Problem 132 Perform the indicated operations... [FREE SOLUTION]

Chapter 2: Problem 132

Perform the indicated operations. $$ -16-(-2) $$

Short Answer

Expert verified

The result is -14.

Step by step solution

Understanding the Problem

We are given the expression \[-16 - (-2)\]This implies that we need to subtract a negative number from a negative number.

Identifying the Operation

Subtracting a negative number is the same as adding the absolute value of that number. Hence, \[-16 - (-2) = -16 + 2\]

Perform the Addition

Now, add the numbers: \[-16 + 2 = -14\]

Conclusion

The result of the operation is \[-14\]

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Key Concepts

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

Negative Numbers

Negative numbers are numbers that are less than zero. They are usually used to represent a deficit or something below a defined baseline. For example, if the temperature is below freezing, we might say it's a negative number of degrees. In mathematical notation, negative numbers are written with a minus sign (鈭�) in front of them, such as 鈭�16. It's important to remember that the further away a negative number is from zero, the smaller it is. For instance, 鈭�16 is smaller than 鈭�2.

Addition and Subtraction of Integers

When performing operations with integers, especially those involving negative numbers, understanding the rules of addition and subtraction is crucial. Here's a simple breakdown:

Addition with Negative Numbers: When you add a negative number, it is the same as subtracting its positive counterpart. For example, 鈭�16 + (鈭�2) is the same as 鈭�16 鈭� 2.

Subtracting a Negative Number: This is often confusing but subtracting a negative number is like adding its positive equivalent. So, 鈭�16 鈭� (鈭�2) becomes 鈭�16 + 2.

The key is to adjust the signs appropriately when you encounter subtraction or addition. Negative signs can seem tricky, but with practice, they become easier to handle.

Absolute Value

The absolute value of a number is a measure of its distance from zero on a number line, regardless of direction. It is always a non-negative number. In notation, the absolute value of a number is written with vertical bars, like this: $|x|$.

The absolute value of both \-16\ and \16\ is \16\.

Understanding the absolute value is crucial when dealing with operations like subtraction involving negative numbers. It helps you convert subtraction of negatives into addition, simplifying many mathematical problems.

In this way, absolute value is a powerful tool for solving integer operations, making complex problems much more manageable.

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91影视

Perform the indicated operations. $$ -16-(-2) $$

Short Answer

Step by step solution

Understanding the Problem

Identifying the Operation

Perform the Addition

Conclusion

Key Concepts

Negative Numbers

Addition and Subtraction of Integers

Absolute Value

One App. One Place for Learning.

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