Math Problem Statement

Perform the operations in the correct order. 14 plus 5 times left parenthesis 2 plus 6 right parenthesis

Solution

The given expression is:

14+5×(2+6)14 + 5 \times (2 + 6)

We need to follow the order of operations, which is commonly remembered by the acronym PEMDAS:

  1. Parentheses
  2. Exponents
  3. Multiplication and Division (from left to right)
  4. Addition and Subtraction (from left to right)

Step 1: Solve the parentheses first.

2+6=82 + 6 = 8

So, the expression becomes: 14+5×814 + 5 \times 8

Step 2: Perform the multiplication.

5×8=405 \times 8 = 40

Now the expression is: 14+4014 + 40

Step 3: Perform the addition.

14+40=5414 + 40 = 54

Thus, the result is: 54\boxed{54}

Do you want more details or have any questions?

Here are 5 related questions:

  1. What is the result of 10+4×(3+7)10 + 4 \times (3 + 7)?
  2. How do you handle expressions without parentheses in PEMDAS?
  3. What happens if there are multiple operations inside parentheses?
  4. Can you explain how to deal with exponents in the order of operations?
  5. How would you solve an expression with both division and multiplication?

Tip: Always handle parentheses first to avoid mistakes in complex expressions!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Order of Operations
Basic Arithmetic

Formulas

PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)

Theorems

-

Suitable Grade Level

Grades 5-7