Problem 63 Find each difference. $$ -6-... [FREE SOLUTION]

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Chapter 1: Problem 63

Find each difference. $$ -6-(-2) $$

Short Answer

Expert verified

-6 - (-2) = -4

Step by step solution

Understand the Problem

The exercise asks to find the difference between -6 and -2. In mathematical terms, it is written as $-6 - (-2)$.

Rewrite the Expression

Subtracting a negative number is the same as adding its positive equivalent. Thus, $-6 - (-2)$ can be rewritten as $-6 + 2$.

Perform the Addition

Now, perform the simple addition: $-6 + 2 = -4$.

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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 represented with a minus sign (-) before the number. For example, -6 means 6 units less than zero.
When working with negative numbers, it's crucial to understand their properties:

Negatives are to the left of zero on the number line.
Subtracting a negative number is like adding a positive number.
Adding two negative numbers gives a larger negative number.

In our exercise, we start with -6, which is 6 units to the left of zero on the number line.

Addition

Addition involves combining two or more numbers to get a total sum. When dealing with negative numbers, some specific rules apply:

Adding a negative number is similar to subtracting its positive counterpart.
Subtracting a negative number is the same as adding its positive counterpart.

For example, in the expression $-6 - (-2)$, subtracting -2 is the same as adding 2. Thus, it becomes $-6 + 2 = -4$. Remember: Two negative signs make a positive when directly next to each other!

Mathematical Expressions

Mathematical expressions represent numbers and operations in a structured form. They help us understand and solve problems involving arithmetic operations. For example, the expression $-6 - (-2)$ includes a subtraction operation between negative numbers.
Breaking down expressions helps clarify their meaning. First, we recognize $- (-2)$ as adding 2. This turns our initial expression into a simpler form, $-6 + 2$, which is straightforward to solve. Always review the order of operations (PEMDAS):

Parentheses
Exponents
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)

This ensures correct handling of complex expressions.

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91影视

Find each difference. $$ -6-(-2) $$

Short Answer

Step by step solution

Understand the Problem

Rewrite the Expression

Perform the Addition

Key Concepts

Negative Numbers

Addition

Mathematical Expressions

One App. One Place for Learning.

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