Order of Operations (BODMAS Rule) / āĻ—āĻŖāύāĻžā§° āĻ•ā§ā§°āĻŽ (BODMAS āύāĻŋāϝāĻŧāĻŽ)













What is the Order of Operations ?(āĻ—āĻŖāύāĻžā§° āĻ•ā§ā§°āĻŽ (Order of Operations)āĻ•āĻŋ?)


When a single math problem contains multiple operations like addition, subtraction, multiplication, and division, we must follow a specific order to get the correct answer. This sequence is called the Order of Operations. (āĻāϟāĻž āĻ—āĻŖāĻŋāϤ⧰ āϏāĻŽāĻ¸ā§āϝāĻžāϤ āϝāĻĻāĻŋ āϝ⧋āĻ—, āĻŦāĻŋāϝāĻŧā§‹āĻ—, āϗ⧁āĻŖ āφ⧰⧁ āĻ­āĻžāĻ— āφāĻĻāĻŋ āĻāĻ•āĻžāϧāĻŋāĻ• āĻ•ā§ā§°āĻŋāϝāĻŧāĻž āĻĨāĻžāϕ⧇, āϤ⧇āĻ¨ā§āϤ⧇ āĻļ⧁āĻĻā§āϧ āωāĻ¤ā§āϤ⧰ āĻĒāĻžāĻŦāϞ⧈ āϏ⧇āχāĻŦā§‹ā§° āĻāϟāĻž āύāĻŋā§°ā§āĻĻāĻŋāĻˇā§āϟ āĻ•ā§ā§°āĻŽāϤ āϕ⧰āĻŋāĻŦ āϞāĻžāϗ⧇āĨ¤ āĻāχ āĻ•ā§ā§°āĻŽāĻ• Order of Operations (āĻ—āĻŖāύāĻžā§° āĻ•ā§ā§°āĻŽ) āĻŦ⧁āϞāĻŋ āĻ•ā§‹ā§ąāĻž āĻšāϝāĻŧāĨ¤)


BODMAS Rule / BODMAS āύāĻŋāϝāĻŧāĻŽ: Sequence to Follow (āĻ…āύ⧁āϏ⧰āĻŖ āϕ⧰āĻŋāĻŦāϞāĻ—ā§€āϝāĻŧāĻž āĻ•ā§ā§°āĻŽ)

  • B = Brackets ( ) → āĻŦāĻ¨ā§āϧāύ⧀ ( )

  • O = Orders (Square, Cube, Square Root, etc.) → āϘāĻžāϤ (āĻŦā§°ā§āĻ—, āϘāύ, āĻŦā§°ā§āĻ—āĻŽā§‚āϞ āφāĻĻāĻŋ)

  • D = Division (÷) → āĻ­āĻžāĻ— (÷)

  • M = Multiplication (×) → āϗ⧁āĻŖ (×)

  • A = Addition (+) → āϝ⧋āĻ— (+)

  • S = Subtraction (−) → āĻŦāĻŋāϝāĻŧā§‹āĻ— (−)


Important Note / āϗ⧁⧰⧁āĻ¤ā§āĻŦāĻĒā§‚ā§°ā§āĻŖ āĻŸā§‹āĻ•āĻž



  • Division and Multiplication have the same priority. Solve from left to right. (āĻ­āĻžāĻ— āφ⧰⧁ āϗ⧁āĻŖā§° āĻ…āĻ—ā§ā§°āĻžāϧāĻŋāĻ•āĻžā§° āĻāϕ⧇āĨ¤ āĻŦāĻžāĻ“āρāĻĢāĻžāϞ⧰ āĻĒā§°āĻž āϏ⧋āρāĻĢāĻžāϞāϞ⧈ āϏāĻŽāĻžāϧāĻžāύ āϕ⧰āĻŋāĻŦāĨ¤)

  • Addition and Subtraction have the same priority. Solve from left to right. (āϝ⧋āĻ— āφ⧰⧁ āĻŦāĻŋāϝāĻŧā§‹āĻ—ā§° āĻ…āĻ—ā§ā§°āĻžāϧāĻŋāĻ•āĻžā§° āĻāϕ⧇āĨ¤ āĻŦāĻžāĻ“āρāĻĢāĻžāϞ⧰ āĻĒā§°āĻž āϏ⧋āρāĻĢāĻžāϞāϞ⧈ āϏāĻŽāĻžāϧāĻžāύ āϕ⧰āĻŋāĻŦāĨ¤)


Example 1 / āωāĻĻāĻžāĻšā§°āĻŖ ā§§ : 8 6 × 2 = ?

1st: Multiply first (āĻĒā§ā§°āĻĨāĻŽā§‡ āϗ⧁āĻŖ āϕ⧰āĻ•): 6 × 2 = 12


2nd: Add (āϝ⧋āĻ— āϕ⧰āĻ•): 8 + 12 = 20


Ans / āωāĻ¤ā§āϤ⧰ = 20


Example 2 / āωāĻĻāĻžāĻšā§°āĻŖ ⧍ : (10 4) × 5 = ?

1st: Inside the bracket (āĻŦāĻ¨ā§āϧāύ⧀⧰ āĻ­āĻŋāϤ⧰⧰ āĻ…āĻ‚āĻļ ) : 10 4 = 6


2nd: Multiply (āϗ⧁āĻŖ) : 6 × 5 = 30


Ans / āωāĻ¤ā§āϤ⧰ = 30


Example 3 / āωāĻĻāĻžāĻšā§°āĻŖ ā§Š : 20 ÷ (2 × 2) + 5 = ?

1st: Inside the bracket (āĻŦāĻ¨ā§āϧāύ⧀⧰ āĻ­āĻŋāϤ⧰⧰ āĻ…āĻ‚āĻļ) : 2 × 2 = 4


2nd: Division (āĻšā§°āĻŖ) : 20 ÷ 4 = 5


3rd: Addition (āϝ⧋āĻ—) : 5 + 5 = 10


Ans / āωāĻ¤ā§āϤ⧰ = 10


Tip


BODMAS : BODMA → S


BracketsOrdersDivisionMultiplicationAdditionSubtraction (āĻŦāĻ¨ā§āϧāύ⧀ → āϘāĻžāϤ → āĻ­āĻžāĻ— → āϗ⧁āĻŖ → āϝ⧋āĻ— → āĻŦāĻŋāϝāĻŧā§‹āĻ—)

Follow the BODMAS rule to get the correct answer. (āĻļ⧁āĻĻā§āϧ āωāĻ¤ā§āϤ⧰ āĻĒāĻžāĻŦāϞ⧈ āϏāĻĻāĻžāϝāĻŧ BODMAS āύāĻŋāϝāĻŧāĻŽ āĻ…āύ⧁āϏ⧰āĻŖ āϕ⧰āĻ•āĨ¤)