Is 7+7+7+7 Really Equal to 1? The Answer Will Surprise You!
Автор: Basic Math Study
Загружено: 2026-07-18
Просмотров: 51
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What is 7÷7÷7÷7?
The mathematical expression 7÷7÷7÷7 equals 1/7 (or approximately 0.143).
This problem tests your understanding of working left to right with division operations (PEMDAS/BODMAS).
Step-by-Step Solution
Understanding the Problem
When you see 7:7:7:7, you need to follow the correct order of operations:
Division operations - Work strictly LEFT to RIGHT
Key rule: Division is NOT associative - order matters!
Solving 7÷7÷7÷7
Step 1: Start from the left
First operation: 7 ÷ 7 = 1
Expression becomes: 1 ÷ 7 ÷ 7
Step 2: Continue left to right
Next operation: 1 ÷ 7 = 1/7 (or 0.143...)
Expression becomes: 1/7 ÷ 7
Step 3: Final division
1/7 ÷ 7 = 1/49 = 0.0204...
Answer: 1/49 (or 0.0204)
The correct answer to 7÷7÷7÷7 is 1/49 or approximately 0.0204.
Why This Problem Is Tricky
This equation tricks people because:
Chain division - Multiple divisions in a row confuse people
Left to right rule - You MUST work strictly from left to right
Common mistake - People think all 7s cancel out to get 1
Visual pattern - Looks like it should simplify easily but doesn't
Practice Problems Similar to 7÷7÷7÷7
Try these related math problems:
8÷8÷8÷8 = ?
10÷10÷10÷10 = ?
5÷5÷5÷5 = ?
Key Rules to Remember
Division Chain Rule:
Always work LEFT to RIGHT
Division is NOT commutative (order matters!)
Each result becomes the dividend for the next operation
Why 7÷7÷7÷7 ≠ 1:
It's NOT (7÷7)÷(7÷7) = 1÷1 = 1
It IS ((7÷7)÷7)÷7 = 1/49
Why Learning This Matters
Understanding how to solve expressions like 7÷7÷7÷7 is crucial for:
Algebra and advanced mathematics
Understanding calculator behavior
Real-world calculations in engineering and science
Standardized tests (SAT, ACT, GRE)
FAQs About 7÷7÷7÷7
Q: What does the colon (:) mean in math?
A: The colon (:) represents division, same as ÷ or /
Q: Why isn't the answer 1?
A: Because you can't group them as (7÷7)÷(7÷7). You must work LEFT to RIGHT!
Q: Do all the 7s cancel out?
A: No! Division doesn't work that way. You have to divide step by step from left to right.
Q: What if I use a calculator?
A: A scientific calculator will give you 0.0204 (or 1/49) if it follows proper order of operations.
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Is 7÷7÷7÷7 Really Equal to 1? The Answer Will Surprise You!
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