Example Question - pemdas rule
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Mathematical Expression Calculation using PEMDAS/BIDMAS Rule
La imagen muestra un problema matemático que dice así: \( (4 \cdot 5 - 2) + ( 4 \cdot 3 + 9 \cdot 3 - 2 \cdot 10) \) Para resolver este problema, vamos a seguir el orden de operaciones conocido como PEMDAS/BIDMAS, que indica que primero se deben hacer las multiplicaciones y divisiones de izquierda a derecha y luego las sumas y restas de izquierda a derecha. Así que empecemos por resolver las multiplicaciones dentro de los paréntesis: \( (4 \cdot 5 - 2) = (20 - 2) = 18 \) \( (4 \cdot 3) = 12 \) \( (9 \cdot 3) = 27 \) \( (2 \cdot 10) = 20 \) Ahora realizamos la suma y la resta dentro del segundo conjunto de paréntesis: \( (12 + 27 - 20) = (39 - 20) = 19 \) Finalmente sumamos los resultados de ambos paréntesis: \( 18 + 19 = 37 \) La respuesta es 37.
Order of Operations Example
首先，我们要遵循运算顺序法则（有时称为PEMDAS/BODMAS法则），即先乘除后加减，同时注意同等级的操作要从左往右进行。 所以首先我们计算除法部分 3 ÷ \(\frac{1}{3}\)。当我们将一个数除以一个分数时，相当于将这个数乘以那个分数的倒数。因此，3 ÷ \(\frac{1}{3}\) 等于 3 × 3 = 9。 然后，我们将原来的问题变成了 9 - 9 + 1。 从左到右依次计算： 9 - 9 = 0 0 + 1 = 1 所以，最终的答案是 1。
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 Fractions in an Expression using PEMDAS/BODMAS Rules
To solve the expression provided in the image, we must first understand the order of operations, which usually follows the PEMDAS/BODMAS rules (Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). In this case, we have an expression involving fractions, subtraction, and addition. Here is the expression from the image: \[ \frac{3}{4} - \frac{2}{8} + \frac{1}{2} \] To add or subtract fractions, we need a common denominator. The numbers 4, 8, and 2 all have a common multiple, which is 8. So we convert all fractions to have the denominator of 8. The first fraction already has a common denominator with the second: \[ \frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8} \] The second fraction is already over 8, so it remains: \[ \frac{2}{8} \] For the third fraction: \[ \frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8} \] Now we can rewrite the entire expression with a common denominator of 8: \[ \frac{6}{8} - \frac{2}{8} + \frac{4}{8} \] Perform the operations: \[ \frac{6 - 2 + 4}{8} = \frac{4 + 4}{8} = \frac{8}{8} \] And \(\frac{8}{8}\) simplifies to 1 since any number divided by itself is 1. Therefore, the solution to the given expression is 1.
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