Problem 116 In the following exercises, simp... [FREE SOLUTION]

Chapter 1: Problem 116

In the following exercises, simplify using the order of operations. $$ 2 \cdot 36 / 6 $$

Short Answer

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Step by step solution

Identify the order of operations

According to the order of operations (PEMDAS/BODMAS), multiplication and division should be performed from left to right. In the expression, the operations are multiplication and division.

Perform the multiplication

First, multiply the numbers from left to right: $2 \times 36 = 72$. The expression now becomes 72 / 6.

Perform the division

Next, divide the result by 6: $72 / 6 = 12$.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

PEMDAS

The order of operations, often memorized by the acronym PEMDAS, stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This rule helps us solve mathematical expressions in a consistent and correct way. Without PEMDAS, solving the same problem could yield different results.

For instance, in the expression $2 \cdot 36 / 6$, we apply PEMDAS to decide that we need to perform multiplication and division from left to right, ensuring we follow the correct order. This makes sure that everyone solving the problem will get the same result.

Multiplication

Multiplication is one of the basic arithmetic operations. When we multiply numbers, we are essentially adding a number to itself a specific number of times. For example, $2 \times 36$ means adding 36 twice, which gives $36 + 36 = 72$.

In our exercise, the first step required multiplying 2 and 36. So, we performed the operation $2 \times 36$ which resulted in 72. Now the expression became simpler: $72 \/ 6$. This approach ensures that each part of the original problem is handled in the proper order.

Division

Division is another core arithmetic operation. It involves splitting a number into equal parts. For instance, $72 \div 6$ asks how many times 6 can fit into 72, which is 12.

After we completed the multiplication part of our original expression, $2 \cdot 36 = 72$, we moved onto division. We then divided 72 by 6, leading to the result, $72 \/ 6 = 12$. Following these steps correctly ensures an accurate answer.

The process of division ensures we distribute the total into equal parts and is key in the final step of many mathematical problems.

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91影视

In the following exercises, simplify using the order of operations. $$ 2 \cdot 36 / 6 $$

Short Answer

Step by step solution

Identify the order of operations

Perform the multiplication

Perform the division

Key Concepts

PEMDAS

Multiplication

Division

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