Problem 168 In the following exercises, simp... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 3: Problem 168

In the following exercises, simplify each expression. $$-15-(-6+4)-3$$

Short Answer

Expert verified

\rightarrow-3 -3 -3

Step by step solution

Simplify inside the parentheses

First, simplify the expression inside the parentheses: \begin{aligned}(-6 + 4)\rightarrow -2\rightarrow -2\rightarrow \rightarrow => -15-(-2)-3(-15-(-2)-3-15-..-25(+6)-5)5-*-)(-)(15____..-AIT-3-*\rightarrow (-15-3)1 $$

Address the negative sign

The expression now is: -15 - (-2) - 3.Note that subtracting a negative is the same as adding: (-2)(15) \rightarrow (...)......(-3)3 :-(..-2+.......)8)(7..1)33-...(-)\rightarrow.$$)

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Key Concepts

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

Negative Numbers

Understanding negative numbers is crucial in simplifying expressions. Negative numbers are those less than zero, often represented with a minus sign (-). For example, -6 is six units less than zero. When you add a negative number, it鈥檚 like subtracting a positive number. Similarly, subtracting a negative number is like adding a positive number. For instance, $-15 - (-2)$ becomes $-15 + 2$. This transformation is because subtracting a negative is equivalent to addition. Negative numbers can sometimes be tricky, but remember these simple rules to handle them easily.

Order of Operations

The order of operations is a rule used to clarify which procedures should be performed first in a given mathematical expression. The common acronym PEMDAS helps:

Parentheses
Exponents
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)

Following PEMDAS ensures accurate results. For instance, in simplifying $-15 - (-6 + 4) - 3$, start with the parentheses: $-6 + 4$, which equals $-2$. Then proceed with the remaining operations in order.

Parentheses in Math

Parentheses play a significant role in math by indicating which operations should be performed first. Always handle the expressions inside parentheses before anything else. In the given problem $-15 - (-6 + 4) - 3$, start by simplifying $-6 + 4$, which leads to $-2$. Hence, the expression transforms into $-15 - (-2) - 3$. This method helps in breaking complex problems into simpler parts, making it easier to handle and understand.

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91影视

In the following exercises, simplify each expression. $$-15-(-6+4)-3$$

Short Answer

Step by step solution

Simplify inside the parentheses

Address the negative sign

Key Concepts

Negative Numbers

Order of Operations

Parentheses in Math

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