Problem 1 Explain, in your own words, how ... [FREE SOLUTION]

Chapter 1: Problem 1

Explain, in your own words, how to add two negative numbers.

Short Answer

Expert verified

To add two negative numbers, first, find the absolute values of the numbers, which represent their distance from zero on the number line without the negative signs (e.g., \(|(-3)| = 3\) and \(|(-5)| = 5\)). Then, add the absolute values together (e.g., \(3 + 5 = 8\)). Finally, attach a negative sign to the sum, since the result of adding two negative numbers is also negative (e.g., \(-8\)).

Step by step solution

Understanding Negative Numbers

Negative numbers are values less than zero, and they are expressed by a minus sign (-) in front of a number. On a number line, negative numbers appear to the left of zero, and their value increases as we move further away from zero.

Adding Negative Numbers on the Number Line

When adding negative numbers, we are essentially moving further to the left on the number line. In other words, we move from the first negative number towards the left by the absolute value of the second negative number.

Identify the Negative Numbers

Let's say we are given two negative numbers to add, -A and -B. For example, -3 and -5.

Determine the Absolute Values of the Negative Numbers

The absolute value of a number is the distance between that number and zero on the number line, without considering the sign. We can find the absolute value of a number using the vertical bars. For our example, \(|(-3)| = 3\) and \(|(-5)| = 5\).

Combine the Absolute Values of the Negative Numbers

Now, add the absolute values of the numbers together. In our example, the sum is: \(3 + 5 = 8\).

Add the Negative Sign

Since we are adding two negative numbers, the result is also a negative number. Thus, we should attach a negative sign to the sum of the absolute values from step 3. In our example, the result is \(-8\).

Conclusion

To add two negative numbers, first, we find the absolute values of the negative numbers, then combine the absolute values, and finally attach a negative sign to the sum. In our example, adding -3 and -5 results in -8.

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91影视

Explain, in your own words, how to add two negative numbers.

Short Answer

Step by step solution

Understanding Negative Numbers

Adding Negative Numbers on the Number Line

Identify the Negative Numbers

Determine the Absolute Values of the Negative Numbers

Combine the Absolute Values of the Negative Numbers

Add the Negative Sign

Conclusion

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