Problem 70 Simplify each expression. $$ ... [FREE SOLUTION]

Chapter 5: Problem 70

Simplify each expression. $$ \frac{0.222-2.13}{12} $$

Short Answer

Expert verified

The expression simplifies to $-0.159$.

Step by step solution

Subtract the Numerator

First, perform the subtraction in the numerator. Calculate $0.222 - 2.13$. Since $2.13$ is greater than $0.222$, the result will be negative. As such, $0.222 - 2.13 = -1.908$.

Divide the Result by the Denominator

Now, take the result from Step 1, $-1.908$, and divide it by the denominator, which is $12$. Thus, $-1.908 \div 12 = -0.159$.

Simplified Expression

The simplified value of the given expression $\frac{0.222 - 2.13}{12}$ is $-0.159$.

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.

Simplifying Expressions

Simplifying expressions is a key part of algebra, and it helps to make complex problems easier to handle. In this exercise, simplifying involves performing operations within the expression to reach a single, more manageable number.

First, look at each part of the expression. Here, we have a fraction where the numerator is a subtraction problem, and the denominator is a simple number.
The goal is to break down these operations, step by step, until you have completed the calculations.
Start by focusing on the operation inside the numerator, which in this case is subtraction.

Simplifying involves applying math operations correctly and in the proper sequence, such as handling the subtraction first, followed by division. It is important to follow these steps so that you can simplify any expression correctly.

Division

Division is one of the four basic arithmetic operations and is used to see how many times one number is contained within another. In this exercise, we divide the result of the subtraction by the number below the division line, which is referred to as the denominator.

Once you've simplified the numerator by performing any necessary operations, such as subtraction, the next step is division.
Take the result of your previous operation, for instance, the simplified numerator, and divide it by the denominator.

In this exercise, after subtracting to find (-1.908 divide this value by 12. Remember, because the result of subtraction is negative, division will maintain a negative sign. The outcome is -0.159 which means after applying the division, the expression is fully simplified.

Subtraction

Subtraction is an operation that represents the process of taking something away from a group or a number. In this exercise, subtraction occurs within the numerator of the fraction.

To subtract numbers, align the decimal points to ensure an accurate calculation.
Subtracting a larger number from a smaller one results in a negative number. So, calculate 0.222 - 2.13 carefully.
Understand that working with decimals will require attention to aligning the numbers correctly.

The result of the subtraction (-1.908) is crucial as it sets the stage for the next operation, which is division. By successfully handling the subtraction first, you lay a foundation for simplification through division, resulting in the final simplified value.

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

Simplify each expression. $$ \frac{0.222-2.13}{12} $$

Short Answer

Step by step solution

Subtract the Numerator

Divide the Result by the Denominator

Simplified Expression

Key Concepts

Simplifying Expressions

Division

Subtraction

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Theoretical and Mathematical Physics

Pure Maths

Geometry

Statistics

Calculus

Study anywhere. Anytime. Across all devices.