Math Calculator

by
math calculator
Basic Arithmetic (+, -, *, /)Exponents (x to the power of y)Square Root (√x)Percentage (x% of y)
Addition (+)Subtraction (-)Multiplication (×)Division (÷)
Answer:

Result =

function toggleInputs(){var type=document.getElementById('calc_type').value;var row2=document.getElementById('row2');var rowOp=document.getElementById('rowOp');var l1=document.getElementById('label1');var l2=document.getElementById('label2′);if(type==='root'){row2.style.display='none';rowOp.style.display='none';l1.innerHTML='Number (x):';}else if(type==='exponent'){row2.style.display='table-row';rowOp.style.display='none';l1.innerHTML='Base (x):';l2.innerHTML='Exponent (y):';}else if(type==='percent'){row2.style.display='table-row';rowOp.style.display='none';l1.innerHTML='Percentage (%):';l2.innerHTML='Of Number:';}else{row2.style.display='table-row';rowOp.style.display='table-row';l1.innerHTML='First Number (x):';l2.innerHTML='Second Number (y):';}}function calculateResult(){var type=document.getElementById('calc_type').value;var v1=parseFloat(document.getElementById('input1').value);var v2=parseFloat(document.getElementById('input2').value);var op=document.getElementById('operation').value;var showSteps=document.getElementById('steps').checked;var res=0;var stepText="";if(isNaN(v1)){alert('Please enter a valid first number');return;}if(type==='basic'){if(isNaN(v2)){alert('Please enter a second number');return;}if(op==='add'){res=v1+v2;stepText=v1+" + "+v2;}else if(op==='sub'){res=v1-v2;stepText=v1+" – "+v2;}else if(op==='mul'){res=v1*v2;stepText=v1+" × "+v2;}else if(op==='div'){if(v2===0){alert('Cannot divide by zero');return;}res=v1/v2;stepText=v1+" ÷ "+v2;}}else if(type==='exponent'){if(isNaN(v2)){alert('Please enter the exponent');return;}res=Math.pow(v1,v2);stepText=v1+"^"+v2;}else if(type==='root'){if(v1<0){alert('Cannot take square root of negative number');return;}res=Math.sqrt(v1);stepText="√"+v1;}else if(type==='percent'){if(isNaN(v2)){alert('Please enter the second number');return;}res=(v1/100)*v2;stepText="("+v1+"/100) × "+v2;}document.getElementById('resultValue').innerHTML=res.toLocaleString(undefined,{maximumFractionDigits:4});if(showSteps){document.getElementById('stepBox').innerHTML=stepText;document.getElementById('stepBox').style.display='block';}else{document.getElementById('stepBox').style.display='none';}}function resetCalc(){document.getElementById('answer').style.display='none';document.getElementById('stepBox').style.display='none';}

Math Calculator Use

This comprehensive math calculator is designed to solve a wide range of mathematical problems, from simple arithmetic to more complex functions like exponents and percentages. Whether you are a student working on homework, a professional performing quick site calculations, or simply curious about a numerical relationship, this tool provides instant and accurate results.

By selecting different modes from the dropdown menu, you can tailor the interface to the specific math challenge you face. The inclusion of solution steps helps in understanding the logic behind the numbers, making it an excellent educational resource.

How the Math Calculator Works

Our math calculator utilizes standard algebraic hierarchy and JavaScript's mathematical libraries to process your inputs. Depending on the mode selected, the following formulas are applied:

  • Arithmetic: Performs standard addition (x + y), subtraction (x – y), multiplication (x * y), or division (x / y).
  • Exponents: Calculates the power of a number using the formula xy, where x is the base and y is the exponent.
  • Square Root: Finds the value that, when multiplied by itself, gives the original number (√x).
  • Percentage: Determines a specific portion of a whole using the formula (Percentage / 100) * Total.

Mathematical Order of Operations: PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction)

Calculation Examples

Example 1: Solving for a Percentage
Suppose you want to find 15% of 250 using the math calculator.

  1. Select "Percentage (x% of y)" from the dropdown.
  2. Input 15 in the "Percentage" field.
  3. Input 250 in the "Of Number" field.
  4. The calculator performs: (15 / 100) * 250 = 37.5.
  5. Result = 37.5

Example 2: Calculating an Exponent
Find the value of 5 raised to the power of 3 (5 cubed).

  1. Select "Exponents" from the menu.
  2. Enter 5 as the Base (x).
  3. Enter 3 as the Exponent (y).
  4. The calculator computes: 5 * 5 * 5 = 125.
  5. Result = 125

Common Math Questions

Why is division by zero undefined?

In mathematics, division is the inverse of multiplication. If you divide 10 by 0, you are asking "what number multiplied by 0 equals 10?" Since any number multiplied by 0 is 0, no such number exists, making the operation undefined. This math calculator will prevent you from attempting this calculation to avoid errors.

What is a square root?

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4 because 4 * 4 = 16. Note that our math calculator handles principal (positive) square roots for real numbers.

How do I convert a fraction to a decimal?

To convert a fraction to a decimal using this math calculator, simply use the "Basic Arithmetic" mode and perform a division. For instance, to convert 3/4, input 3 divided by 4, which equals 0.75.

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