NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.6

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.6 (Ex. 8.6) Decimals in Hindi and English Medium free to use online or download in PDF file format for CBSE 2020-2021. All the solutions are free to use without any per-registration.

In class 6 Maths exercise 8.6, we will learn to add or subtract the like terms based on word problem and application based questions. Explanation videos are also helpful to understand the solutions.

Class 6 Maths Chapter 8 Exercise 8.6 Solution

Class: 6Mathematics
Chapter: 8Decimals
Exercise: 8.6Solutions of all the Questions

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Class 6 Maths Chapter 8 Exercise 8.6 Solution in Videos

Class 6 Maths Chapter 8 Exercise 8.6 Solution
Class 6 Maths Chapter 8 Exercise 8.6 Explanation

Addition of Decimals

To add decimals, we take the following steps:
Step-1: Convert the given decimals into like decimals.
Step-2: Write the numbers in column form.
Step-3: Decimal points should be aligned so that tenths come under tenths, hundredths come under hundredths and so on.

Example:
Add: 28.7, 29, 158.09 and 825.7
First of all, we convert the given decimals into like decimals.
So, the decimals will be 28.70, 29.00, 158.09 and 825.70.
Now, put them in columns and add:
2 8.7 0
+ 2 9.0 0
+ 1 5 8.0 9
+ 8 2 5.7 0
= 1 0 4 1.4 9
Hence, the sum of the given decimals is 1041.49.

Ramesh travelled 15 km 28 m by car, 9 km 814 m by bus and the rest 2 km 25 m by bicycle. How much distance did he travel in all?

We have, Distance travelled by car = 15 km 28 m = 15.028 km
Distance travelled by bus = 9 km 814 m = 9.814 km
Distance travelled by bicycle = 2 km 25 m = 2.025 km
So, Total distance travelled is:
15.028 km
+ 9.814 km
+ 2.025 km
26.867 km
Hence, total distance travelled = 26.867 km
= 26 km 867 m.

Subtraction of Decimals

To subtract decimals, we take the following steps:
Step-1: Convert the given decimals into like decimals.
Step-2: Write the smaller number under the larger one in column form in such a way that the decimal points of both the numbers are in the same column and the digits of the same place lie in the same column.
Step-3: Subtract as we do in the case of whole numbers.
Step-4: In the difference, put the decimal point directly under the decimal points of the given numbers.

Example:
Subtract 5.946 from 23.93.
Converting the given decimals into like decimals, we have 5.946, 23.930
Now,
23.930
– 5.946
17.984
Hence, difference is 17.984.

Rekha had a one hundred rupee note. She bought her school bag for Rs. 75.25. How much amount did she get back?

Total amount of money = Rs. 100 = Rs. 100.00
Amount spent on school bag = Rs. 75.25
Balance amount of money = Rs. 100.00 – Rs. 75.25
100.00
– 75.25
24.75
= Rs. 24.75

What is addition and subtraction of decimals?

To add two decimal numbers, first check if they have the same number of digits to the right of the decimal point. If they don’t, add zeros to the right of one of the numbers until they do. Then, write one number on top of the other, lining up the decimal points vertically.

What is the meaning of borrowing within mixed decimal subtraction?

If the fraction portion of a mixed number, such as 2 5/6, is more than the fraction portion of the mixed number you’re trying to subtract from, such as 3 1/6, you must “borrow” from the whole number of the mixed number you’re trying to subtract from to make its fraction bigger.

Why do you need to align decimal points before adding or subtracting?

In order to keep the numbers in the proper place-value column when adding decimals, align the decimal points. This will keep the numbers aligned; ones to ones, tenths to tenths, hundredths to hundredths, and so on.

How do you subtract mixed numbers?

To subtract mixed numbers, subtract the whole number parts of the mixed numbers and then subtract the fraction parts in the mixed numbers. Finally, combine the whole number answer and the fraction answer to express the answer as a mixed number. Subtract. Simplify the answer and write as a mixed number.

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.6
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