Problem 119 In the following exercises, simp... [FREE SOLUTION]

Chapter 1: Problem 119

In the following exercises, simplify using the order of operations. $$ 20 \div 4+6 \cdot 5 $$

Short Answer

Expert verified

Step by step solution

- Division First

According to the order of operations (PEMDAS/BODMAS), division and multiplication come before addition or subtraction. First, perform the division: \[20 \div 4 = 5\]

- Multiplication Next

Next, we handle the multiplication part of the problem:\[6 \cdot 5 = 30\]

- Addition

Now, add the results of the previous steps together: \[5 + 30 = 35\]

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Key Concepts

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

PEMDAS

When simplifying mathematical expressions, we follow the PEMDAS rule. This stands for: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). This order of operations helps ensure that everyone solves expressions the same way.

For example, in the problem $20 \div 4 + 6 \cdot 5$, we follow PEMDAS to simplify correctly. First, we handle any multiplication or division from left to right, before moving on to addition or subtraction.

Division

Division is one of the essential operations in PEMDAS. In the given expression, we first divide 20 by 4. This is because division and multiplication must be handled before addition or subtraction.

So, $20 \div 4\ = 5$. Now that we have completed the division, we can move on to the next operation.

Always remember to follow the left-to-right rule within division and multiplication.

Multiplication

Once we've finished division, we move on to multiplication. For the expression $20 \div 4 + 6 \cdot 5$, we now focus on the second part: $6 \cdot 5$.

Multiplying these results in $6 \cdot 5 = 30$.

At this step, it is important to handle all multiplications before proceeding to addition. This ensures consistency in how the expression is simplified.

Addition

Finally, after completing all division and multiplication, we perform the addition. From previous steps, we have the results 5 and 30.

Adding these together, we get $5 + 30 = 35$.

Completing the expression this way ensures we followed the PEMDAS rule correctly. Always double-check that you have addressed all parts of the expression in the proper order to avoid errors.

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91影视

In the following exercises, simplify using the order of operations. $$ 20 \div 4+6 \cdot 5 $$

Short Answer

Step by step solution

- Division First

- Multiplication Next

- Addition

Key Concepts

PEMDAS

Division

Multiplication

Addition

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