Example Question - parentheses in math
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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.
Mathematical Calculation Example
该数学问题遵循先乘除后加减的计算顺序，同时要注意括号内的运算应该先进行。 首先计算括号内的除法： 8 ÷ 4 = 2 然后计算剩余的除法： 24 ÷ 4 = 6 最后将两个结果相乘： 6 × 2 = 12 所以最后的答案是 12。
Solving a Subtraction Expression with Parentheses
The expression given in the image is: \( 2 - 35 - (-6 - 3) \) Let's solve this step by step: First, resolve the expression inside the parentheses. \( -6 - 3 \) equals \( -9 \). Now the expression should look like this: \( 2 - 35 - (-9) \) Next, we deal with the double negative in front of the 9 by converting it to a positive because subtracting a negative is the same as adding a positive. So, it becomes: \( 2 - 35 + 9 \) Now, perform the subtraction and addition from left to right: \( 2 - 35 = -33 \) And then, \( -33 + 9 = -24 \) Thus, the final answer is: \( -24 \)
Solving an Arithmetic Expression
To solve this expression, 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). Given the expression: 8 ÷ 2(2 + 2) First, solve the operation inside the parentheses: 2 + 2 = 4 Then, you'll have: 8 ÷ 2 * 4 Since multiplication and division are of the same precedence, you perform them from left to right: 8 ÷ 2 = 4 Now multiply that result by the 4: 4 * 4 = 16 So, the answer is 16.
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