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since there is an infinite amount of numbers in the interval between 0 and 1 and there is also an infinite amount of numbers in the interval between 0 and 10, the two intervals have the same number of numbers. so why is 10 bigger than 1?

2007-01-20 04:27:59 · 12 answers · asked by smokesha 3 in Science & Mathematics Mathematics

12 answers

You're looking into it too deeply. When numbers were invented, they were for the practical purpose of organizing things. 10 is bigger than 1 because it represents a greater value, and though there are an infinite number of values between 0 and 1 and 0 and 10, there are more options in between 0 and 10 becuase it simply deals with more whole numbers.

Good question!

2007-01-20 04:34:33 · answer #1 · answered by wildwildmars 1 · 1 4

The intervals between 0 and 1 represent fractions of a whole number. The intervals between 0 and 10 represent the fractions of 10 whole numbers. Where as there are an inifinte number of fractions, there can still be one number greater than the next.

Take this on for example. If I'm standing 10 feet away from you, and I decrease our distance by half, meaning I move in 5 feet, then 2.5 feet, then 1.25 feet, then .75 feet, etc...I will never reach you. Now just because you and I are both an infinite number of intervals from the wall that was behind me, doesn't mean we are equidistance.

Does that make sense? Very good question, I loved it. Keep them coming.

2007-01-20 04:30:48 · answer #2 · answered by Chaney34 5 · 1 2

The rate at which the infinite numbers increases between 0 and 10 is greater than the rate at which the infinite numbers between 0 and 1.

2007-01-20 04:37:00 · answer #3 · answered by always under siege 5 · 1 2

Because, the number "10" is "10" spaces away from "0" on a number line. The number "1" is just "1" space away from "0"

2007-01-20 06:07:05 · answer #4 · answered by ♪♥Annie♥♪ 6 · 0 2

10 is 10 times infinitely greater than 1 thats why

2007-01-20 04:36:03 · answer #5 · answered by Anonymous · 0 2

Numbers are representations of quantity. As the numbers increase the quantities they represent increase even if only by the smallest increment. Numbers are just representations, so 10 is bigger than 1 because it is composed of two symbols instead of one.

Has no one bothered to explain what numbers are?

Your logic is flawed, like that of those who can't admit that calendar years are numbered according to time that has passed, like birthdays or hours rather than time in the process of passing, like days.

2007-01-20 04:36:10 · answer #6 · answered by ? 6 · 3 2

Since 10 has a big zero following it ,it is bigger than 1

2007-01-20 04:47:51 · answer #7 · answered by Anonymous · 1 2

"infinite" = cannot be defined.

0 is the magic placeholder number we invented to allow for values greater than a single digit.

10 is greater than 1 by our own numbering convention. It is, because that is how we define our numbering system.

2007-01-20 04:37:37 · answer #8 · answered by _LEV_ 2 · 0 3

10 is bigger cos 10 is 10 1's

2007-01-20 04:34:13 · answer #9 · answered by Anonymous · 0 4

IT IS NOT ONLY BIGGER IT IS WORTH TEN TIMES MORE THAN THAN YOUR DOLLAR AT THE DOLLAR STORE.

2007-01-20 04:35:19 · answer #10 · answered by Anonymous · 0 5

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