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Chapter 10: Problem 61

Evaluate \(-(-x)\) when: $$ x=-43 . $$

Short Answer

Expert verified
43

Step by step solution

01

Identify the given value

We are given the value of x as ewline x = -43.
02

Apply the negative sign

Substitute the value of x into the expression x = -(-x). This gives us: ewline -(-(-43) ) .
03

Simplify the expression

We know that --x = x . Apply this identiy ewline -(-(-43)) = 43.

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Key Concepts

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

Negative Numbers
Negative numbers can seem a bit tricky at first, but they follow simple rules. A negative number is any number less than zero and is usually denoted with a minus sign (-). For example, -5 is a negative number. When you multiply two negative numbers, the result is a positive number.
To remember this rule, think of it as taking away a negative, which turns it into a positive.
This concept also applies when we have multiple negative signs together. For instance, -(-43).
This will simplify to 43.
Substitution
Substitution in mathematics means replacing a variable with its given value.
Let's take our example where x = -43. To evaluate the expression -(-x), we first need to substitute x with -43.
So the expression becomes -(-(-43)). It鈥檚 like putting the value in place of the variable.
This is an important step because it allows us to deal with numbers instead of letters, making the problem easier to solve.
Simplifying Expressions
Simplifying expressions involves reducing them to their simplest form.
In our example -(-(-43)), we start by taking care of the innermost negative sign. --43 simplifies to 43 as two negatives cancel each other out.
So, the entire expression becomes positive 43.
Remember these steps:
  • Handle the innermost expression first.
  • Apply the rules of negative numbers.
  • Simplify until you have the simplest form.
By following these steps, you make complicated expressions much easier to understand.

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Most popular questions from this chapter

Multiply. \(-\frac{2}{3} \cdot \frac{1}{2} \cdot\left(-\frac{6}{7}\right)\)

Simplify. $$ 8[(6-13)-11] $$

Simplify. $$ 4 \cdot 5-2 \cdot 6+4 $$

Simplify. $$ \frac{5^{2}-4^{3}-3}{9^{2}-2^{2}-1^{5}} $$

Multiply. \(4 \cdot(-4) \cdot(-5) \cdot(-12)\)
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