Question

Evaluate each expression. \((3+3)+2 \div 2\)

Short answer

7

Step-by-step solution

Solve the Parentheses

First, solve the expression inside the parentheses. (3+3) = 6

Division

Next, move to the division part of the equation. Evaluate 2 2 2 = 1

Addition

Finally, add the results from the previous steps. Add 6 (from step 1) and 1 (from step 2). 6+1 = 7

Key concepts

Parentheses

In mathematical expressions, parentheses are used to group parts of the expression that should be solved first. Always prioritize operations inside parentheses before moving to other parts of the equation. For example, in the expression \( (3+3) + 2 \div 2 \), we need to solve \( (3+3) \) first.

Here’s how you do it:

• Look for the innermost set of parentheses.
• Solve the operation inside the parentheses.

In this case, \( (3+3) = 6 \). Now, the expression is simplified to \( 6 + 2 \div 2 \).

Division

Division is one of the four basic operations in arithmetic. After solving the parentheses, we move on to division. In the expression \( 6 + 2 \div 2 \), we perform the division next.

Here’s how:

• Identify the numbers involved in the division.
• Perform the division operation.

In this case, it is \( 2 \div 2 = 1 \). Now, the expression is further simplified to \( 6 + 1 \).

Addition

Addition is another basic arithmetic operation. It combines numbers to get the total sum. After solving the division, the last step is to perform the addition. In the simplified expression \( 6 + 1 \), we add 6 and 1.

Here’s how:

• Identify the numbers to be added.
• Add them together.

The final result is \( 6 + 1 = 7 \).

By following the order of operations—first solving parentheses, then division, and finally addition—you can easily evaluate expressions like these.