Are you a math whiz? Here’s a mental challenge just for you! The expression 3×3-3÷3+3 seems simple but contains layers of operations that make it trickier than it appears. Before solving, let's break down how to approach it using the order of operations, or PEMDAS/BODMAS, to ensure we’re accurate.
Step-by-Step Solution:
- Parentheses and Exponents: While there are no parentheses or exponents in this equation, it’s important to remember this step for more complex expressions.
- Multiplication and Division: Perform these from left to right.
- Calculate 3 × 3 first, which equals 9.
- Next, divide 3 ÷ 3, which equals 1.
- Addition and Subtraction: After multiplication and division, work from left to right for addition and subtraction.
- Substitute the calculated values back into the expression, giving us 9 - 1 + 3.
- Now, calculate 9 - 1 to get 8.
- Finally, add 3 to reach the solution of 11.
So, the answer to 3×3-3÷3+3 is 11.
Why is This Problem Tricky?
This equation requires a precise understanding of the order of operations. Missteps often happen when people overlook division and multiplication’s precedence over addition and subtraction. Testing your skills on problems like this strengthens your problem-solving ability, and who doesn’t love a good brain workout?
Related Brain Teasers
Want more challenges? Try these similar math expressions:
- 6÷2(1+2) - Another deceptively simple equation.
- 8+2×(3-5) - An expression that requires careful attention to parentheses.
These puzzles can be great for exercising your logical thinking skills. Happy solving, genius!
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