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Determine which step you would do first in the following problem:
32 ÷ 4 + (3 × 7) × 18 + 5
32 ÷ 4 + (3 × 7) × 18 + 5
- a)18 + 5
- b)4 + 3
- c)(3 × 7)
- d)32 ÷ 4
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Determine which step you would do firstinthefollowingproblem:32 &divid...
Understanding the Problem
To solve the expression 32 ÷ 4 + (3 × 7) × 18 + 5, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Identifying the First Step
Among the options provided, we need to determine which operation should be executed first:
- a) 18 + 5
- b) 4 + 3
- c) (3 × 7)
- d) 32 ÷ 4
Why Option C is Correct
- Parentheses First: According to the order of operations, any calculations inside parentheses should be prioritized.
- Option C (3 × 7): This operation is within parentheses and must be completed before any other operations.
Breaking Down Other Options
- Option A (18 + 5): This addition occurs after the multiplication and should only be done after resolving the parentheses and other operations.
- Option B (4 + 3): This addition is not part of the expression and is irrelevant in determining the first calculation.
- Option D (32 ÷ 4): Although division is important, it comes after resolving operations within parentheses.
Conclusion
Therefore, the correct first step is to calculate (3 × 7), as it is crucial to follow the order of operations correctly. By doing this, we lay the groundwork for solving the entire expression accurately.
To solve the expression 32 ÷ 4 + (3 × 7) × 18 + 5, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Identifying the First Step
Among the options provided, we need to determine which operation should be executed first:
- a) 18 + 5
- b) 4 + 3
- c) (3 × 7)
- d) 32 ÷ 4
Why Option C is Correct
- Parentheses First: According to the order of operations, any calculations inside parentheses should be prioritized.
- Option C (3 × 7): This operation is within parentheses and must be completed before any other operations.
Breaking Down Other Options
- Option A (18 + 5): This addition occurs after the multiplication and should only be done after resolving the parentheses and other operations.
- Option B (4 + 3): This addition is not part of the expression and is irrelevant in determining the first calculation.
- Option D (32 ÷ 4): Although division is important, it comes after resolving operations within parentheses.
Conclusion
Therefore, the correct first step is to calculate (3 × 7), as it is crucial to follow the order of operations correctly. By doing this, we lay the groundwork for solving the entire expression accurately.
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Determine which step you would do firstinthefollowingproblem:32 ÷ 4 + (3 × 7) × 18 + 5a)18 + 5b)4 + 3c)(3 × 7)d)32 ÷ 4Correct answer is option 'C'. Can you explain this answer?
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