Problem 29 - Algebra 1: Concepts and Skills

Question

Evaluate the expression. $$ 6 \div 3+2 \cdot 7 $$

Step-by-Step Solution

Answer

The result is 16.

Step 1: Division

First, perform the division operation \(6 \div 3\) which equals 2.

Step 2: Multiplication

Then, carry out the multiplication operation \(2 \cdot 7\) which equals 14.

Step 3: Addition

Lastly, perform the addition of the results from step 1 and step 2: \(2 + 14\) which equals 16.

Key Concepts

Understanding Arithmetic Operations

Arithmetic operations are the fundamental building blocks of mathematics. They consist of basic calculations that allow us to solve more complicated problems.
They include addition, subtraction, multiplication, and division. When you solve math problems, you must sometimes perform these operations in a specific order.
Arithmetic operations are often governed by rules like the order of operations (PEMDAS/BODMAS rules), where calculations inside parentheses are done first, followed by exponents, then multiplication and division, and finally addition and subtraction. This ensures accuracy and consistency in problem-solving.
Remember to always follow these steps to get the correct result.

The Role of Division

Division is an arithmetic operation that involves splitting a number into equal parts. It's the process of determining how many times a certain number can fit into another.
For example, in the expression given, we first perform the division of 6 by 3. This gives us 2, as 3 fits into 6 exactly 2 times.
When dealing with division in math expressions, it's crucial to pay attention to its placement relative to other operations.

• Always handle division before addition and subtraction unless parentheses specify otherwise.
• Be aware of division by zero as it is undefined.