What are Decimals?

Decimals are numerical representations that extend our understanding of whole numbers by introducing a fractional component. In the decimal system, numbers are expressed in units, tenths, hundredths, and so forth, with each digit’s position indicating a specific decimal place value. This system allows for precise representation of values lying between two whole numbers, facilitating more accurate measurements and calculations in various fields.

Reading Decimals

A decimal point is read as,

Decimals Definition

Decimals are used to represent numbers in smaller parts than a whole using a system where each digit’s position indicates a specific decimal place. This allows for a more accurate representation of values between whole numbers.

Reading and Writing Decimals

Reading and writing decimals involves understanding the place value of digits after the decimal point. Here are the steps:

Step 1. Read Whole Number Part: Identify the digits to the left of the decimal point as the whole number part.

Step 2. Read Decimal Part: State the digits to the right of the decimal point as individual digits. For example, in the decimal 38.75, read “thirty eight point seven five.”

Step 3. Write Decimal in Words: Express the decimal numerically and verbally. For example, 4.2 can be written as “four point two”.

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

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What are Decimals?

Decimals are numerical representations that extend our understanding of whole numbers by introducing a fractional component. In the decimal system, numbers are expressed in units, tenths, hundredths, and so forth, with each digit’s position indicating a specific decimal place value. This system allows for precise representation of values lying between two whole numbers, facilitating more accurate measurements and calculations in various fields....

Decimals Place Value Chart

In the chart given below, you will see that from the tenth place, there is only 1 digit after decimal. Still, we count it as the tenth-place value. This is because decimals also take a place value....

Decimals Properties

The properties of decimals under multiplication and division operations are as follows:...

Types of Decimals

There are three basic types of decimals in maths. These are:...

Arithmetic Operations on Decimals

Arithmetic operations on decimals involve addition, subtraction, multiplication, and division, following similar principles as whole numbers....

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....

Comparing Decimals

Comparing decimals involves determining which decimal is greater or smaller. Follow these steps:...

Decimals to Fraction

The conversion of decimal to fraction or vice versa can be performed easily....

Decimal Conversion Examples

Few examples of Decimal Conversion are as follow:...

Solved Examples on Decimals

Example 1: Compare 4.67 and 4.678. Which decimal is greater, and by how much?...

Practice Questions on Decimals

Q1. Compare 0.325 and 0.53. Determine the relationship between these decimals and express it using the symbols “>” or “<“....

Decimals Frequently Asked Questions

What does Decimal 0.5 Mean?...