Solve Step-by-Step: 50 - 6 × 3 ÷ 2 Using Order of Operations

Order of Operations with Mixed Arithmetic

What is the result of the following equation?

506×3÷2 50 - 6 \times 3 \div 2

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1

Understand the problem

What is the result of the following equation?

506×3÷2 50 - 6 \times 3 \div 2

2

Step-by-step solution

To solve the equation, follow the order of operations (PEMDAS/BODMAS):

1. Perform the multiplication and division from left to right:

6×3=18 6 \times 3 = 18

18÷2=9 18 \div 2 = 9

2. Subtract the result from 50:

509=41 50 - 9 = 41

Therefore, the correct answer is 41.

3

Final Answer

41

Key Points to Remember

Essential concepts to master this topic
  • Rule: Follow PEMDAS/BODMAS - multiplication and division before subtraction
  • Technique: Calculate 6 × 3 = 18, then 18 ÷ 2 = 9
  • Check: Substitute back: 50 - 9 = 41 matches our answer ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without following order of operations
    Don't solve 50 - 6 × 3 ÷ 2 as (50 - 6) × 3 ÷ 2 = 66! This ignores the order of operations and gives a completely wrong result. Always do multiplication and division first, then subtraction.

Practice Quiz

Test your knowledge with interactive questions

What is the result of the following equation?

\( 36-4\div2 \)

FAQ

Everything you need to know about this question

Why can't I just solve from left to right like reading?

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Math has a special order of operations (PEMDAS/BODMAS) that must be followed! Without it, 2+3×4 2 + 3 \times 4 could equal 20 or 14 - we need rules to get one correct answer.

What does PEMDAS stand for again?

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Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Some people remember it as "Please Excuse My Dear Aunt Sally"!

Do I do multiplication before division?

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No! Multiplication and division have equal priority. Work from left to right when you see them together. In 6×3÷2 6 \times 3 \div 2 , do the multiplication first because it comes first from left to right.

How can I double-check my work?

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Break it into steps: 506×3÷2 50 - 6 \times 3 \div 2 becomes 5018÷2 50 - 18 \div 2 , then 509 50 - 9 , finally 41 41 . Each step should make sense!

What if I get a different answer than the choices?

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Go back and check each step carefully. Most errors happen by ignoring the order of operations or making simple arithmetic mistakes. Take your time with each calculation!

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