Problem 54 Simplify. $$-300+(-24)$$... [FREE SOLUTION]

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Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

1 Edition

Chapter 2: Problem 54

Simplify. $$-300+(-24)$$

Short Answer

Expert verified

-324

Step by step solution

- Write down the expression

Start by writing the given expression: $-300 + (-24)$

- Combine the numbers

When you add a negative number, it is the same as subtracting the absolute value of that number. So, $-300 + (-24)$ is the same as $-300 - 24$.

- Calculate the result

Subtract 24 from -300: $-300 - 24 = -324$

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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 those that are less than zero. They are represented with a minus sign (-) in front. For example, -3, -50, and -300 are all negative numbers. They are located to the left of zero on a number line. Negative numbers are often used to represent loss, debt, or temperatures below freezing. Understanding how to work with negative numbers is essential for many math problems.

When two negative numbers are added, the result is more negative.
The absolute value of a negative number is the number without its minus sign. For example, the absolute value of -24 is 24.

addition

Addition is one of the basic operations in arithmetic. It combines two or more numbers to produce a sum. When working with addition of negative numbers, there are a few key points to remember:

Adding a negative number is the same as subtracting the absolute value of that number. For example, $ -300 + (-24) $ can be rewritten as $ -300 - 24 $.
The sum of two negative numbers will always be a more negative number because you are adding the negatives together.

In our example, we had the expression $ -300 + (-24) $. We rewrote it as $ -300 - 24 $ and simplified it to get the result $ -324 $.

subtraction

Subtraction is another basic arithmetic operation where we find the difference between two numbers. When dealing with subtraction involving negative numbers, keep these points in mind:

Subtracting a negative number is the same as adding its absolute value. For example, $ 5 - (-3) $ is the same as $ 5 + 3 $.
When subtracting a positive number from a negative number, the result becomes more negative. For example, $ -300 - 24 $ equals $ -324 $.

In our problem, we subtracted 24 from -300.
This reinforces the concept that when working with negative numbers, it鈥檚 important to pay attention to the signs and remember these simple rules.

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91影视

Simplify. $$-300+(-24)$$

Short Answer

Step by step solution

- Write down the expression

- Combine the numbers

- Calculate the result

Key Concepts

negative numbers

addition

subtraction

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