How to convert decimal into whole number

The number system is defined as the system to represent different numbers. It is a mathematical representation of the given set of numbers by using digits or different numbers in a fixed manner. It helps to represent every number uniquely and shows the arithmetic structure of the figures. It also helps to operate mathematical operations such as addition, subtraction multiplication, and division. In mathematics, there are multiple types of number systems such as binary, decimal, octal, etc.

A number is defined as a mathematical value that is used for counting, measuring or labeling objects. Numbers are used to performing mathematical calculations. There are different types of numbers, natural numbers, whole numbers, rational numbers, irrational numbers, etc.

Types of Numbers

  • Natural numbers are the counting numbers that have a set of positive integers from 1 to infinity. Natural numbers are represented by N. For eg- 1, 2, 3, 4, 5, 6, …
  • Whole numbers are the set of numbers with all natural numbers and zero. They are represented by W. For eg- 0, 1, 2, 3, 4, 5, …
  • Integers are the set of whole numbers with a negative set of natural numbers. They are represented by Z. For eg- …, -4, -3, -2, -1, 0, 1, 2, 3, 4, …
  • Real numbers are any number positive integers, negative integers, decimal numbers, fractions without imaginary numbers are known as real numbers. They are represented by R. For eg- 0.34, 6/7, 0, -11, 20, etc.
  • Rational numbers are written as the ratio of one number over another number (p/q). They are represented by Q. For eg- 7/2, 5/3, 8/9, etc.
  • Irrational numbers are numbers that cannot be expressed in the form of p/q. They are represented by P. For eg- √2, pi, etc.

What is a decimal number?

A decimal number is defined as a number whose whole number and fraction part are separated by a decimal. The dot between the whole number and fraction part is known as a decimal. For eg- 44.9 is a decimal number.

Here, the number before the decimal is 44 and it is the whole number part and the number after the decimal is 9 and it is the fractional part of the decimal number.

Types of Decimal Numbers

Recurring decimal numbers are the numbers that have repeating fraction parts. They are also of two types, finite and infinite. For eg- 1.231231231231… (Infinite) and 3.125125 (Finite).

Non-Recurring decimal numbers are the numbers that do not have repeating fraction parts. They are also of two types, finite and infinite For eg- 6.32521353… (infinite) and 5.345 (finite).

Steps to convert a whole number into a decimal:

Step 1: Check if the given number is a whole number or not.

Step 2: Determine the number of digits required after the decimal point.

Step 3: Add a decimal and zeroes equal to the number of digits required after the decimal point to the right side of the whole number.

How to convert a whole number into a decimal?

Solution:

A whole number is a number whose fraction part is zero. To convert a whole number into a decimal, you must decide the result to a certain number of places after the decimal point and simply add a decimal and the number of zeros required to the right side of the whole number. 

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Hint:The given question requires us to convert a number in decimal form into fraction. Whole numbers can be written in fraction form as well. This is done by multiplying and dividing the number by 10 or powers of 10. This is decided by the number of decimal places. Converting into fraction will remove the decimal places and the number is written in the form of numerator and denominator.

Complete step by step solution:
We have to convert a decimal and a whole number into fraction form.
 ${\text{Fraction}} = \left( {\dfrac{{{\text{Numerator}}}}{{{\text{Denominator}}}}} \right)$
Now, to convert a decimal expression into fraction form first, we will find the decimal places.
So, if the decimal expression has 2 decimal places, then there are two digits after the decimal point. This concludes that we will multiply and divide this number by a second power of ten.
$ \Rightarrow x \times \dfrac{{{{10}^2}}}{{{{10}^2}}}$
Now we will write the power in number form. As we know this second power of 10 is 100.
$ \Rightarrow x \times \dfrac{{100}}{{100}}$
Now, we multiply the decimal x by the 100 in the numerator and keep 100 of the denominator as it is.
Now after multiplying by 100 it will remove the decimal two places to right.
If this is already in simplest form, then we will not simplify this anymore.

Note: Note that fractions and decimals are two different forms of writing or expressing a number. But they are interconvertible. This can be done with the help of powers of 10. But always remember that fractions are in the form of ${\text{Fraction}} = \left( {\dfrac{{{\text{Numerator}}}}{{{\text{Denominator}}}}} \right)$ . Whenever we convert any number in fractions, do simplify them. So, the fraction should have only 1 as a common factor between numerator and denominator.

What is 0.5 as a whole number?

To convert it into a whole number, it needs to be rounded off to the nearest whole number. Since, the digit after decimal is equal to 5, hence, it will be rounded up to the next whole number which is 1. Hence, 0.5 as a whole number will be 1.

What is 2.5 as a whole number?

Answer and Explanation: No, 2.5 is not a whole number. Whole numbers can not contain decimals or fractions. The number 2.5 can be rounded off to a lower whole number that is 2 or a higher whole number, that is 3.

What's 1.5 as a whole number?

For example, 1.5 (pronounced as "one point five" or "one and a half") would be rounded up to 2, and 2.1 would be rounded down to 2.

How do you convert 0.2 to a whole number?

Answer: 0.2 when converted into a fraction is 1/5.