Example Question - pemdas
Here are examples of questions we've helped users solve.
Order of Operations Problem
<p>Solución para el número 5:</p> <p>\begin{align*} 10 \times 5 + 25 : 5 & = 50 + 5 \\ & = 55 \end{align*}</p> <p>Solución para el número 6:</p> <p>\begin{align*} 54 : 6 - 2 \times 3 & = 9 - 6 \\ & = 3 \end{align*}</p>
How to Solve Mathematical Expressions Using PEMDAS/BODMAS
To solve the given mathematical expression, you should follow the order of operations, often remembered by the acronym PEMDAS/BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Here's how you solve the expression step by step: 1. Calculate the expression inside the parentheses first. \[ 1 + 2 = 3 \] 2. Multiply or divide from left to right. Since there is no multiplication or exponentiation to perform first, we move to division, which must account for the entire term \( 2(1+2) \), as it is common in mathematics to consider the multiplication part of the term "glued" to its next element, meaning it has to be taken as a whole. \[ 6 ÷ 2(3) = 6 ÷ 6 \] 3. Finally, divide 6 by 6. \[ 6 ÷ 6 = 1 \] The answer to the expression is 1.
Solving a simple equation using PEMDAS
To solve the equation in the image, you should follow the order of operations, often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). The equation is 4 + (6 × 2). According to the order of operations, you must first do the multiplication inside the parentheses: 6 × 2 = 12 Then, you add the result to 4: 4 + 12 = 16 So the solution to the equation is 16.
Solving Mathematical Expressions with PEMDAS
To solve the mathematical expression in the image correctly, 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 expression given is: \[ 8 \div 2(2+2) \] First, solve the operation inside the parentheses: \[ 2+2 = 4 \] Then the expression becomes: \[ 8 \div 2(4) \] \[ 8 \div 2 \times 4 \] According to PEMDAS, division and multiplication should be performed from left to right: \[ 4 \times 4 = 16 \] Therefore, the correct result of the expression is: \[ 16 \]
Order of Operations and Ambiguity in Math
This math problem is a classic example that can lead to two different answers depending on the interpretation of the order of operations. To solve it according to the standard mathematical order of operations (PEMDAS/BODMAS), you solve any expressions within parentheses first, then do multiplication and division from left to right, followed by addition and subtraction from left to right. The equation is: \[6 \div 2(1+2)\] First, solve the expression inside the parentheses. \[1+2 = 3\] Now, the equation becomes: \[6 \div 2 \times 3\] According to the order of operations, you should divide and multiply from left to right. \[6 \div 2 = 3\] \[3 \times 3= 9\] So the solution is 9. However, some people might interpret the problem differently, suggesting that the 2 should be distributed to the terms inside the parentheses first (which would be the case if the division sign was replaced with a fraction). But following the standard order of operations, the solution is 9.
Solving Equation with Order of Operations
To solve the equation in the image, you need to follow the order of operations, often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). The equation shown is: 6 - 1 × 0 + 2 ÷ 2 First, we perform the multiplication and division from left to right: 1. Multiplication: 1 × 0 = 0 2. Division: 2 ÷ 2 = 1 Now, the equation looks like this: 6 - 0 + 1 Next, we perform the addition and subtraction from left to right: 1. Subtraction: 6 - 0 = 6 2. Addition: 6 + 1 = 7 Therefore, the answer to the equation is 7.
Solving an Equation Using PEMDAS/BODMAS
This problem can be solved by applying the order of operations, also known as PEMDAS/BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Following this order: First, we solve the expression inside the parentheses: 2 + 2 = 4 Then, we use the result to complete the equation: 8 ÷ 2 × 4 In terms of the order of operations, we work from left to right, doing multiplication and division as they appear: So we first do the division: 8 ÷ 2 = 4 And then we multiply the result by 4: 4 × 4 = 16 Therefore, the answer to the equation 8 ÷ 2(2+2) = 16.
Solving a Mathematical Expression with Division and Multiplication
This mathematical expression involves the basic operations: division and multiplication. To solve this, we will follow the order of operations, commonly remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). First, solve the expression inside the parentheses: \(1 + 2 = 3\) Now the original expression simplifies to: \(6 \div 2(3)\) Following the order of operations, we perform the division and multiplication from left to right: \(3(3) = 9\) Thus, the result of the expression \(6 \div 2(1+2)\) is \(9\).
Incomplete Mathematical Expression
To solve the mathematical expression given in the image, follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). According to the image: □ * ( 20 + 4 ) First, solve the operation inside the parentheses (20 + 4): 20 + 4 = 24 Now the expression looks like this: □ * 24 However, there is an unknown factor represented by the square box (□). Without additional information or a given value for the box, the expression cannot be further simplified or calculated. You need to provide the value that should be in the square box for a complete answer.
Order of Operations Example
To solve the expression in the image, you should follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). The expression is: 90 ÷ 2 + 4 According to the order of operations, division comes before addition, so you first need to divide 90 by 2: 90 ÷ 2 = 45 Next, you add 4 to the result: 45 + 4 = 49 So, the solution to the expression is 49.
Solving Equations using PEMDAS
To solve the equation, 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). Here's how you solve the provided equation following PEMDAS: 1. Parentheses first: calculate the expression inside the parentheses. \( 5 + 2 = 7 \) 2. Then multiplication: \( 4 \times 7 = 28 \) 3. Lastly, addition: \( 28 + 8 = 36 \) Therefore, the solution to the equation is 36.
Solving Arithmetic Expression Using PEMDAS
To solve the equation in the image, follow the order of operations, which is commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). The expression is: 4 × (15 + 2) + 8 First, solve the parentheses: 15 + 2 = 17 Now you replace the sum in the parentheses with the result: 4 × 17 + 8 Next, proceed with the multiplication: 4 × 17 = 68 Finally, add the last number: 68 + 8 = 76 So the expression equals 76.
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.
Order of Operations Example
According to the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), you should perform multiplication before addition. So, for the expression \(3 + 4 \times 8\), you would first multiply 4 by 8. \(4 \times 8 = 32\) After that, you add 3 to the result. \(3 + 32 = 35\) Therefore, \(3 + 4 \times 8 = 35\).
Solving an Arithmetic Expression with Negative Numbers
The expression in the image is: \[ 9 + (-4) \times (-3)^2 \] To solve this expression, we need to follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), doing operations in this order. First, we handle the exponent: \[ (-3)^2 = (-3) \times (-3) = 9 \] Now the expression is: \[ 9 + (-4) \times 9 \] Next, we do the multiplication: \[ (-4) \times 9 = -36 \] Now the expression is: \[ 9 + (-36) \] Finally, perform the addition: \[ 9 + (-36) = 9 - 36 = -27 \] So the result of the expression is \(-27\).
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