Example Question - parentheses exponents multiplication division addition subtraction
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Solving Mathematical Expressions with PEMDAS Rule
This expression can be simplified by following the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). This rule is often abbreviated as PEMDAS. Here's how to solve it step by step: 1. Evaluate the expression inside the parentheses first: (1 + 2) = 3 2. Then, the expression simplifies to: 6 ÷ 2 * 3 3. Multiplication and division are of equal precedence and are carried out from left to right, so divide 6 by 2 first: 6 ÷ 2 = 3 4. Lastly, multiply the result by 3: 3 * 3 = 9 Therefore, 6 ÷ 2(1 + 2) = 9.
Solving Math Expression using PEMDAS
To solve the expression given in the image, you should follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). The expression to evaluate is: \( 6(3 - 7)^2 + 8 \) Let's break it down step by step: 1. Calculate the expression inside the parentheses first: \( 3 - 7 = -4 \) 2. Apply the exponent to the result: \( (-4)^2 = 16 \) 3. Multiply the result by 6: \( 6 \times 16 = 96 \) 4. Finally, add 8 to the multiplication result: \( 96 + 8 = 104 \) So the value of the expression \( 6(3 - 7)^2 + 8 \) is 104.
Solving Arithmetic Expression Using PEMDAS
To solve the given expression, follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction): Given expression: 100 ÷ 2 - (12 + 13) + 7 Step 1: Solve the parentheses first: 12 + 13 = 25 Step 2: Now, the expression looks like this: 100 ÷ 2 - 25 + 7 Step 3: Next, divide 100 by 2: 100 ÷ 2 = 50 Step 4: Replace the division with its result: 50 - 25 + 7 Step 5: Now, perform subtraction and then addition (as they occur from left to right in the expression): 50 - 25 = 25 25 + 7 = 32 The value of the expression is 32, which corresponds to option (1).
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