Problem 68 Find each difference. $$ -4.... [FREE SOLUTION]

Chapter 1: Problem 68

Find each difference. $$ -4.4-8.6 $$

Short Answer

Expert verified

-13

Step by step solution

Understand the Problem

The given expression requires subtracting 8.6 from -4.4. Remember that subtracting a positive number from a negative number results in a more negative number.

Rewrite the Expression

Rewrite the subtraction as the addition of a negative: \[ -4.4 - 8.6 = -4.4 + (-8.6) \]

Combine the Numbers

Add the two negative numbers together. \[ -4.4 + (-8.6) = -13 \]

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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 less than zero. They are located to the left of zero on the number line. When dealing with negative numbers, remember a few key points:

They are marked with a minus sign (-).
If you owe someone $5, you can think of this as having -5 dollars.
In mathematical operations, negative numbers have specific rules that differ from positive numbers.

Understanding negative numbers is crucial because they appear frequently in real-life situations, such as temperatures below zero or debts. In the example from our exercise, both numbers -4.4 and -8.6 are negative. By familiarizing yourself with how they behave in operations, you'll gain confidence in solving similar problems.

Subtraction

Subtraction is the process of finding the difference between two numbers. It essentially answers the question, 'How much more or less is one number compared to another?' Here are some important points about subtraction:

Subtracting a number is the same as adding its negative counterpart.
In our example, rather than seeing it as -4.4 minus 8.6, we can reframe it as -4.4 plus (-8.6).
This reframing uses the idea that subtraction can be seen as adding a negative number.

Understanding subtraction in terms of negative numbers simplifies complex problems. By rewriting subtraction as the addition of a negative, we make it easier to combine the values and solve the problem accurately.

Addition of Negatives

Adding negative numbers might seem tricky at first, but with practice, it becomes simple. When you add two negative numbers, you end up with a more negative result. Here's how it works:

Consider an example: -3 + (-2). You move three steps left of zero and then two more steps left.
This gives you: -3 + (-2) = -5.
In our exercise, -4.4 + (-8.6) combines to give -13. You are essentially adding the distances each number is from zero and keeping the negative sign.

To summarize, adding negatives means increasing the 'negativity' of the number. Practice with different examples to get comfortable with this concept. Knowing this will help you tackle more challenging math problems confidently.

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91影视

Find each difference. $$ -4.4-8.6 $$

Short Answer

Step by step solution

Understand the Problem

Rewrite the Expression

Combine the Numbers

Key Concepts

Negative Numbers

Subtraction

Addition of Negatives

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