Example Question - bodmas
Here are examples of questions we've helped users solve.
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.
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 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 Basic Math Expression
The expression in the image is: \( \frac{6}{2} (1 + 2) \) To solve this, we must follow the order of operations, also known as PEMDAS/BODMAS (Parentheses/Brackets, Orders/Exponents, Multiplication and Division, Addition and Subtraction). First, solve the addition inside the parentheses: \( 1 + 2 = 3 \) Now our expression looks like: \( \frac{6}{2} \times 3 \) Next, we perform the division and then the multiplication: \( \frac{6}{2} = 3 \) Now multiply by 3: \( 3 \times 3 = 9 \) So the result of the expression is: \( 9 \)
Solving Mathematical Expression with PEMDAS/BODMAS
To solve the given problem, we must follow the order of operations, also known as PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division, and Addition and Subtraction), where multiplication and division should be performed from left to right. The calculation provided is: 9 - 3 ÷ 1/3 + 1 First, we perform the division: 3 ÷ 1/3 is the same as 3 × 3 (because dividing by a fraction is the same as multiplying by its reciprocal), which equals 9. So the expression becomes: 9 - 9 + 1 Now, we subtract and then add: 9 - 9 = 0 0 + 1 = 1 Thus, the final answer is 1.
Solving Arithmetic Expression with PEMDAS/BODMAS Order of Operations
The equation in the image follows the order of operations, which in mathematics is commonly abbreviated as PEMDAS/BODMAS: P/B - Parentheses/Brackets E/O - Exponents/Orders (i.e., powers and square roots, etc.) MD - Multiplication and Division (left-to-right) AS - Addition and Subtraction (left-to-right) First, you would solve any expressions within parentheses or brackets. \( 2 + 2 = 4 \) Next, you would address any exponents or orders if they were present, which there are not in this case. Then, you proceed with multiplication and division from left to right. So, you take the initial equation: \( 8 \div 2 \times (2 + 2) \) After solving the parentheses: \( 8 \div 2 \times 4 \) Now, you perform the division and multiplication from left to right: \( 4 \times 4 = 16 \) Therefore, the answer is 16.
Solving an Expression Using Order of Operations
To solve the equation in the image, you should follow the order of operations, commonly abbreviated as PEMDAS/BODMAS which stands for Parentheses/Brackets, Exponents/Orders, Multiplication-Division (left to right), Addition-Subtraction (left to right). The equation provided is: 8 ÷ 2(2 + 2) First, we solve the expression inside the parentheses: 2 + 2 = 4 Next, we apply multiplication or division from left to right: 8 ÷ 2 * 4 Now, we divide first since division and multiplication have the same precedence and we work from left to right: 8 ÷ 2 = 4 Then we multiply: 4 * 4 = 16 So the answer is: 16
Solving an Arithmetic Equation
To solve the equation in the image, we should follow the order of operations, which is often abbreviated as PEMDAS/BODMAS: - Parentheses/Brackets - Exponents/Orders - Multiplication and Division (from left to right) - Addition and Subtraction (from left to right) The equation is 9 - 3 ÷ 1/3 + 1. First, we deal with the division and multiplication: - Dividing by a fraction is the same as multiplying by its reciprocal. So, 3 ÷ 1/3 is the same as 3 * 3/1, which equals 9. Now the equation simplifies to: 9 - 9 + 1 Finally, we perform addition and subtraction from left to right: - 9 - 9 = 0 - 0 + 1 = 1 Therefore, the answer to the equation is 1.
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