Problem 21 Explain the process to add two n... [FREE SOLUTION]

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Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

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Chapter 2: Problem 21

Explain the process to add two numbers with the same sign.

Short Answer

Expert verified

Add the absolute values and keep the common sign.

Step by step solution

- Understand the Problem

The task is to add two numbers that have the same sign, meaning both numbers are either positive or both are negative.

- Identify the Numbers

Take the two numbers you need to add. For example, let's add 5 and 3, both positive.

- Add Absolute Values

Add the absolute values of the two numbers. For example, \[ 5 + 3 = 8 \]

- Attach the Appropriate Sign

Since both numbers are positive, the result will also be positive. Thus, the final result is 8. If both numbers were negative, you would sum their absolute values and then attach the negative sign.

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Key Concepts

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

Absolute Value

Absolute value is a mathematical concept that measures the distance of a number from zero on a number line.
This distance is always a positive number. For example, the absolute value of both -4 and 4 is 4 because they are both 4 units away from zero.
It is represented by two vertical bars surrounding the number, like this: \[|x|\].
When it comes to addition, focusing on the absolute values of numbers helps in breaking down the operation into simpler steps.

Positive Numbers

Positive numbers are those greater than zero.
They are represented without a sign or with a plus sign (+).
Examples include 1, 53, and 1000.
When adding positive numbers, the process is straightforward: simply sum the absolute values.
For example, adding 7 and 12 gives you \[ 7 + 12 = 19 \].
The result remains positive.

Negative Numbers

Negative numbers are less than zero and are represented with a minus sign (-).
Examples include -5, -78, and -100.
When adding negative numbers, you also sum their absolute values but keep the negative sign.
For instance, adding -6 and -9 involves first finding their absolute values (6 and 9), then summing them to get 15.
Since both numbers were negative, the result will be -15.

Addition Process

The addition process involves combining the corresponding values of two numbers.
When both numbers have the same sign, the steps are straightforward:

Step 1: Identify the two numbers you want to add.
Step 2: Calculate the absolute values of these numbers.
Step 3: Add these absolute values together.
Step 4: Attach the common sign to the result.

For example, adding -4 and -3:

Identify the numbers: -4 and -3.
Find the absolute values: 4 and 3.
Add them: \[ 4 + 3 = 7 \].
Attach the negative sign: -7.

The final result is -7.

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91影视

Explain the process to add two numbers with the same sign.

Short Answer

Step by step solution

- Understand the Problem

- Identify the Numbers

- Add Absolute Values

- Attach the Appropriate Sign

Key Concepts

Absolute Value

Positive Numbers

Negative Numbers

Addition Process

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