Addition (+)
Subtraction (-)
Multiplication (*)
Division (/)
Power (^)
Square Root (√)
Logarithm (log base 10)
Result
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Understanding the Advanced Mathematics Calculator
This calculator is designed to perform a variety of fundamental and advanced mathematical operations. It goes beyond basic arithmetic to include powers, roots, and logarithms, providing a versatile tool for students, educators, engineers, and anyone needing to solve mathematical problems quickly and accurately.
Supported Operations:
Addition (+): Combines two numbers. The result is their sum.
Subtraction (-): Finds the difference between two numbers.
Multiplication (*): Calculates the product of two numbers.
Division (/): Divides one number by another. Handles division by zero gracefully.
Power (^): Raises the first number (base) to the power of the second number (exponent). For example, 2^3 means 2 * 2 * 2 = 8.
Square Root (√): Calculates the principal (non-negative) square root of a number. This is the inverse of squaring. For example, √9 = 3 because 3 * 3 = 9.
Logarithm (log base 10): Computes the common logarithm of a number. This asks, "To what power must 10 be raised to get this number?". For example, log(100) = 2 because 10^2 = 100.
How it Works:
The calculator takes user input for the numbers and the desired operation. Based on the selected operation, it applies the corresponding mathematical formula:
Addition: result = number1 + number2
Subtraction: result = number1 - number2
Multiplication: result = number1 * number2
Division: result = number1 / number2 (with checks for division by zero)
Power: result = Math.pow(number1, number2)
Square Root: result = Math.sqrt(number1) (requires only Number 1)
Logarithm: result = Math.log10(number1) (requires only Number 1)
Use Cases:
This calculator is useful in numerous scenarios:
Education: Students can verify homework problems, explore mathematical concepts, and practice calculations.
Engineering & Science: Quickly perform calculations involving powers, roots, and logarithms for formulas and data analysis.
Finance: Calculate compound growth (using powers) or analyze trends.
Everyday Use: From simple arithmetic to more complex calculations, it streamlines problem-solving.
The calculator includes input validation to ensure that operations are performed on valid numbers and handles edge cases like division by zero or taking the square root/logarithm of negative numbers.
function calculate() {
var operation = document.getElementById("operation").value;
var num1 = parseFloat(document.getElementById("number1").value);
var num2 = parseFloat(document.getElementById("number2").value);
var result = "";
var number1InputGroup = document.getElementById("num1Group");
var number2InputGroup = document.getElementById("num2Group");
var number1Label = number1InputGroup.querySelector('label');
var number2Label = number2InputGroup.querySelector('label');
// Reset input group visibility and styling
number1InputGroup.style.display = "";
number2InputGroup.style.display = "";
number1Label.innerHTML = "Number 1:"; // Reset label text
number2Label.innerHTML = "Number 2:"; // Reset label text
if (operation === "sqrt" || operation === "log") {
// Hide the second number input for these operations
number2InputGroup.style.display = "none";
}
// Input validation
if (isNaN(num1)) {
result = "Error: Please enter a valid number for Number 1.";
} else if ((operation === "add" || operation === "subtract" || operation === "multiply" || operation === "divide" || operation === "power") && isNaN(num2)) {
result = "Error: Please enter a valid number for Number 2.";
} else {
// Perform calculations
switch (operation) {
case "add":
result = num1 + num2;
break;
case "subtract":
result = num1 – num2;
break;
case "multiply":
result = num1 * num2;
break;
case "divide":
if (num2 === 0) {
result = "Error: Division by zero is not allowed.";
} else {
result = num1 / num2;
}
break;
case "power":
result = Math.pow(num1, num2);
break;
case "sqrt":
if (num1 < 0) {
result = "Error: Cannot calculate square root of a negative number.";
} else {
result = Math.sqrt(num1);
}
break;
case "log":
if (num1 <= 0) {
result = "Error: Logarithm is undefined for non-positive numbers.";
} else {
result = Math.log10(num1);
}
break;
default:
result = "Error: Invalid operation selected.";
}
}
document.getElementById("calculationResult").innerText = result;
}
// Initial setup to hide the second input if sqrt or log is default selected
document.addEventListener('DOMContentLoaded', function() {
var operationSelect = document.getElementById('operation');
var num2InputGroup = document.getElementById('num2Group');
if (operationSelect.value === "sqrt" || operationSelect.value === "log") {
num2InputGroup.style.display = "none";
}
operationSelect.addEventListener('change', function() {
if (this.value === "sqrt" || this.value === "log") {
num2InputGroup.style.display = "none";
} else {
num2InputGroup.style.display = "";
}
});
});