ConvertOnline

• Document
• Image
• Color
• Maths
• Physics
• ⇆ Units
• 🇺UTF-8
• Calculators
• Current Time
• Notepad

{
  "topic": "bodmas",
  "input_types": [
    "text"
  ],
  "input_labels": [
    "input"
  ],
  "input_descriptions": [
    "Mathematical Expression"
  ],
  "input_values": [
    "(25+45)/(5-3)"
  ],
  "type": "Calculate",
  "title": "BODMAS",
  "category": "Arithmetic",
  "formula_mathjax": "\\( e \\)",
  "formula": " input ",
  "formula_captions": "<span>n</span> is an integer value.",
  "op_label": "Solved Value",
  "no_formula_calculation": true,
  "explanation": "This BODMAS calculator takes a mathematical expression as input and solves the expression using BODMAS rules.",
  "content": "<h2>Understanding BODMAS</h2>\n<p>The BODMAS rule is an acronym representing the order of operations to solve mathematical expressions. The sequence is as follows:</p>\n<ul>\n<li><b>B</b>rackets</li>\n<li><b>O</b>rders (i.e., powers and square roots, etc.)</li>\n<li><b>D</b>ivision and <b>M</b>ultiplication (from left to right)</li>\n<li><b>A</b>ddition and <b>S</b>ubtraction (from left to right)</li>\n</ul>\n<p>Using the BODMAS rule ensures that you solve mathematical expressions correctly by performing the operations in the right order.</p>\n<p>Consider the following expression as an example:</p>\n<p class=\"tabspace\">\\( \\text{Expression} = (25 + 45) / (5 - 3) \\)</p>\n<p>Let's solve it step by step according to the BODMAS rule:</p>\n<ul>\n<li>First, solve the <b>Brackets</b>: \\( 25 + 45 = 70 \\) and \\( 5 - 3 = 2 \\)</li>\n<li>Then, perform the <b>Division</b>: \\( 70 / 2 = 35 \\)</li>\n</ul>\n<p>The final result of the expression is:</p>\n<p class=\"tabspace answer\">Therefore, the value of the expression is 35.</p>\n\n<h2>Examples</h2><p>Here are a few more examples to illustrate the application of the BODMAS rule:</p><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">1.</span> Solve the expression \\( (30 + 20) * 2 / (10 - 5) \\)</h3><h4 class=\"answer\">Answer</h4><p>First, solve the brackets:</p><ul><li>\\( 30 + 20 = 50 \\)</li><li>\\( 10 - 5 = 5 \\)</li></ul><p>Then, proceed with multiplication and division:</p><p class=\"tabspace\">\\( 50 * 2 / 5 = 100 / 5 = 20 \\)</p><p>The expression is simplified by first performing the multiplication, followed by the division:</p><p class=\"tabspace answer\">Thus, the calculated value of the expression is 20.</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">2.</span> What is the value of the expression \\( 8 + (10 / 2) * (3 - 1) \\)</h3><h4 class=\"answer\">Answer</h4><p>First, solve the brackets:</p><ul><li>\\( 10 / 2 = 5 \\)</li><li>\\( 3 - 1 = 2 \\)</li></ul><p>Then, proceed with multiplication and addition:</p><p class=\"tabspace\">\\( 8 + 5 * 2 = 8 + 10 = 18 \\)</p><p>The expression is solved by handling the multiplication within the brackets and then adding the results:</p><p class=\"tabspace answer\">As a result, the expression evaluates to 18.</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">3.</span> Evaluate the expression \\( 6 * (4 + 3) - 10 / 2 \\)</h3><h4 class=\"answer\">Answer</h4><p>Start by solving the brackets:</p><ul><li>\\( 4 + 3 = 7 \\)</li></ul><p>Next, perform the multiplication and division:</p><ul><li>\\( 6 * 7 = 42 \\)</li><li>\\( 10 / 2 = 5 \\)</li></ul><p>Finally, subtract the results:</p><p class=\"tabspace\">\\( 42 - 5 = 37 \\)</p><p>The expression is simplified by first handling the operations within the brackets, followed by the multiplication, division, and subtraction:</p><p class=\"tabspace answer\">Therefore, the final value of the expression is 37.</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">4.</span> Calculate the result of \\( 50 - (6 * 2 + 8) / 4 \\)</h3><h4 class=\"answer\">Answer</h4><p>First, solve inside the brackets:</p><ul><li>\\( 6 * 2 = 12 \\)</li><li>\\( 12 + 8 = 20 \\)</li></ul><p>Then, perform the division:</p><ul><li>\\( 20 / 4 = 5 \\)</li></ul><p>Finally, subtract from 50:</p><p class=\"tabspace\">\\( 50 - 5 = 45 \\)</p><p>The expression is simplified by performing the operations inside the brackets first, followed by the division, and finally the subtraction:</p><p class=\"tabspace answer\">Thus, the result of the expression is 45.</p></div>"
}