Example Question - pemdas order of operations
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Solving a Mathematical Expression Using PEMDAS
To solve the mathematical expression in the image, you have to follow the order of operations, sometimes remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). The division symbol ":" here is equivalent to "÷". Starting with the given expression: \( 9 - 3 \div \frac{1}{3} + 1 \) Perform the division first: \( 3 \div \frac{1}{3} \) is the same as \( 3 \times 3 \) (because dividing by a fraction is the same as multiplying by its reciprocal), which equals \( 9 \). The expression now simplifies to: \( 9 - 9 + 1 \) Now proceed from left to right with subtraction and addition: \( 9 - 9 = 0 \) Now add 1: \( 0 + 1 = 1 \) So, the solution to the expression is: \( 1 \)
Solving an Equation Using PEMDAS Order of Operations
To solve the equation in the image, follow the order of operations, commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). Division and multiplication are done from left to right, as are addition and subtraction. The equation is: 9 - 3 ÷ (1/3) + 1. Now, let's solve it step by step: 1. First, perform the division: 3 ÷ (1/3). Since dividing by a fraction is the same as multiplying by its reciprocal, this becomes 3 * (3/1), which equals 9. 2. Now, replace the division part with the result, 9: 9 - 9 + 1. 3. Then, perform the subtraction: 9 - 9 equals 0. 4. Finally, perform the addition: 0 + 1 equals 1. So, the answer to the equation is 1.
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).
Solving an Arithmetic Expression using PEMDAS
The expression in the image is "6 ÷ 2(1+2)." To solve this, you should follow the order of operations, which is commonly known by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). Let's solve it step by step: 1. Calculate the expression inside the parentheses first. 1 + 2 = 3 2. The expression now is "6 ÷ 2 * 3." Next, you perform multiplication and division from left to right. 6 ÷ 2 = 3 3. Now multiply this result by the number you obtained from the parentheses. 3 * 3 = 9 Therefore, the answer to the expression is 9.
Solving Arithmetic Equation Using PEMDAS Order of Operations
To solve the equation in the image, you need to follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). The division and multiplication have the same precedence and should be performed from left to right. The same goes for addition and subtraction. The equation is: 9 - 3 ÷ 1/3 + 1 First, you need to handle the division: Since dividing by a fraction is the same as multiplying by its inverse, 3 ÷ 1/3 is equivalent to 3 × 3/1, which simplifies to 9. Now the equation looks like: 9 - 9 + 1 Now you can subtract and then add from left to right: 9 - 9 = 0 Then: 0 + 1 = 1 Therefore, the answer to the equation is 1.
Solving a Mathematical Expression Using PEMDAS Order of Operations
To solve this mathematical expression, follow the order of operations, which can be remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Let's solve it step-by-step: 1. Start with the parentheses: \( (2 + 2) = 4 \) 2. Then, according to PEMDAS, we need to do the division next since it comes before multiplication in the order of operations: \( 8 ÷ 2 = 4 \) 3. Now, multiply the result of the division by the result from the parentheses: \( 4 × 4 = 16 \) Therefore, the answer to the expression is 16.
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