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Chapter 2: Problem 61

Review operations with real numbers. Simplify. $$ -2+(-5)-7 $$

Short Answer

Expert verified
-14

Step by step solution

01

Identify the Numbers

First, identify all the numbers involved in the expression: The numbers are -2 , -5 , and -7.
02

Combine the Negative Numbers

Combine the numbers -2 and -5 : -2 + (-5) = -7.
03

Add the Result to the Remaining Number

Now add the remaining -7 to the previous result: -7 - 7 = -14.

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Key Concepts

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

simplifying expressions
To simplify expressions, we need to combine like terms and follow the mathematical operations properly. When we talk about simplifying, it often involves making an expression easier to understand or shorter. In our example, we start with the expression:
    -2 + (-5) - 7
If we look closely, we can see that we only have to handle addition and subtraction with negative numbers.
We simplify this in small steps to avoid mistakes.
negative numbers
Negative numbers can sometimes be tricky to work with, especially since they can make expressions look more complex.
A negative number is a number that is less than zero. Values like -2, -5, and -7 represent negative numbers.
When we add negative numbers, we essentially move further left on the number line. In the given example:
    -2 + (-5)
Adding these two negative numbers gives the result -7 because we are combining them together.
When subtracting a positive number from another negative number, like -7 - 7, think of it as adding two negative numbers. The result moves further left to -14.
addition
In math, addition is combining numbers to get a sum. However, with real numbers, especially negative ones, the addition can take a different form. In this problem:
    -2 + (-5) - 7
We first combine -2 and -5, resulting in -7. Then we add another -7, which means:
    -7 - 7
This is combining -7 and -7 to get -14. Even though it looks like subtraction, it's simply moving left on the number line twice.
Understanding how addition works with various numbers helps make our math journey smoother.

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