Problem 126 Perform each indicated operation... [FREE SOLUTION]

Chapter 2: Problem 126

Perform each indicated operation. See Section 1.7. $$ 12 \div(4-2)+7 $$

Short Answer

Expert verified

The result of the expression is 13.

Step by step solution

Simplify Inside the Parentheses

First, simplify the expression inside the parentheses. Since we have $4 - 2$, subtract 2 from 4 to get 2. Now the expression becomes $12 \div (2) + 7$.

Perform Division

Next, perform the division operation $12 \div 2$. Divide 12 by 2 to get 6. The expression simplifies to $6 + 7$.

Perform Addition

Finally, add 7 to the result obtained from the division. So, $6 + 7 = 13$.

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.

Order of Operations

In mathematics, calculations are performed in a specific order to ensure accuracy. This sequence is known as the "order of operations." Follow it closely to solve expressions step by step without mistakes.

First, tackle any operations inside parentheses. Simplify the inner expressions to make calculations easier.
Second, perform any exponents. Although our current exercise doesn鈥檛 involve these, they are important to consider.
Next, perform multiplication and division from left to right. Both of these operations take precedence over addition and subtraction.
Lastly, handle addition and subtraction, also from left to right.

Using this order ensures that everyone, regardless of where they are in the world, will get the same result when solving mathematical problems.

Division

Division is a fundamental mathematical operation that involves splitting a number into equal parts. In our exercise, the division step was crucial. To divide numbers correctly:

Identify the divisor and the dividend. In our case, 12 is the dividend and 2 is the divisor.
Determine how many times the divisor fits into the dividend fully. For 12 divided by 2, the divisor fits exactly 6 times.
This result gives you the quotient; here, it is 6.

Practicing division helps in understanding how quantities can be broken down and analyzed by dividing them into smaller, more manageable parts.

Addition

Addition is one of the simplest mathematical operations. It's about combining numbers to get a new total. At the final step of this exercise, we used addition to find our final answer. To add numbers:

Align the numbers you wish to add, paying attention to place value when dealing with multiple digits.
Start adding from the rightmost digit if you have multiple digits, working your way to the left.
Keep track of any carryovers if digits add up to more than 9.

In our example, we had reached 6 after the division, and we needed to add 7 to it. So, 6 plus 7 equals 13, giving us the solution to our expression.

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

Perform each indicated operation. See Section 1.7. $$ 12 \div(4-2)+7 $$

Short Answer

Step by step solution

Simplify Inside the Parentheses

Perform Division

Perform Addition

Key Concepts

Order of Operations

Division

Addition

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Logic and Functions

Geometry

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.