Math Problem Statement

Solve the equation by taking common 2+2×7

Solution

To solve the expression 2+2×72 + 2 \times 7, we need to follow the order of operations, commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

  1. Multiplication comes before addition. So, calculate 2×72 \times 7 first: 2×7=142 \times 7 = 14

  2. Then, add the result to 2: 2+14=162 + 14 = 16

So, the result is 1616.

Would you like more details, or do you have any questions?

Here are some related questions:

  1. How does the order of operations affect the result?
  2. What if there were parentheses in the expression?
  3. How do you handle expressions with more complex operations?
  4. What happens if addition and subtraction are combined with multiplication and division?
  5. Can you explain how the order of operations works in an expression with exponents?

Tip: Always perform multiplication and division before addition and subtraction unless parentheses dictate otherwise.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations (PEMDAS)

Formulas

Multiplication: a × b
Addition: a + b

Theorems

Order of Operations (PEMDAS)

Suitable Grade Level

Grades 5-6