Problem 220 Simplify. $$ -6-(-4) $$... [FREE SOLUTION]

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Chapter 1: Problem 220

Simplify. $$ -6-(-4) $$

Short Answer

Expert verified

-2

Step by step solution

Identify the operation

The expression given is $-6 - (-4)$. Notice the subtraction of a negative number.

Convert subtraction of a negative to addition

Subtracting a negative number is the same as adding its positive counterpart. So, $-6 - (-4)$ becomes $-6 + 4$.

Perform the addition

Now add $-6$ and \4\. This results in $-2$ because $-6 + 4 = -2$.

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Key Concepts

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

Subtracting Negatives

When you subtract a negative number, it's like adding a positive number. This may sound confusing at first, but there's a simple rule: whenever you see two minus signs together, change them to a plus sign. For example, if you have an expression like $-6 - (-4)$, turn it into $-6 + 4$.

Think of it this way: removing a debt (negative) is the same as gaining money (positive). So, turning $- -$ into $+$ helps simplify the problem. Next time you see subtraction of a negative, just remember: switch to addition!

Addition of Integers

Adding integers is straightforward, especially when they have different signs. When you add a negative and a positive integer, you're essentially finding the difference between the numbers. Take the absolute values, subtract the smaller one from the larger one, and keep the sign of the larger number.

Consider our example: $-6 + 4$.

The absolute values are 6 and 4.
6 is larger, so we subtract 4 from 6, which gives us 2.
Since 6 is negative, our result will also be negative, giving us $-2$.

Simplifying Expressions

Simplifying expressions means making them as simple as possible. This often involves combining like terms or performing arithmetic operations. In our exercise, we simplified $-6 - (-4)$ by converting it to an addition problem, $-6 + 4$.

Next, we performed the addition to get our final answer, $-2$. Simplifying helps make complex problems easier to understand and solve. Always look for ways to combine or reduce parts of an expression!

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91影视

Simplify. $$ -6-(-4) $$

Short Answer

Step by step solution

Identify the operation

Convert subtraction of a negative to addition

Perform the addition

Key Concepts

Subtracting Negatives

Addition of Integers

Simplifying Expressions

One App. One Place for Learning.

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