Problem 118 In the following exercises, simp... [FREE SOLUTION]

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Chapter 1: Problem 118

In the following exercises, simplify using the order of operations. $$ (9+12) \div(3+4) $$

Short Answer

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Step by step solution

Simplify Inside the Parentheses

First, simplify the expressions inside the parentheses. Calculate $9 + 12$ and $3 + 4$.

Step 1.1: Simplifying First Set of Parentheses

$9 + 12 = 21$

Step 1.2: Simplifying Second Set of Parentheses

$3 + 4 = 7$

Perform the Division

Now use the results from the previous step. Divide $21$ by $7$. $21 \div 7 = 3$

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Key Concepts

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

Simplifying Expressions

Simplifying expressions is an essential math skill that makes complex problems easier to solve. When faced with a problem, the goal is to break it down into simpler parts and solve each part step by step.
In our example, $ (9+12) \div (3+4) $, we start by simplifying the expressions inside the parentheses. Simplifying helps us transform the original expression into a more workable form before we perform any operations like division.

Parentheses

Parentheses are used in math to indicate that the expressions inside them should be simplified first. They tell you which parts of the problem to focus on before moving to other operations.
In our given problem $ (9+12) \div (3+4) $, we have two sets of parentheses. We must first calculate the values within these parentheses:

$ 9 + 12 = 21 $
$ 3 + 4 = 7 $

By handling the expressions inside the parentheses first, we align with the order of operations, which guides us in solving math problems correctly.

Division

Division is one of the basic arithmetic operations and is handled after parentheses have been simplified. The rule is to perform division from left to right, following all operations inside the parentheses.
In our example, after simplifying the parentheses, we are left with $ 21 \div 7 $. The division step involves taking 21 and dividing it by 7, which gives us the final result of 3. Remember, by simplifying first and then performing the division, we ensure the calculations are accurate and straightforward.

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91影视

In the following exercises, simplify using the order of operations. $$ (9+12) \div(3+4) $$

Short Answer

Step by step solution

Simplify Inside the Parentheses

Step 1.1: Simplifying First Set of Parentheses

Step 1.2: Simplifying Second Set of Parentheses

Perform the Division

Key Concepts

Simplifying Expressions

Parentheses

Division

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