Problem 48 $-6(5 v)$... [FREE SOLUTION]

91影视

Elementary Algebra

Laura Bracken, Ed Miller

$Math Studyset 91影视 Explanations$ Math

1 Edition

Chapter 1: Problem 48

$-6(5 v)$

Short Answer

Expert verified

-30v

Step by step solution

Understand the Expression

The given expression is $-6(5v)$. This is a multiplication problem where you need to multiply $-6$ and $5v$.

Multiply the Constants

First, multiply the numerical coefficients (constants) $-6$ and $5$. To do this, multiply $-6 \times 5$.

Calculate the Product

Calculate $-6 \times 5 = -30$. So, the product of the constants is $-30$.

Include the Variable

Attach the variable $v$ to the product you obtained in the previous step. Thus, the solution is $-30v$.

Final Answer

The simplified form of the expression $-6(5v)$ is \-30v\.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

multiplication of constants

When multiplying expressions, you often start with the numerical parts, called 'constants.'
These are the actual numbers without any variables.
For example, in $-6(5v)$, $-6$ and $5$ are constants.
When multiplying constants, follow the standard multiplication rules you learned in primary school.
Here, $-6 \times 5 = -30$.
Remember, multiplying a negative number by a positive number always gives a negative result.
So always pay attention to the signs of the numbers you are multiplying.

working with variables

Variables are symbols (like $v$) that represent numbers in algebraic expressions.
They are used to denote unknown values or quantities that can change.
When multiplying constants and variables, always start with the constants.
In the expression $-6(5v)$, you first multiply the constants $-6$ and $5$.
Then, attach the variable to the product of these constants.
So, $-30 \times v$ becomes $-30v$.
This means you scaled the variable $v$ by the product of the constants.

simplifying expressions

Simplifying expressions means combining and reducing them to their most basic form.
This typically involves:

Multiplying constants
Attaching variables

Start by simplifying any constants you need to multiply.
Then, ensure all like terms are combined.
In our example $-6(5v)$, you first multiply $-6 \times 5 = -30$.
Then, you attach the variable $v$, leading to $-30v$.
That is the simplified form of the original expression.
Always double-check your work to make sure all steps are followed and to avoid mistakes.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

\(-6(5 v)\)

Short Answer

Step by step solution

Understand the Expression

Multiply the Constants

Calculate the Product

Include the Variable

Final Answer

Key Concepts

multiplication of constants

working with variables

simplifying expressions

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Decision Maths

Pure Maths

Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.