NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.3

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.3 (Ex. 8.3) Decimals for academic session 2020-2021 updated for CBSE and State board exams. All the solutions are in Hindi Medium and English Medium free to use online or download in PDF file format.

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Class 6 Maths Chapter 8 Exercise 8.3 Solution

Class: 6 Mathematics
Chapter: 8Decimals
Exercise: 8.3Solutions in Hindi and English

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Class 6 Maths Chapter 8 Exercise 8.3 Solution in Videos

Class 6 Maths Chapter 8 Exercise 8.3 Solution
Class 6 Maths Chapter 8 Exercise 8.3 Explanation

Like and Unlike Decimals

Like Decimals:

Decimals having the same number of decimal places are called like decimals.
For example, 2.1, 4.6, 8.5 etc. and 2.01, 4.06, 8.05 etc. are groups of like decimals.

Unlike Decimals:

Decimals having different number of decimal places are called unlike decimals. For example, 3.6, 5.58, 6.879 etc. are unlike decimals.

Note: The addition of zeroes to the extreme right of a decimal part does not change the value of the decimal number, i.e., 6.3 = 6.30 = 6.300 = 6.3000 etc. Such decimals are called equivalent but unlike decimals. Thus, without changing the value of a decimal number, the number of decimal places can be increased simply by adding required number of zeroes to extreme right of its decimal part.

Conversion of Unlike Decimals into Like Decimals

Example 1:
Express 4.3, 0.752, 52.56, 183.06 as a set of like decimals.
Here, the decimal number having highest decimal places is 0.752. It has 3 decimal places. Therefore, we have to convert other decimals into their equivalent decimals which have three decimal places, i.e., 4.3 = 4.300, 52.56 = 52.560 and 183.06 = 183.060 Thus, 4.300, 0.752, 52.560 and 183.060 is a set of like decimals.

Comparing Decimals

To compare two decimals, we take these steps:
Step-1: Convert the given decimals into like decimals.
Step-2: First, compare the whole number parts.
Step-3: If they are the same, compare the tenths digits.
Step-4: If they are the same, compare the hundredths digits and so on.

Compare 18.69 and 11.32.

Given decimals are 18.69 and 11.32.
Let us compare their whole number parts.
Clearly, 18 > 11.
So, 18.69 > 11.32

Which is greater 24.875 or 24.814?

Given decimals are 24.875 and 24.814.
Here, both the decimals have equal whole number parts, namely 24.
So, we compare their decimal parts.
Their tenths digits are same.
Let us compare their hundredths digits.
Clearly, 7 hundredths > 1 hundredth.
So, 24.875 > 24.814.

How many numbers are there after the decimal point?

Decimal numbers, such as O. 6495, have four digits after the decimal point. Each digit is a different place value. The first digit after the decimal point is called the tenths place value.

Does 0 count as a decimal place?

The decimal place accuracy of a number is the number of digits to the right of the decimal point. The decimal point is a period written between the digits of a number. If there is no decimal point, it is understood to be after the last digit on the right and there is no place (zero place) accuracy.

How many decimal places should I round to?

The better rule is to report rounded up to one significant digit, which works across the spectrum of values. Thus a decimal places rule that ignores significant digits does not work.

Class 6 Maths Chapter 8 Exercise 8.3
6 Maths Chapter 8 Exercise 8.3