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Chapter 10: Problem 69

Simplify. $$ 9 \div(-3)+16 \div 8 $$

Short Answer

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Step by step solution

01

- Simplify each division operation separately

First, simplify the division operations individually. Calculate \( 9 \div (-3) \) and \( 16 \div 8 \).
02

- Calculate 9 divided by -3

Divide 9 by -3. \( 9 \div (-3) = -3 \).
03

- Calculate 16 divided by 8

Divide 16 by 8. \( 16 \div 8 = 2 \).
04

- Sum the results

Now add the results from Step 2 and Step 3 together: \( -3 + 2 = -1 \).

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Key Concepts

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

Understanding Basic Arithmetic
Basic arithmetic is the foundation of all mathematics. It includes operations such as addition, subtraction, multiplication, and division. Mastering these basic operations is essential for solving more complex math problems. In this exercise, we use addition and division.
Working with Division
Division is the process of splitting a number into equal parts. To divide numbers, you can break it down into smaller, more manageable steps.
For example, in the expression \(9 \div (-3) + 16 \div 8\), we start by dividing the numbers individually.
Here, we calculate \( 9 \div (-3) \). This means we are dividing 9 by -3, which simplifies to -3. Then, we find \( 16 \div 8 \), which simplifies to 2.
Understanding how to simplify each division step is crucial for solving the entire problem correctly.
The Role of Addition in Arithmetic
Addition is one of the primary arithmetic operations. It involves combining two or more numbers to find their total. After simplifying the division steps in this problem, we need to sum the results.
We have -3 from dividing \( 9 \div (-3) \) and 2 from dividing \( 16 \div 8 \).
The final step is to add these results: \( -3 + 2 = -1 \).
It is important to recognize the role of addition in combining the simplified results to reach the final answer.

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