operations in future chapters.
Here are the detailed solutions for RD Sharma Class 6 Maths Chapter 7 Exercise 7.7 on Decimals.
1. Choose the decimal (s) from the brackets which is (are) not equivalent to the given decimals:
(i) 0.8 (0.80, 0.85, 0.800, 0.08)
(ii) 25.1 (25.01, 25.10, 25.100, 25.001)
(iii) 45.05 (45.050, 45.005, 45.500, 45.0500)
Solution:
(i) 0.8 (0.80, 0.85, 0.800, 0.08)
We know that 0.85 and 0.08 are not equivalent to the given decimal
For 0.85, 5 is in the hundredth place and for 0.8 the hundredth value is 0.
For 0.08, 0 is in the tenth place and for 0.8 the tenth value is 8.
(ii) 25.1 (25.01, 25.10, 25.100, 25.001)
For 25.01, 0 is in the tenth place and for 25.001 the tenth value is 0.
(iii) 45.05 (45.050, 45.005, 45.500, 45.0500)
For 45.005, 0 is in the hundredth place and for 45.05 the hundredth value is 5
For 45.500, 5 is in the tenth place and for 45.05 the tenth value is 0.
2. Which of the following are like decimals?
(i) 0.34, 0.07, 5.35, 24.70
(ii) 45.05, 4.505, 20.55, 20.5
(iii) 8.80, 17.08, 8.94, 0.27
(iv) 4.50, 16.80, 0.700, 7.08
Solution:
(i) 0.34, 0.07, 5.35, 24.70
The given values are like decimals because equal number of digits are present after the decimal point.
(ii) 45.05, 4.505, 20.55, 20.5
The given values are unlike decimals because different number of digits are present after the decimal point.
(iii) 8.80, 17.08, 8.94, 0.27
The given values are like decimals because equal number of digits are present after the decimal point.
(iv) 4.50, 16.80, 0.700, 7.08
The given values are unlike decimals because different number of digits are present after the decimal point.
3. Which of the following statements are correct?
(i) 8.05 and 7.95 are like decimals.
(ii) 0.95, 0.306, 7.10 are unlike decimals.
(iii) 3.70 and 3.7 are like decimals.
(iv) 13.59, 1.359, 135.9 are like decimals.
(v) 5.60, 3.04, 0.45 are like decimals.
Solution:
(i) Correct because the two decimals have same number of digits present after decimal point.
(ii) Correct because the three decimals have different number of digits present after decimal point.
(iii) Incorrect because the two decimals have different number of digits present after decimal point.
(iv) Incorrect because the three decimals have different number of digits present after decimal point.
(v) Correct because the three decimals have same number of digits present after decimal point.
4. Convert each of the following sets of unlike decimals to like decimal:
(i) 7.8, 7.85
(ii) 2.02, 3.2
(iii) 0.6, 5.8, 12.765
(iv) 5.296, 5.2, 5.29
(v) 4.3294, 43.29, 432.94
Solution:
(i) 7.8, 7.85
In the given values we know that 7.85 contains 2 digits after decimal point so by changing 7.8 as 7.80
Hence, 7.80 and 7.85 are like decimals.
(ii) 2.02, 3.2
In the given values we know that 2.02 contains 2 digits after decimal point so by changing 3.2 as 3.20
Hence, 2.02 and 3.20 are like decimals.
(iii) 0.6, 5.8, 12.765
In the given values we know that 12.765 contains 3 digits after decimal point so by changing 0.6 as 0.600 and 5.8 as 5.800
Hence, 0.600, 5.800 and 12.765 are like decimals.
(iv) 5.296, 5.2, 5.29
In the given values we know that 5.296 contains 3 digits after decimal point so by changing 5.2 as 5.200 and 5.29 as 5.290
Hence, 5.296, 5.200 and 5.290 are like decimals.
(v) 4.3294, 43.29, 432.94
In the given values we know that 4.3294 contains 4 digits after decimal point so by changing 43.29 as 43.2900 and 432.94 as 432.9400
Hence, 4.3294, 43.2900 and 432.9400 are like decimals.
Students can download the PDF of RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.7 from the link provided below.
This PDF includes simple, step-by-step solutions to help students clearly understand the concepts of like and unlike decimals and equivalent decimal values.
Whether you're studying online or offline, this downloadable format is perfect for daily revision and thorough practice.
Study without using the internet
To score well in Exercise 7.7, it’s important to understand the concept of decimal places and how to compare decimal numbers. Here are some effective tips:
Understand place value in decimals: Know how tenths, hundredths, and thousandths affect a number’s value.
Learn to spot like decimals: Practice checking if decimals have the same number of digits after the point. For example, 2.50 and 4.75 are like decimals (2 digits after the point).
Compare values carefully: Even if two decimals look different (like 0.6 and 0.600), they may still be equal in value. Focus on their meaning, not just appearance.
Use zero smartly: Learn how adding zeroes after the decimal point (e.g., 5.2 → 5.20) helps convert unlike decimals into like ones without changing the value.
Practice grouping decimals: Try exercises that ask you to identify and group like decimals. This strengthens your understanding for future calculations.
