If 1/3 amounts to 33.33%, then 3/3 is 99.99% and not an entire whole?

  • Context: High School 
  • Thread starter Thread starter ElliotSmith
  • Start date Start date
Click For Summary
SUMMARY

The discussion centers on the misconception that 1/3 equals 33% and that 3/3 amounts to 99.99% instead of 100%. Participants clarify that 1/3 is actually 33.333...%, an infinite decimal, which means that 3/3 is indeed 100%. The thread concludes with a definitive correction of the initial claim, emphasizing the importance of understanding repeating decimals in mathematics.

PREREQUISITES
  • Understanding of fractions and their decimal representations
  • Knowledge of infinite series and limits in mathematics
  • Familiarity with the concept of repeating decimals
  • Basic arithmetic operations and their properties
NEXT STEPS
  • Research the properties of repeating decimals in mathematics
  • Learn about infinite series and their convergence
  • Explore the concept of limits and how they apply to fractions
  • Study the mathematical proof that 0.999... equals 1
USEFUL FOR

Students, educators, and anyone interested in clarifying mathematical concepts related to fractions, decimals, and their implications in arithmetic.

ElliotSmith
Messages
167
Reaction score
104
TL;DR
How can 3/3 be 100%?
If 1/3 amounts to 33%, then 3/3 would be 99.99% and not a 100% whole.

Correct me if I'm wrong.
 
Mathematics news on Phys.org
ElliotSmith said:
Summary: How can 3/3 be 100%?

If 1/3 amounts to 33%, then 3/3 would be 99.99% and not a 100% whole.

Correct me if I'm wrong.
You are wrong. 1/3 is NOT 33% it is 33.33333333333333333333333...% and there is no end to the stream of threes.
 
Watch this:
 
  • Like
  • Informative
Likes   Reactions: Asymptotic and jedishrfu
ElliotSmith said:
Summary: How can 3/3 be 100%?

If 1/3 amounts to 33%, then 3/3 would be 99.99% and not a 100% whole.

Correct me if I'm wrong.
Yes, you are wrong, as has already been shown. Since the question has been asked and answered, I am closing this thread.
 

Similar threads

High School Fractional/decimal powers
  • · Replies 10 ·
Replies
10
Views
2K
MHB Evaluate 3/7 r + 5/8 s when r = 14 and s = 8
  • · Replies 3 ·
Replies
3
Views
4K
MHB Divisibility of (1!+2!+3!+...+100!)^2 by 5
  • · Replies 1 ·
Replies
1
Views
1K
High School Understanding Ratio Basics to Splitting Costs with a 3:1 Ratio
  • · Replies 2 ·
Replies
2
Views
2K
High School Question about PEMDAS/BODMAS ambiguity
  • · Replies 77 ·
3
Replies
77
Views
7K
High School A symmetric problem has an asymmetric solution - why?
  • · Replies 21 ·
Replies
21
Views
2K
High School Example on pg. 23 of Mathematics for the Million
  • · Replies 17 ·
Replies
17
Views
2K
High School Validating Darts Tournament Skill Levels: A Non-Intrusive Approach
  • · Replies 4 ·
Replies
4
Views
2K
High School Can an Object with N Dimensions Exist in N-1 Dimensions?
  • · Replies 2 ·
Replies
2
Views
2K
High School Weird stuff on infinite numerical sequences in a Soviet book
  • · Replies 5 ·
Replies
5
Views
1K