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Kay [80]
3 years ago
8

What does "place value" mean? Give specific examples of systems that use place value and those that do not.

Mathematics
1 answer:
zaharov [31]3 years ago
6 0

Answer:

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Step-by-step explanation:

In the number 456, the "5" has a face value of 5. Value = The place value of the digit times its face value. Example: Find the value of the digits 6, 8 and 4 in the number 684.

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noname [10]
If n is an integer, you can use induction. First show the inequality holds for n=1. You have 2^1=2>1, which is true.

Now assume this holds in general for n=k, i.e. that 2^k>k. We want to prove the statement then must hold for n=k+1.

Because 2^k>k, you have

2^{k+1}=2\times2^k>2k

and this must be greater than k+1 for the statement to be true, so we require

2k>k+1

for k>1. Well this is obviously true, because solving the inequality gives 3k>1\implies k>\dfrac13. So you're done.

If you n is any real number, you can use derivatives to show that 2^n increases monotonically and faster than n.
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3 years ago
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hram777 [196]

Answer:

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Step-by-step explanation:

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If 12 > -15, which of the following must be true?
Tcecarenko [31]

Answer:

12 is to the right of -15 on a number line.

Step-by-step explanation:

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Answer:

Recycling materials helps decrease the amount of new materials taken from the environment.

Step-by-step explanation:

Recycling materials helps decrease the amount of new materials taken from the environment.

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