Math Problem Statement

2+12/3x4

Solution

To solve the expression 2+123×42 + \frac{12}{3} \times 4, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

  1. Division first: 123=4\frac{12}{3} = 4

  2. Multiplication next: 4×4=164 \times 4 = 16

  3. Addition last: 2+16=182 + 16 = 18

Thus, the value of the expression is 18\boxed{18}.

Do you want more details or have any questions?

Here are 5 related questions:

  1. How would the expression change if parentheses were added?
  2. What happens if you change division to subtraction in the expression?
  3. How does the order of operations affect the result if you reverse it?
  4. How would adding an exponent to one of the numbers alter the result?
  5. Can you create a similar expression with all four operations?

Tip: Always remember to perform multiplication and division before addition and subtraction in expressions without parentheses.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Arithmetic

Formulas

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

Theorems

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Suitable Grade Level

Grades 5-7