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Decimal Calculator

Decimal Calculator

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Use this decimal calculator with steps to perform various basic to advanced arithmetic operations on decimals, integers, and whole numbers. Now you could easily add, subtract, multiply, and divide different decimals by using this online simplifying decimals calculator with work.

What Are Decimals?

“In mathematics, particular numbers that are combinations of whole numbers and a fraction are known as decimal numbers”

Digging Deeper!

Let us suppose a decimal number 3.2. In this number, we have two parts which are:

  • 3 as a whole number
  • .2 is a decimal part that could also be written as the fraction from 2/10

To know more about decimal to fraction conversion, you must tap the decimal to fraction calculator.

Arithmetic Operations on Decimals:

In the following section, we would be taking you through arithmetics of decimals that could also be done with this simplify decimal calculator. Let’s go!

How To Add Decimals?

If it comes about addition of long numbers only, that could be swiftly done by using another long addition calculator. But if it is about decimal addition, then the below guide and example is still something that you can benefit from.

  • To add decimals, the only thing to be taken care about is the decimal point itself. This means that whatever the number of decimal places just after the decimal for any two or more numbers are, you must go by placing the decimal points just above and below each other. Moreover, if the number of decimal places for both the numbers get different, you can add zeros after the decimal places to equalise both the numbers. This makes it possible to add them without any hurdle.
Example:

Add the following decimal numbers:

30.8 and 10.201

Solution:

Here we will add two zeros after the decimal digits in the first number to make it equal to the second one.

  30.800

+10.201

  41.001 (Result)

You can also verify the results by utilising our best and only adding decimals calculator.

How To Subtract Decimals?

Decimal addition and subtraction are exactly the same but opposite to each other at the same time. Let’s find how! The technique used by this subtracting decimals calculator to find the difference of two decimals follows the same rule as enlisted above for addition. The only change here to take care of is the subtraction sign. Moreover, if one number has shorter decimal digits in it, add zeros to make it equivalent to the second one. To understand better, let us resolve an example:

Example:

Subtract the following decimal numbers:

2.302 and 5.238

Solution:

Now here, we are required to subtract a greater number from a smaller one. In this case, we will simply subtract the smaller number from the greater number and put a negative sign with the result. This goes as follows:

  5.238
– 2.302

-2.936 (Result)

Which is the right answer for the combination of decimal given and can also be verified by utilising the decimal calculator.

How to do Decimal Multiplication?

Now one major query that comes to mind at this point is how to multiply decimals by whole numbers or either decimals. Multiplying decimals by whole numbers or decimals is like that of the simple numeral multiplication. But you need to take care of the following points:

  • There is no hard rule for decimal multiplication that there should be equal decimal places
  • Second and the most important, the answer will contain as many decimal digits as are in both numbers being combined. For instance, we recommend you utilise this multiplying decimals calculator to get accurate and fast computations.

Example:

Multiply the following decimal numbers:

2.3 and 5.21

Solution:

Now here, we will be placing large number above and short one below:

      5.21
×     2.3

      1563
+ 10420

11.983(Result)

Which is the required answer.

How To Divide Decimals Without Calculator?

Wondering about how to divide decimal numbers? No worries! It’s tricky enough but not impossible if you utilise our dividing decimals calculator. Moreover, coming back to the manual procedure, go by following the guide below to get results!

  • First of all, let it be clear that we will not divide the decimals directly over here as it is quite confusing
  • Simply note that which number has more decimal places in it
  • Now set the number of decimal places i the bigger number as the power of 10 and multiply it both the decimals given

This is how you will get the integers that can easily then be divided to get the desired results

Example:

Divide the decimals given as under:

2.3 and 4.21

Solution:

A the given numbers are as follows:

2.3 and 4.21

Now the bigger number is 4.21 that has two decimal places. So following the guideline aforementioned, we have:

2.3 / 4.21

= 2.3 * 10^2 / 4.21 * 10^2

= 2.3 * 100/4.21 * 100

= 23/421

Now we have an integer divisor and dividend:

23/421 = 0.546… (Result)

The resulting decimal number is an irrational decimal that can easily be interpreted by utilising the rational or irrational calculator.

Moreover to exactly divide any decimal numbers, it will be a good choice to use our best decimal division calculator.

How to Divide Decimal Exponents?

This is trickier than one discussed before. So stay focused on what we are going to tell by now!

  • If your number is decimal and is raised to a specific whole number power, then simply multiply the decimal number power times given

Example:

3.5^2 = 3.5*3.5

  • Now if the power is also the decimal, then you are required to transform the expression into the radical form and then simplify it.

Example:

(2.1)^1.2 = (2.1)^21/10 = 10(2.1)21

How To Find The Square Root of a Decimal?

Now here, the genuine technicality starts! But there is good news for you which is that the square roots in the following case can be considered as the fraction exponents. The generic expression for the case is as follows:

ᵇ√a = a^1/b

The decimal calculator also considers the same expression while determining the decimal exponents of any arithmetic depression.

How To Resolve Decimal Logarithms?

Logarithms are somehow so difficult to get a firm grip on. But do not worry as our best number to decimal calculator with logarithms will let you understand the calculations for simplification in this case.

Generally, the expression logₐb depicts that you have to carry out the calculations in such a way to raise the subscript a to a power so that it becomes b.

Now if the logarithmic sentence is in the form of fraction or simplify decimal, then you can apply basic log subtraction law to reduce to the final results. Or you can also subject yourself to the online dividing decimals calculator to swift your answers with 100% accuracy.

Example:

log3^(2.123)

Solution:

Here we have:

Log32.123

= log3 (2123/1000)

= log3 (2123) – log3 (1000)

= log3 (2123) – 10

= log3 (2123) (Result)

Further it can be reduced to the final outcomes by using this online decimal calculator.

How Decimal calculator Works?

You just need to follow a couple or more instructions defined below to use this simplify decimals calculator. Let’s know how to do that!

Input:

  • From the first drop-down list, select the arithmetic method to be performed on the decimals
  • Next, go by entering the a and b values in their respective fields
  • After you are done, hot the calculate button

Output:

The free decimal equivalent calculator does the following calculations:

  • Apply arithmetic operator on decimals as per your selection
  • Displays step by step calculations

FAQ’s:

What are the 3 types of Decimals?

The following are the three types of decimals that can also be resolved by using this online number to decimal calculator.

  • Decimal fractions
  • Recurring
  • Non-Recurring

How Do You Round Decimals?

The simple rule to round decimals is as follows:

“If the last decimal numeral is greater than 5, then go by rounding the whole number to one greater one. And when it comes to the last digit as less than 5, round off the number to the previous whole number. For instance, you may utilise the best  rounding calculator specially programmed for this purpose.

Conclusion:

Performing operations on decimals lets you create ease in the simplification of the complex decimal expressions. That is why, we have designed this free number to decimal calculator so as to reduce decimals to the most simple form that helps in minimising accuracy errors in the calculations.

References:

From the source of Wikipedia: Arithmetic, Decimal arithmetic

From the source of Khan Academy: Decimal fractions