Rounding Decimals
Rounding decimals means approximating a decimal number to a specified place value. For example, rounding 3.78 to the nearest tenth results in 3.8, as it is closer to 3.8 than 3.7.
Rule of Rounding Decimals
The rule for rounding decimals is to identify the desired decimal place, look at the digit immediately to its right, and round up if that digit is 5 or greater, rounding down if it is 4 or less. For instance, rounding 3.78 to the nearest tenth gives 3.8, as the digit in the hundredths place (8) is greater than 5.
Rounding Decimals to Nearest Tenth
Rounding decimals to the nearest tenth means you’re making the number simpler by keeping only one digit after the decimal point. For example:
In the decimal 4.72. To round it to the nearest tenth, look at the digit in the hundredths place, which is 2. Since 2 is less than 5, you round down the digit in the tenths place. So, 4.72 rounded to the nearest tenth is 4.7
Rounding Decimals Examples
Rounding decimals involves simplifying them to a specified place value. Here are examples and techniques:
Rounding to Nearest Whole Number:
- For Example 4.78 rounded to the nearest whole number is 5, as the digit in the tenths place is 8 (greater than 5).
Rounding to Nearest Tenth:
- For example 3.46 rounded to the nearest tenth is 3.5, considering the digit in the hundredths place, which is 6(greater than 5).
Rounding to Nearest Hundredth:
- For example 2.934 rounded to the nearest hundredth is 2.93, with the digit in the thousandths place being 4(less than 5).
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