Problem 15 Simplify. $-(-15)$... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 3: Problem 15

Simplify. $-(-15)$

Short Answer

Expert verified

Step by step solution

Identify the problem

The expression provided is $-(-15)$. The goal is to simplify this expression.

Understand the concept of double negatives

In mathematics, a double negative means that two negative signs cancel each other out. Essentially, $-(-a)$ is equal to $+a$.

Apply the double negative rule

By applying the rule of double negatives to our expression, $-(-15)$ becomes $+15$.

Simplify the expression

Therefore, simplifying the expression $-(-15)$ results in $+15$. The simplified form is just \15\ since the positive sign is usually implicit.

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Key Concepts

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

Simplifying Expressions

When simplifying expressions in mathematics, the goal is to reduce them to their simplest form. This often involves:
- Combining like terms.
- Applying arithmetic operations accurately.
- Using mathematical rules effectively.

This process not only makes the expressions easier to understand but also ensures accuracy in further calculations. For instance, in the expression o(-(-15))o, we apply the double negative rule, leading to a simplified result of +15. Being proficient in simplifying expressions is essential for solving complex mathematical problems efficiently.

Negative Numbers

Negative numbers can seem tricky at first, but understanding them is crucial for mastering math. Here are a few key points:
- A negative number is any number less than zero, represented with a minus sign (-).
- When you multiply or divide two negative numbers, the result is always positive. For example, (-2) * (-3) = 6.
- Adding a negative number is the same as subtracting its positive counterpart. For instance, 10 + (-3) is the same as 10 - 3.

Being comfortable with negative numbers will help you avoid mistakes in calculations and understand deeper mathematical concepts.

Mathematical Rules

Mathematical rules are foundational in solving expressions and equations accurately:
- The order of operations (PEMDAS/BODMAS): Always follow Parentheses, Exponents, Multiplication and Division (left to right), Addition, and Subtraction (left to right).
- The rule of double negatives: In mathematics, two negatives make a positive. Thus, o(-(-a))o = +a.
- Distributive property: a(b + c) = ab + ac.

Knowing and applying these rules correctly ensures that you handle even complex problems with ease and precision.

By mastering these foundational concepts, you'll build a solid mathematical foundation that will be beneficial not only for this exercise but for many others.

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91影视

Simplify. \(-(-15)\)

Short Answer

Step by step solution

Identify the problem

Understand the concept of double negatives

Apply the double negative rule

Simplify the expression

Key Concepts

Simplifying Expressions

Negative Numbers

Mathematical Rules

One App. One Place for Learning.

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