Solved Examples on Decimals
Example 1: Compare 4.67 and 4.678. Which decimal is greater, and by how much?
Solution:
To compare 4.67 and 4.678:
Both decimals have the same whole number part (4), so we move to the decimal place. In the decimal place, 678 is greater than 67.
Therefore, 4.678 is greater than 4.67. The difference between them is 0.008.
Example 2: Convert the fraction 3/5 into a decimal.
Solution:
To convert fraction 3/5 into a decimal, you can divide 3 by 5:
3/5 =0.6
Therefore, 3/5 as a decimal is 0.6.
Example 3: Express the decimal 4.267 in expanded form.
Solution:
4.267= 4×100+2×10−1+6×10−2+7×10−3
Example 4: Add 0.25, 1.6, and 4.75
Solution:
0.25 + 1.6 + 4.75
= 0.25 + 1.60 + 4.75
= 6.60
Decimals
Decimal is a numerical representation that uses a dot, which we call a decimal point, to separate the whole number part from its fractional part. The decimal numeral system is used as the standard system that is used to distinguish integer and non-integer numbers.
In this article, we will understand what decimals are, the place value of decimals, and how to round decimals along with some solved examples based on it.
Table of Content
- What are Decimals?
- Decimals Place Value Chart
- Decimals Properties
- Types of Decimals
- Arithmetic Operations on Decimals
- Rounding Decimals