Math Problem Statement

5 + (5 - 1) × 2 and 5 × (2 + 2)

Solution

From the uploaded image, the equations appear to be:

  1. 5+(51)×25 + (5 - 1) \times 2
  2. 5×(2+2)5 \times (2 + 2)

Let's solve each expression, following the order of operations (PEMDAS/BODMAS).

Solving the first equation: 5+(51)×25 + (5 - 1) \times 2

  1. Calculate inside the parentheses: 51=45 - 1 = 4.
  2. Multiply the result by 2: 4×2=84 \times 2 = 8.
  3. Add 5: 5+8=135 + 8 = 13.

So, the solution to the first equation is 1313.

Solving the second equation: 5×(2+2)5 \times (2 + 2)

  1. Calculate inside the parentheses: 2+2=42 + 2 = 4.
  2. Multiply 5 by 4: 5×4=205 \times 4 = 20.

So, the solution to the second equation is 2020.

Final Answers:

  • 5+(51)×2=135 + (5 - 1) \times 2 = 13
  • 5×(2+2)=205 \times (2 + 2) = 20

Would you like further details or have any other questions?

Here are 5 related questions:

  1. What is the order of operations and why is it important?
  2. How do parentheses affect calculations in arithmetic expressions?
  3. What is the difference between addition and multiplication in terms of order of operations?
  4. Can you simplify expressions with multiple sets of parentheses?
  5. How would changing the parentheses placement in these equations affect the result?

Tip: Always solve the parts inside parentheses first before applying multiplication or addition, as it can change the outcome.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Arithmetic

Formulas

PEMDAS/BODMAS Rule

Theorems

Order of Operations

Suitable Grade Level

Grade 6-8