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In today’s digital age, calculators are ubiquitous tools used in various fields, from education and finance to science and engineering. However, their journey began thousands of years ago with simple counting devices like the abacus. In this comprehensive guide, we’ll delve into the fascinating history and evolution of calculators, exploring their development, uses, and impact on society.

Calculator Use

This calculator functions akin to a small handheld device with memory features, facilitating basic mathematical operations such as addition, subtraction, multiplication, and division. Additionally, it includes functions for square roots, percentages, pi, exponents, powers, and rounding. Below, we elaborate on performing recurring operations, utilizing higher powers and roots, managing memory, and employing clear functions for this standard calculator.​

Control Options

You can operate the calculator using a mouse, keyboard, number pad, or touch, depending on device compatibility.

Functions on the Calculator

  • ÷ Division
  • × Multiplication
    • Addition
  • − Subtraction
  • = Calculate
  • +/- Toggles the positive/negative sign of the displayed number
  • mc Memory clear
  • mr Memory recall
  • m- Memory minus
  • m+ Memory plus
  • CE Clear entry
  • AC All clear
  • √x Square root
  • % Percentage
  • π pi = 3.1415926536
  • xy Exponent
  • R2 Round to 2 decimals (cents)
  • R0 Round to 0 decimals (dollars)

Input and Output Handling

  • Delete/backspace key erases one character from the right
  • Using a keyboard, backspace with the delete button
  • On a touchscreen device, tap into the display, then use the virtual keyboard delete button
  • To copy results, highlight the display window contents and copy to the clipboard

How to Use Basic Calculator Operations

Explore example calculations using the Basic Calculator. Follow the steps to input numbers and symbols, and perform calculations with operator buttons. Examples illustrate simple math and percentage calculations, as well as present and future value calculations. ​

Addition and Subtraction

Perform calculations as follows:

Calculation: Steps

  • 3 + 5 = 8
  • 7 – 9 = -2
  • 3 + (-5) = -2
  • (-7) – 9 = -16
  • 7.3 + 12.25 – 10.75 = 8.8

Multiplication and Division

Perform calculations as follows:

Calculation: Steps

  • 13 × 3 × 2 = 78
  • 25 ÷ 2 = 12.5
  • 8.35 × 17.25 ÷ 10.16 = 814.176919291

Repeating Operations

Perform calculations as follows:

Calculation: Steps

  • 3 + 5 + 5 + 5 = 18
  • 3 + 3 + 3 = 9
  • 7 – 3 – 3 – 3 – 3 = -5
  • 5 × 2 × 2 × 2 = 40
  • 26 = 2 × 2 × 2 × 2 × 2 × 2 = 64
  • 2^2^2^2^2 = 65,536

For all the above, if a second operand isn’t entered, the first operand will be repeated.

Memory Button Actions

  • mc: Memory clear
  • mr: Memory recall
  • m-: Memory minus
  • m+: Memory plus

Memory Functions

Perform calculations as follows:

Calculation: Steps

  • 7 + 8 + 9 – 15 = 9
  • 15 + 25 = 40
  • plus π42 = 50.2654824576
  • plus 12 × 6 = 72
  • = 162.26548246

Roots, Exponents, and Power Functions

Perform calculations as follows:

Calculation: Steps

  • √36 = 6
  • 62 = 36
  • or 6 × =
  • 65 = 7,776
  • or 6 × = = = =
  • 5√7,776 = 7,7761/5 = 6
  • 6-3 = 1/63 = 0.00462962963
  • or 6 xy 3 = ÷ = =

Order of Operations

Enter your calculation in the given order of execution, considering parentheses and PEMDAS priority.

Additional Operations

Perform calculations as follows:

Calculation: Steps

  • 1/x: Reciprocal or multiplicative inverse of x or, x-1
  • A = πr2: Area of a circle
  • V = (4/3)πr3: Volume of a sphere
  • PV = FV /(1+i)n: Present value (PV) of a future value (FV) at interest rate (i) for a number of years (n)
  • FV = PV(1+i)n: Future value (FV) of a present value (PV) at interest rate (i) for a number of years (n)

Percentage Operations

Perform calculations as follows:

Calculation: Steps

  • 12 plus 10% is ?
  • 10 minus 10% is ?
  • 10% of 15 is ?
  • 15 is 10% of ?

Advanced Percentage Calculations

Perform calculations as follows:

Calculation: Steps

  • List price + sales tax = final price
  • List price – discount = sale price

Correcting Mistakes

Perform calculations as follows:

Calculation: Steps

  • 3 + 5 = 8
  • 12 × 2 = 24
  • 7.329 + 4.755 = 12.084
  • 5 × 6 = 30
  • 15 + 10 = 25

The Early Beginnings: Abacus and Counting Boards

The earliest known calculator, the abacus, dates back to ancient civilizations such as the Sumerians and the Chinese. Consisting of beads or stones arranged on rods, the abacus allowed users to perform basic arithmetic operations through manual manipulation. Similarly, counting boards, such as the Roman abacus, were used in ancient Rome for calculations.​

Mechanical Calculators: The Industrial Revolution

The Industrial Revolution saw the emergence of mechanical calculators, marking a significant advancement in computing technology. Inventors like Blaise Pascal and Gottfried Wilhelm Leibniz developed mechanical devices capable of performing addition, subtraction, multiplication, and division with greater speed and accuracy than manual methods.

The Advent of Electronic Calculators

The mid-20th century witnessed the rise of electronic calculators, powered by vacuum tubes and later transistors. Innovations such as the Curta calculator and the Anita calculator paved the way for compact, portable electronic devices that revolutionized computation in both professional and personal settings.

The Digital Revolution: Handheld and Desktop Calculators

The 1970s and 1980s marked the advent of handheld and desktop calculators, featuring integrated circuits and liquid crystal displays (LCDs). Companies like Hewlett-Packard, Texas Instruments, and Casio introduced a wide range of calculators with advanced functions, programmability, and user-friendly interfaces, catering to diverse user needs.

Graphing Calculators: Educational Tools

Graphing calculators emerged as essential tools for students and professionals in mathematics, science, and engineering. Devices like the TI-83 and TI-84 series from Texas Instruments offered graphing capabilities, equation solving, and programmability, enabling users to visualize mathematical concepts and solve complex problems.

Modern Digital Calculators: Software and Apps

In the digital age, calculators have transcended hardware devices to become software applications and mobile apps. From basic arithmetic calculators to specialized scientific and financial calculators, a plethora of digital tools are available across various platforms, providing convenience and flexibility for users worldwide.

Types of Calculators and Their Uses

Basic Calculators

Basic calculators perform fundamental arithmetic operations such as addition, subtraction, multiplication, and division. They are commonly used for everyday calculations in homes, offices, and classrooms.

Scientific Calculators

Scientific calculators offer advanced functions for complex mathematical calculations, including trigonometry, logarithms, and statistical analysis. They are indispensable tools for students, scientists, and engineers.

Financial Calculators

Financial calculators are specialized tools designed for financial planning, investment analysis, and business calculations. They can calculate loan payments, interest rates, and investment returns, aiding professionals in finance and accounting.

Graphing Calculators

Graphing calculators plot graphs of mathematical functions and equations, allowing users to visualize data and analyze mathematical relationships. They are widely used in education for teaching and learning mathematics and science.

Conclusion

From ancient abacuses to modern digital calculators, the evolution of computation has been a testament to human ingenuity and innovation. Calculators have transformed the way we perform calculations, enhancing efficiency, accuracy, and productivity across various domains. As technology continues to advance, the future of calculators promises even greater capabilities and possibilities, shaping the way we interact with numbers and solve problems in the digital age.