➕ Associative Property of Addition (with −3, 2, −5) The associative property of addition says: ( a + b ) + c = a + ( b + c ) (a+b)+c = a+(b+c) ( a + b ) + c = a + ( b + c ) 👉 It means the grouping of numbers doesn’t change the sum . 🧮 Verify using −3, 2, −5 🔹 Left Side: (−3 + 2) + (−5) ( − 3 + 2 ) + ( − 5 ) Step: − 3 + 2 = − 1 -3 + 2 = -1 − 1 + ( − 5 ) = − 6 -1 + (-5) = -6 👉 Result = −6 🔹 Right Side: −3 + (2 + −5) − 3 + ( 2 + ( − 5 ) ) Step: 2 + ( − 5 ) = − 3 2 + (-5) = -3 − 3 + ( − 3 ) = − 6 -3 + (-3) = -6 👉 Result = −6 ✅ Final Conclusion Both sides give the same answer: LHS = −6 RHS = −6 ✔ Therefore, the associative property of addition is verified for −3, 2, and −5.
What is the BODMAS Rule in Arithmetic? The BODMAS rule is a standard rule used in arithmetic to decide the correct order of operations when solving mathematical expressions. 🔤 Full Form of BODMAS BODMAS stands for: B → Brackets O → Orders (powers, roots) D → Division M → Multiplication A → Addition S → Subtraction 👉 This means you must solve expressions step by step in this order . 📌 Rule Explanation (Simple Way) Solve Brackets first → (), {}, [] Solve Orders → powers like 2 3 2^3 2 3 , √ Division and Multiplication → from left to right Addition and Subtraction → from left to right 🧮 Example 1 6 + 2 × 3 6 + 2 \times 3 👉 Step-by-step: Multiply first: 2 × 3 = 6 2 × 3 = 6 Then add: 6 + 6 = 12 6 + 6 = 12 ✅ Answer = 12 🧮 Example 2 ( 8 + 2 ) × 5 (8 + 2) \times 5 👉 Step-by-step: Bracket first: 8 + 2 = 10 8 + 2 = 10 Then multiply: 10 × 5 = 50 10 × 5 = 50 ✅ Answer = 50 🧮 Example 3 20 − 4 ÷ 2 20 - 4 \div 2 👉 Step-by-step: ...