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Featured 1 month ago

Because it would break the Fundamental Theorem of Arithmetic, along with several other important theorems.

Historically,

One very important theorem that wouldn't work if one was considered a prime number is the Fundamental Theorem of Arithmetic. It states that all integers greater than **unique** product of primes.

The key word there is unique. Let's take

Suppose you were to allow

This would break the fundamental theorem of arithmetic's property that the prime factorizations are unique. After all, the products would be hardly unique if there were infinitely many.

These types of problems is what eventually led to the exclusion of one as a prime number, because it really only caused problems to the set of prime numbers.

Featured 1 month ago

See a solution process below:

To round a number, you take the number to the right of where you want the number to be accurate to. In this problem the second decimal place is

The number to the right of it is

If the number to the right is greater than or equal to

If the number to the right is less than

In this case

Featured 1 month ago

4210

A thousand =1000

Since there are 4 thousands, we multiply it by 4 to get

tens = 10

Since there are 21 tens, we multiply to get the total amount so:

Now we add it together

Featured 3 weeks ago

From here, the common factors of

We know that

Featured 3 weeks ago

See a solution process below:

first, using the number 10, because it is 2 digits, we can only use the 1 of the other digits either before or after the 10.

So this would give us:

710; 810; 910; 107; 108; 109

Then we can combine the 3 single digit numbers in:

#789; 798; 879; 897; 978; 987

Therefore there are a total of 12 three digit numbers you can create.

Featured 3 weeks ago

50 seconds

First, let us convert all the information we have to cents and seconds. This will let the calculation be easier.

Every hour has

60 minutes.

So, 5 hours has

And every minute has 60 seconds. So,

300 minutes has

In 18 000 seconds, Clare earns $90 (which is 9 000 cents).

If we write it in ratios, we get

Money: time = Money: time

Now we just need to find

Remember that,

Product of means = Product of extremes.

So,

Hence, it would take Clare 50 seconds to earn 25 cents.

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