Problem 45 Evaluate the expression. $$120 \... [FREE SOLUTION]

Chapter 6: Problem 45

Evaluate the expression. $$120 \times 3-2$$

Short Answer

Expert verified

The evaluated result of the expression $120 \times 3-2$ is $358$.

Step by step solution

Perform Multiplication

Start by performing the multiplication operation first, as per the order of operations. So, the resultant calculation would be $120 \times 3 = 360$.

Perform Subtraction

Next, subtract $2$ from the result of the multiplication, which was $360$. So, $360 - 2 = 358$.

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.

Arithmetic Operations

Arithmetic operations are basic mathematical processes that help us perform calculations. These operations are essential for solving various math problems and include:

Addition
Subtraction
Multiplication
Division

The order of operations is critical in ensuring that mathematical expressions are evaluated correctly. By following the standard order, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right), we ensure that our final result is accurate.
In our exercise, you can see how multiplication takes precedence over subtraction, which reflects the correct order of operations.

Multiplication and Subtraction

When dealing with multiplication and subtraction in a mathematical expression, it is important to adhere to the order of operations (commonly known as PEMDAS/BODMAS). This sequence tells us:

Perform multiplication before subtraction.
Handle operations from left to right for both multiplication and subtraction.

In our example expression, which is $120 \times 3 - 2$, the multiplication is resolved first:
- First, multiply $120$ by $3$ to get $360$.
Then we move on to subtraction:
- Subtract $2$ from $360$, resulting in $358$.
This structured approach helps to avoid the misunderstanding that often arises if operations are performed out of order.

Mathematical Expressions

Mathematical expressions are combinations of numbers, operations, and sometimes variables, all structured together to represent a particular value or set of values. They serve as a way to present formulas or calculations in a concise, organized manner.

Expressions can simply be one number, such as $5$, or they can be complex, involving multiple operations like $120 \times 3 - 2$.
The exact value of an expression can only be determined when all operations have been applied correctly.

The key is recognizing every component and following the arithmetic order meticulously. In our given mathematical expression, the multiplication step $120 \times 3$ is crucial before applying the subtraction $-2$, which gives a clear and accurate resolution. Understanding these concepts assists us in mathematically modeling real-life problems effectively.

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

Evaluate the expression. $$120 \times 3-2$$

Short Answer

Step by step solution

Perform Multiplication

Perform Subtraction

Key Concepts

Arithmetic Operations

Multiplication and Subtraction

Mathematical Expressions

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

Decision Maths

Theoretical and Mathematical Physics

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.