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Online calculator for mathematical calculations in the Philippines

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The term "calculator" was initially used in the late fourteenth century. *Calculatus* is a Latin word that means to "measure" or "calculate." Today, a calculator is known by many titles, including a data processor, number cruncher, personal digital assistant, totalizer, and finance tool. There are many different calculators on the market these days, including basic, scientific, graphing, financial, and printing calculators.

Electronic calculators have existed since the early sixties. Early models were designed to handle basic mathematical operations like addition, subtraction, multiplication, and division. They evolved over time to execute more complex functions including trigonometric, statistics, and algebraic equations (e.g., graphing, differentiation, integration). Electronic calculators transformed into programs as modern technology progressed, operating as a particular function of a multi-purpose gadget. The advent and advancement of the mobile phone moved these calculators into the back pockets of consumers in a more compact form than ever before.

Blackberries, Android phones, Apple iPhones, and Windows phones all came with a free online calculator as a standard download by the mid-2000s. It appeared that the era of physical calculators was over. However, as far as we know, calculators did not vanish but reincarnated in a new form as online calculators. They have no activity, type, or computation function limitations. Furthermore, they give ease of use and optimal accuracy when one is performing calculations.

A free online calculator is an interactive software tool used to simulate a business process by analyzing a specified set of mathematical functions. The computation model is generated by the tool's designer, not by the end-user. An online calculator helps to take away the mathematical and analytical difficulty, leaving the end-user with a simpler interface that responds more clearly to their particular interests or skills.

There are many varieties of interactive online calculators. The range includes a simple calculator which can be used to evaluate the result of substraction, a linear equation calculator, and many more others. You can mix features and tweak your calculator to match your demands and create your own online calculator.

**Basic calculator,** or a 4-function simple calculator. A basic calculator is able to perform simple mathematical operations such as addition, subtraction, multiplication, and division. When figuring out your monthly budget or testing out a new recipe, it is best to use a basic calculator at home. It is the most utilized free online calculator.

**Scientific calculator. **A scientific calculator is often used at the middle or high school level and is helpful for students studying algebra, trigonometry, or geometry. Scientific calculators are also employed in astronomy, physics, and chemistry to calculate extremely big or incredibly small values. When scientific calculators were first introduced, they usually only had four out of five functions (addition, subtraction, multiplication, division, and square root).

**Modern scientific calculators** include many more features than the original four or five-function calculators, and the features vary by brand and model. A modern scientific calculator has the following features: scientific notation, exponential functions and roots beyond the square root, logarithmic functions, using both base 10 and base e, trigonometric functions (some including hyperbolic trigonometry), quick access to constants such as pi and e, and floating-point decimal arithmetic.

**Percentage calculator****.** A percentage is a figure or ratio that reflects a fraction of 100 in mathematics. The symbol "%", or simply "percent", is frequently used. Divide the absolute value of the difference between two numbers by the average of the two numbers to get the percentage difference between them. When you multiply the result by 100, you get a percent solution rather than a decimal one. Although the % formula can be stated in various ways, it is essentially a three-value algebraic equation: **P × V1 = V2**. V1 is the first value that the percentage will change, and V2 is the result of the percentage's operation on V1.

**Scientific notation calculator.** With the scientific notation calculator, you may convert between number formats such as scientific notation, E-notation, engineering notation, and actual numbers. Scientific notation is a model that explains numbers that are either too large or too little to be expressed in decimal form. It's also known as scientific form, or standard index form. Scientists, mathematicians, and engineers frequently utilize base-ten notation partly because it simplifies some mathematical operations. It's generally called the "SCI" display mode on scientific calculators. Nonzero numbers are represented in the form m x 10n in scientific notation.

**Pythagorean theorem calculator. **Pythagoras' theorem is a key relationship between the three sides of a right triangle. The Pythagorean theorem asserts that the area of the square formed by the longest side of a right triangle (the hypotenuse) is equal to the sum of the surfaces of the squares made up of the other two sides of the right triangle.

For sides a or b or the hypotenuse c, the Pythagorean theorem calculator computes the Pythagorean theorem equation. The triangle's hypotenuse is the side opposite the right angle. Enter any two numbers to find the third for right triangles only. The Pythagorean theorem formula is used to solve the problem. The area A of a right triangle with sides a and b are also calculated using this calculator. The area of a right triangle is calculated using the following formula: **A=ab/2.**

**Confidence interval calculator.** A confidence interval is a set of numbers determined from sample statistics that are most likely to contain unknown parameters. You'll need three sample parameters to calculate the confidence interval: the mean (average) value, the standard deviation, and the sample size, n (number of measurements taken). The standard error and margin of error can then be calculated using the following formulas:

**standard error**= σ/√n;**margin of error**= standard error * Z(0.95), where**Z(0.95)**is the z-score corresponding to a**95%**confidence level.

Here is an example of calculating a confidence interval using the confidence interval calculator.

Let's say there are 100 people in the sample.

Determine the sample's mean value. Assume it's number 3.

Calculate the sample's standard deviation. Assume the value is 0.5.

Select your degree of assurance. The most typical level of confidence is 95%.

Find the Z(0.95)-score in the statistical table, which is the 97.5th quantile of N(0,1) – in our case, 1.959.

Calculate the standard error using the formula /n = 0.5/100 = 0.05.

To get the margin of error, multiply this amount by the z-score: 0.05 1.959 = 0.098.

The confidence interval is calculated by adding and subtracting the margin of error from the mean value.

The confidence interval in our scenario is between 2.902 and 3.098.

**Square root calculator.** The square root calculator calculates the square root of any number you provide. Positive or negative real numbers can be used as inputs for the radicand **x**. If you enter a perfect square, the answer would also tell you that. Any positive real number has two potential roots. There are two kinds of roots: positive and negative. The square root of a number **x** is a number such that **a2 = x**.

**Percentage increase calculator.** A percentage increase calculator estimates the percentage change from one value to another. To figure out, subtract the original value from the end value. Subtract that amount from the initial value's absolute value. To gain a percent increase, multiply by 100. A negative percentage indicates that there was a drop rather than a gain. For instance, your favorite outfit cost ₱36 last year, and this year, it costs ₱45. What is the difference in price between last year and this year for this dress?

45 - 36 = 9;

9 / 36 = 0.25;

0.25 100 = 25%;

Therefore, the cost of your favorite dress jumped by **25% **from last year to this year.

**Fractions calculator.** A fraction is a number that represents a portion of a whole in mathematics. There is a numerator and a denominator in it. The numerator is the total number of components that make up a whole, whereas the denominator is the number of equal parts that make up that whole.

For example, the numerator of the fraction 3/8 is three, and the denominator is eight. Basic and advanced fraction operations, formulations with fractions combined with integers, decimals, and mixed numbers are all performed by a fractions calculator. It also gives step-by-step instructions on how to calculate fractions. The calculator assists in determining the value of a fraction based on numerous fraction operations. Solve problems with two, three, or more fractions and numbers in one statement.

**Integral calculator.** An integral is a mathematical term that explains displacement, area, volume, and other variables that come from the combination of tiny data. Integration is the process of locating integrals. An integral calculator is a mathematical device that makes evaluating integrals simple. The online integral calculator is a quick and accurate solution to solve various integral problems.

**Probability calculator.** The probability of an event occurring is quantified by probability. It is interpreted as the number between 0 and 1, with 1 denoting certainty and 0 indicating the event's impossibility. As a result, the higher the possibility of an occurrence, the more probable it will happen. Probability can be expressed quantitatively as the number of desired outcomes divided by the number of outcomes in the most basic scenario. This is influenced by various factors, including whether the events being analyzed are standalone, mutually unique, or dependent.

**Standard deviation calculator.** In statistics, standard deviation (abbreviated as **σ**) measures variance or dispersion (the extent to which a distribution stretches or squeezes) between values in a set of data. The lower the standard deviation, the closer the data points to the mean (or expected value) **σ** tend to be. On the other hand, a bigger standard deviation suggests a wider range of values. Standard deviation, like other mathematical and statistical ideas, can be applied to various contexts, resulting in a variety of equations. The standard deviation calculator calculates population and sample standard deviations and confidence intervals.

**P-value calculator.** A p-value calculator (probability value) computes a numerical value used in statistical hypothesis testing to assess whether the results obtained are significant. The null hypothesis is a sort of assumption in statistical hypothesis testing that states a default position, such as no link between groups or relationship between two observations. A p-value calculator works on the assumption that p-value is a probability of getting test results in an experiment that are at least as extreme as the observed results, assuming the null hypothesis is valid. To put it another way, calculating a p-value aids in assessing how probable the observed data are to diverge from the null hypothesis.

**Finance calculators. **These are electronic calculators that conduct common financial activities in business and commerce (simple interest, compound interest, amortization, cost/sell/margin, conversion, cash flow, etc). These devices contain dedicated keys for various financial computations and tasks, making them easier to perform than on regular calculators. Financial calculators may be user-programmable, allowing the users to add features not included by default by the manufacturer.

**Mortgage calculator.** The mortgage calculator can help you calculate your monthly payment and other mortgage-related fees. Extra payments or annual percentage increases of common mortgage-related fees can be included. A mortgage calculator's fundamental components are the loan amount, down payment, loan duration, and interest rate.** **

**Auto loan calculator.** When buying a car, a majority of individuals use auto loans. They work as any secured loan from a bank, with a common tenure of 36, 60, 72, or 84 months in the Philippines. Borrowers must repay principal and interest to auto loan lenders every month. The car might be legally repossessed if the money borrowed from a lender is not paid back. Use the monthly payments tab (reverse auto loan) to compute the exact car purchase price and other auto loan details if only the monthly payment for any auto loan is specified.

**Refinance calculator.** Loan refinancing entails taking out a new loan to pay off an existing one, usually with better conditions. Refinancing terms and conditions varies greatly. Home mortgages, car loans, and student loans are examples of refinancing. The collateral can be moved to new loans if existing ones have leverage (assets that guarantee loans). When debt is replaced due to financial difficulties, it is referred to as debt restructuring, which reduces and renegotiates delinquent loans to enhance or restore liquidity. The refinance calculator can assist in the planning of a loan refinancing in a variety of situations and a side-by-side comparison of an existing and refinanced loan.

**ROI calculator.** ROI calculators are among the most popular platforms due to the significance of return on investment in consumer purchase decisions. It might be tied to a product or service in addition to promoting the company's marketing strategy. A user can easily compute ROI by entering information such as monthly spending and conversion rate. Another example is an online calculator that calculates how much money a consumer would save if they invested in a specific service in three phases.

**Sales tax calculator.** A sales tax calculator online can help with various issues related to the tax imposed on the sale of goods and services. It can figure out the gross price based on the net price and the tax rate, or it can reverse the process as a reverse sales tax calculator. As the sales tax system is relatively convoluted, the rate varies based on the state and the tax base. The most common sales tax in the Philippines is the retail sales tax, which is imposed at the state level.

Consumers pay the item's price plus the sales tax, collected by the retailer at the cash register and printed on the receipt. Using an online sales tax calculator, compute sales tax. Determine the sales tax rate.

Let's say the percentage is 4% in our case.

Determine a product's net price. Let's utilize 45.

To calculate the tax amount, multiply the net price by 4%, or 0.04, as: 45 * 0.04 = 1.8.

To calculate the gross price, add the tax amount to the net price: 45 + 1.8 = 46.8.

**Body fat calculator.** Body fat consists of both necessary and stored fat. Essential body fat is a type of fat that is present in almost all parts of the body. The body fat calculator may estimate your total body fat based on precise parameters. Consult the "Metric Units " tab (SI) if you're more acquainted with the International System of Units, or look at the "Metric Units" tab (SI). Measure to within ¼ inch to get the best results (0.5cm). This computation is based on the Navy's approach; however, it includes the BMI method for calculating body fat %.

**BMI calculator.** Your BMI, or body mass index, is a calculation that compares your weight to your height. A BMI calculator will help you determine whether your weight is healthy for you personally. BMI is computed by dividing your weight (in kilograms) by the square of your height (in meters), or BMI = Kg/M2.

**Lead body mass calculator.** Lean body mass (LBM) is the difference between total body weight and body fat weight. It is a component of body composition. This means that it considers the mass of all organs, excluding body fat, such as bones, muscles, blood, skin, and everything else. While the proportion of LBM is rarely calculated, it typically ranges from 60% to 90% of total body weight. Based on body weight, height, gender, and age, the lean body mass calculator calculates a person's estimated lean body mass (LBM). The calculator provides the results of different formulas for comparison.

**BAC calculator.** Alcohol intoxication, often known as inebriation, is measured by blood alcohol concentration (BAC). It's usually represented as a percentage of alcohol concerning blood volume. BAC of 0.08 (0.08%) in the Philippines (PH) corresponds to 0.08 grams of alcohol per 100 mL of blood. BAC calculator calculates the blood alcohol content in various situations.

**Calorie calculator**. The calorie calculator can calculate how many calories a person needs each day. This calculator can also give easy tips about weight gain or weight loss.

One of the key advantages of the online calculator is how simple it is to use. Everything is directly seen on the screen, just like a real calculator, with even tips to help you simplify your calculations. Most of these calculators are advanced enough to display the computations for even the most challenging problems.

The online calculator provides numerous benefits by removing the need to fret over losing your calculator. You can handle any calculation without any difficulty, no matter where you are. The results are precise and accurate. This is critical, especially in stressful situations where everything must be perfect. Online calculators can help you avoid mistakes when performing various jobs.

An online calculator also has several features that set it apart. It can assist you in performing calculations that are difficult to perform with other calculators or in certain conditions. Another advantage of using an online calculator is that the platform is constantly being improved.

The online calculator may be operated with a regular keyboard. A simple online calculator works similarly to a portable handheld one, including memory functions. The following are some of the basic memory and clear functions:

Memory clear ®

**mc**Memory recall ®

**mr**Memory minus ®

**m-**Memory plus ®

**m+**All clear ®

**AC**Square root ®

**√x**Percent ®

**%**Clear entry ®

**CE**Division ®

**/**(**divide**)Multiplication ®

**x**(**multiply**)Subtraction ® - (

**minus**)Addition ®

**+**(**plus**)Equal to ®

**=**Plus/Minus ®

**+/-**Decimal ®

**.**Numbers ®

**0-9**Pi ®

**p**Square: ®

**x2**Round to 2 decimals ®

**R2**Round to 0 decimals ®

**R0**Delete/Backspace ® erases one character at a time from the right side of the display.

To erase the calculation while working, use AC and use EC to erase the most recent calculation.

Please note that the online calculator's memory is at 0, until you click on m+ or m-. Any time you click m+ the displayed number is added to the number in the calculator's memory.

Whenever you click m-, the number on the screen is subtracted from the number in the calculator's memory.

**Keyboard control**. Tabbing among the calculator keys allows you to utilize the calculator without using a mouse. When a key is focused, press "Enter." However, because you must browse over all keys in order, this method might be tedious.**Text size**. You can vary the text size in some browsers such as Chrome, and the size of the calculator, text, and buttons will adjust proportionally.**Zoom**. Use the zoom tool in your browser to increase the size of the calculator. The calculator, text, and buttons all vary in proportion.**Touch screen zoom**. Use your fingers to zoom in and out of the calculator on your touch screen. The calculator, text, and buttons all vary in proportion.**Number keypad control**: You can use the calculator in most popular browsers with most number pads and keyboards for numbers, clear, and the fundamental functions of addition, subtraction, multiplication, and division, as well as delete/backspace.

Online calculators are software and datasets that make calculations quick and simple. For any programming language or system, particular mathematical formulas are required. These calculations can be done quickly and easily using a free online calculator rather than a physical calculator. Unlike conventional calculators, online calculators make calculating simple.

Calculators are currently either digital or analog. However, with the advent of online calculators, many of them are now being deployed and used to meet the specialized demands of businesses in various industries. Every company, sooner or later, faces a circumstance in which sales decline and revenue ceases to flow. Everybody must collect customers' orders from their website and other sources. Furthermore, visitors to websites commonly request an estimate of just how much items or services will cost them.

You can also store your profile for future revisions if certain information needs to be altered or updated. Online calculators can also simplify employee payments by feeding data straight into a system's database. Because businesses have unique requirements, online calculators must be designed so that they can immediately meet these requirements without requiring a wide variety of calculations. Furthermore, online calculators can manage online activities appropriately as long as a firewall protects them.

Numerous websites offer online calculators in financial, mortgage, loan, building, medical, mathematics, automotive, cooking, and other areas. Using online calculators on a website to simplify work with clients is a tried-and-tested Internet marketing strategy. Online calculators can be used to process orders and payments, streamline sales work, and cut down on the time one spends engaging with consumers.

To calculate the monthly mortgage amount (denoted as **M**), you need the principle amount (denoted as **P**), interest rate (denoted as **I**), and period (вenoted as **N**). Now, convert your variables using the formula to get the sum borrowed. To find the actual borrowed amount, subtract your down payment from the total cost of your property. To find your monthly interest rate, divide the quoted annual interest rate by 12. To get the total number of monthly payments, multiply the number of years in your mortgage term by 12. For example:

Let's suppose you're looking to buy a ₱1,250,000 property with a 20% down payment and a 30-year mortgage. This loan comes with a 5% interest rate from the mortgage lender. Subtract your 20% down payment from the ₱1,250,000 property price to arrive at your total borrowed amount "P." This provides you with a total of ₱1,000,000 in borrowed funds. So, here’s what you do:

**P = ₱1,250,000 - (20% of ₱1,250,000) = ₱1,250,000 - ₱250,000 = ₱1,000,000**

To figure out your monthly interest rate, divide your yearly interest rate of 5% by 12 to get your monthly interest rate "I." Before dividing, ensure to convert your mortgage rate to decimals so you don't come up with a value that's a hundred times greater than it should be.

**I = 5% ¸ 12 = 0.05 ¸ 12 = 0.004167**.

Finally, multiply the total number of years of your loan by 12 to get the total number of monthly payments "N." Because our sample loan has a 30-year term, this equals 360 months.

**360 = N = 30 years multiplied by 12 months**

Add the tax rate to the price of your goods or service. If you have a percentage tax rate, multiply it by 100 to get a decimal tax rate. Then, in the multiplication procedure, use this number. Determine the list price and the tax percentage. To generate a decimal tax rate, divide the tax percentage by 100. Multiply the list price by the decimal tax rate to calculate the tax amount. Add the tax amount to the list price to calculate the total price. For example, you're buying a new coffee maker for your kitchen. The coffee machine costs ₱7000, plus a 12% sales tax in your state. Next, use this formula to calculate:

**Sales tax rate = % of sales tax divided by 100.****Sales tax = the quoted price multiplied by the sales tax rate.****Total price + sales tax, or total price + (list price * sales tax rate), or total price +x (1 + sales tax rate)**

**Calculation**:

The list price is ₱7000, excluding a 12% tax rate.

Divide the tax rate by 100; 12/100= 0.12

Multiply the price by the tax rate in decimals: 7000 x 0.12= 840

A ₱7000 coffee machine will cost you ₱840 in taxes.

To determine the total price, add the tax to the list price: 7000 + 840 = ₱7840.

You can do simple or advanced calculations with an online calculator. For instance, on a graphing calculator: **Input – Enter – Compute**

In the input field, under the y= tab, and x= tab, type the expression and value of x.

To insert a new expression or equation, use the Enter key.

Use the on-screen mathematical keyboard to type your expression.

Use the physical keyboard to clear or delete texts for making changes.

**Example**: Calculate the graph for y = x3 + x - 1 where x = 5 and verify it using the graphing calculator.

**Solution:**

Using the math keyboard, under the Y= box type the equation x3 + x - 1

In the x= box enter 5

Press the compute button to start the calculation.

You will get your result, and the graph will be formed on your screen; you can use it to verify your results.

Right beneath the display area is a row of sophisticated operators and functions. Tap the **Down arrow** on the right to access more advanced operators and features.

Pi (π), superscript for exponents (^), cosine (cos), tangent (tan), logarithm (ln, log), and square root (√) are some of the buttons you'll encounter.

Tap DEG or RAD to switch between degree and radian units.

The current mode appears at the upper left when using a trigonometric function.

Tap INV to find more buttons.

Pi and Euler's numbers are examples of mathematical constants. You can perform difficult calculations such as trigonometric, logarithmic, exponential, and factorial computations. You can scroll to find more digits if your result is a long number.