Step-by-Step Math Calculator
:root {
–primary-blue: #004a99;
–success-green: #28a745;
–light-background: #f8f9fa;
–white: #ffffff;
–gray-dark: #343a40;
–gray-light: #6c757d;
}
body {
font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif;
line-height: 1.6;
color: var(–gray-dark);
background-color: var(–light-background);
margin: 0;
padding: 20px;
}
.loan-calc-container {
max-width: 800px;
margin: 40px auto;
background-color: var(–white);
padding: 30px;
border-radius: 8px;
box-shadow: 0 4px 15px rgba(0, 0, 100, 0.1);
}
h1, h2 {
color: var(–primary-blue);
text-align: center;
margin-bottom: 25px;
}
.input-section, .result-section {
margin-bottom: 30px;
padding: 25px;
background-color: var(–white);
border: 1px solid #e0e0e0;
border-radius: 6px;
}
.input-group {
margin-bottom: 20px;
display: flex;
flex-wrap: wrap;
align-items: center;
}
.input-group label {
flex: 1;
min-width: 150px;
margin-right: 15px;
font-weight: 500;
color: var(–gray-dark);
text-align: right;
}
.input-group input[type="number"],
.input-group select {
flex: 2;
padding: 10px 12px;
border: 1px solid #ccc;
border-radius: 4px;
font-size: 1rem;
box-sizing: border-box; /* Important for consistent sizing */
}
.input-group select {
cursor: pointer;
}
.button-group {
text-align: center;
margin-top: 20px;
}
button {
background-color: var(–primary-blue);
color: var(–white);
border: none;
padding: 12px 25px;
border-radius: 5px;
font-size: 1.1rem;
cursor: pointer;
transition: background-color 0.3s ease;
margin: 0 5px;
}
button:hover {
background-color: #003366;
}
.result-section h2 {
margin-bottom: 15px;
}
#calculationSteps {
margin-top: 15px;
padding: 15px;
border: 1px dashed var(–primary-blue);
border-radius: 5px;
background-color: var(–light-background);
font-size: 0.95rem;
color: var(–gray-light);
text-align: left;
white-space: pre-wrap; /* Preserves formatting */
}
#finalResult {
margin-top: 20px;
padding: 20px;
background-color: var(–success-green);
color: var(–white);
font-size: 1.8rem;
font-weight: bold;
text-align: center;
border-radius: 6px;
box-shadow: 0 2px 10px rgba(40, 167, 69, 0.4);
}
.article-content {
margin-top: 40px;
padding: 30px;
background-color: var(–white);
border: 1px solid #e0e0e0;
border-radius: 6px;
}
.article-content h2 {
text-align: left;
color: var(–primary-blue);
margin-bottom: 20px;
}
.article-content p,
.article-content ul,
.article-content li {
margin-bottom: 15px;
color: var(–gray-dark);
}
.article-content code {
background-color: #e9ecef;
padding: 3px 6px;
border-radius: 3px;
font-family: Consolas, Monaco, 'Andale Mono', 'Ubuntu Mono', monospace;
}
@media (max-width: 600px) {
.input-group {
flex-direction: column;
align-items: stretch;
}
.input-group label {
text-align: left;
margin-bottom: 8px;
margin-right: 0;
}
.input-group input[type="number"],
.input-group select {
width: 100%;
}
.loan-calc-container {
padding: 20px;
}
h1 {
font-size: 1.8rem;
}
#finalResult {
font-size: 1.5rem;
}
}
Step-by-Step Math Calculator
Calculation Steps & Result
Enter numbers and select an operation to begin.
—
Understanding the Step-by-Step Math Calculator
This Step-by-Step Math Calculator is designed to perform basic arithmetic operations and a few common mathematical functions, providing a clear breakdown of how the result is achieved. It allows users to input two numbers and select an operation, then presents the intermediate steps and the final outcome.
Available Operations Explained:
- Addition (+): Combines two numbers. The calculator shows
First Number + Second Number = Result.
- Subtraction (-): Finds the difference between two numbers. The calculator shows
First Number - Second Number = Result.
- Multiplication (
*): Calculates the product of two numbers. The calculator shows First Number * Second Number = Result.
- Division (
/): Divides the first number by the second. The calculator shows First Number / Second Number = Result. It includes a check to prevent division by zero.
- Power (
^): Raises the first number to the power of the second number. The calculator shows First Number ^ Second Number = Result.
- Square Root (
√): Calculates the square root of the first number. The second number input is ignored for this operation. The calculator shows √First Number = Result. It includes a check for non-negative numbers.
- Modulo (
%): Calculates the remainder when the first number is divided by the second number. The calculator shows First Number % Second Number = Result. It includes a check to prevent division by zero.
How it Works:
The calculator uses JavaScript to process your inputs. When you click "Calculate Step-by-Step":
- It reads the values from the "First Number" and "Second Number" input fields.
- It identifies the selected "Operation".
- Based on the operation, it performs the corresponding mathematical calculation.
- It constructs a step-by-step description of the calculation performed.
- It displays both the detailed steps and the final computed result.
Use Cases:
- Students: Verifying homework problems, understanding basic arithmetic and functions.
- Everyday Tasks: Quick calculations for budgeting, measurements, or simple problem-solving.
- Learning: Visualizing mathematical steps for common operations.
- Developers: Testing simple mathematical logic or debugging code snippets.
This calculator prioritizes clarity and accuracy, ensuring you can not only get a result but also understand the process behind it.
function calculate() {
var num1Input = document.getElementById("number1");
var num2Input = document.getElementById("number2");
var operatorSelect = document.getElementById("operator");
var calculationStepsDiv = document.getElementById("calculationSteps");
var finalResultDiv = document.getElementById("finalResult");
var num1 = parseFloat(num1Input.value);
var num2 = parseFloat(num2Input.value);
var operator = operatorSelect.value;
var result = 0;
var steps = "";
var displayNum2Group = document.getElementById("number2-group");
// Show/Hide second number input based on operator
if (operator === "sqrt") {
displayNum2Group.style.display = "none";
} else {
displayNum2Group.style.display = "flex";
}
// Input validation
if (isNaN(num1)) {
calculationStepsDiv.innerHTML = "Error: Please enter a valid number for the first input.";
finalResultDiv.textContent = "–";
return;
}
if (operator !== "sqrt" && isNaN(num2)) {
calculationStepsDiv.innerHTML = "Error: Please enter a valid number for the second input.";
finalResultDiv.textContent = "–";
return;
}
// Perform calculation based on operator
switch (operator) {
case "add":
result = num1 + num2;
steps = "Step 1: Add the two numbers.\n" +
num1 + " + " + num2 + " = " + result;
break;
case "subtract":
result = num1 – num2;
steps = "Step 1: Subtract the second number from the first.\n" +
num1 + " – " + num2 + " = " + result;
break;
case "multiply":
result = num1 * num2;
steps = "Step 1: Multiply the two numbers.\n" +
num1 + " * " + num2 + " = " + result;
break;
case "divide":
if (num2 === 0) {
calculationStepsDiv.innerHTML = "Error: Cannot divide by zero.";
finalResultDiv.textContent = "–";
return;
}
result = num1 / num2;
steps = "Step 1: Divide the first number by the second.\n" +
num1 + " / " + num2 + " = " + result.toFixed(6); // Display with reasonable precision
break;
case "power":
result = Math.pow(num1, num2);
steps = "Step 1: Raise the first number to the power of the second.\n" +
num1 + " ^ " + num2 + " = " + result;
break;
case "sqrt":
if (num1 < 0) {
calculationStepsDiv.innerHTML = "Error: Cannot calculate the square root of a negative number.";
finalResultDiv.textContent = "–";
return;
}
result = Math.sqrt(num1);
steps = "Step 1: Calculate the square root of the first number.\n" +
"√" + num1 + " = " + result.toFixed(6); // Display with reasonable precision
break;
case "modulo":
if (num2 === 0) {
calculationStepsDiv.innerHTML = "Error: Cannot perform modulo operation with zero divisor.";
finalResultDiv.textContent = "–";
return;
}
result = num1 % num2;
steps = "Step 1: Calculate the remainder of the division.\n" +
num1 + " % " + num2 + " = " + result;
break;
default:
steps = "Invalid operation selected.";
finalResultDiv.textContent = "–";
return;
}
calculationStepsDiv.textContent = steps; // Use textContent to prevent HTML interpretation
finalResultDiv.textContent = result.toString();
}
function resetCalculator() {
document.getElementById("number1").value = "";
document.getElementById("number2").value = "";
document.getElementById("operator").value = "add";
document.getElementById("calculationSteps").innerHTML = "Enter numbers and select an operation to begin.";
document.getElementById("finalResult").textContent = "–";
document.getElementById("number2-group").style.display = "flex"; // Ensure it's visible on reset
}
// Initial check to hide number2 if sqrt is default (though it's not)
document.addEventListener('DOMContentLoaded', function() {
var operatorSelect = document.getElementById("operator");
var displayNum2Group = document.getElementById("number2-group");
if (operatorSelect.value === "sqrt") {
displayNum2Group.style.display = "none";
}
});