what is 5 5 divided by 1 2

Guri Bee

less than a minute read

·

20-10-2024

1

0

Share

Unraveling the Mystery: "5 5 Divided by 1 2"

The phrase "5 5 divided by 1 2" might seem like a simple math problem at first glance. However, it's actually a bit more complex than it appears. Let's break down why and explore the potential interpretations.

Interpretations and Solutions

1. "55 divided by 12"

• This is the most straightforward interpretation, assuming the "5 5" is meant to be a single number, 55.
• Solution: 55 / 12 = 4.58 (approximately)

2. "5 divided by 1, then multiplied by 2"

• This interpretation suggests a series of operations: 5 divided by 1, followed by multiplication by 2.
• Solution: (5 / 1) * 2 = 10

3. "5 divided by (1 multiplied by 2)"

• This interpretation prioritizes the multiplication within the parentheses.
• Solution: 5 / (1 * 2) = 2.5

Why the Ambiguity?

The lack of clarity arises from the way the problem is written. Without proper mathematical notation, it's difficult to determine the intended order of operations.

• Order of Operations (PEMDAS/BODMAS): To avoid ambiguity, mathematicians use the order of operations (PEMDAS/BODMAS) - Parentheses/ Brackets, Exponents/ Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

The Importance of Clear Notation

This example highlights the crucial role of clear mathematical notation. Always use parentheses, fractions, or other symbols to express the intended order of operations. This ensures that everyone understands the problem and reaches the correct solution.

Example:

• "55 / 12" is unambiguous.
• "5 / (1 x 2)" is also clear.

Conclusion

"5 5 divided by 1 2" is an example of how seemingly simple math problems can become tricky when presented in an ambiguous way. By understanding the order of operations and using clear notation, we can avoid confusion and ensure accurate results.