answersLogoWhite

0

🎒

Numbers

Numbers are our way to quantify, label, and organize the world around us in a logical manner. However, the systems used to obtain this goal differ geographically, historically, and by relative utility. All questions pertaining to numbers, including historic labeling systems, bases of numerical systems, constants, and the various ways they're grouped together, should be placed into this category.

46,867 Questions

Is 0.131313 a rational number?

0.13131313 is a rational number, as it's a recurring number, and all recurring numbers are rational. To prove this, you first multiply by 10 until the decimal part of the number is the same. In this case, 0.13131313...x100=13.13131313....

Then you take off the original number 0.131313...x100 - 0.131313... = 13

Now you can simplify the left hand side 0.131313...x99=13

And divide both sides by 99, to get 0.131313....=13/99

So the original number can be expressed as 13/99, proving it's rational.

What is the sum of the first 99 odd numbers?

Well, darling, the sum of the first 99 odd numbers is 9801. You see, you take the last odd number, which is 197, multiply it by the total number of odd numbers (which is 99), and divide by 2. Voila! Math magic at its finest.

How many increasing sequences of three distinct prime numbers have a sum of 20?

List the primes up to 20 (2, 3, 5, 7, 11, 13, 17, 19) and note that the largest possible prime in the sum is 13 because no two primes add up to and of course 19 is too large as well. Also, observe that 2, the only even prime, must be in the sum, because the sum of three odd primes cannot never be 20. Starting with 2 and 3, we see that is not prime. Next, 2 and 5 give , a prime, so one such increasing sequence is 2, 5, 13. Next, we take 2 and 7, and we see that is prime as well, giving us the second sequence 2, 7, 11. 11 and 13 are already included, so we are done. Thus, there are increasing sequences of three distinct prime numbers that have a sum of 20.

What adds to 16 and multiplies to 63?

The two numbers that add to 16 and multiply to 63 are 7 and 9. This is because 7 + 9 = 16 and 7 * 9 = 63. These numbers satisfy both conditions simultaneously, making them the correct solution to the problem.

How do you write in words form 3.016?

Well, isn't that a happy little number! To write 3.016 in words, you simply say "three point zero one six." Just like painting a beautiful landscape, take your time and enjoy the process of turning numbers into words. Remember, there are no mistakes, just happy little accidents!

Why are some constituencies small in area while others are big?

Parliamentary constituencies and legislative constituencies require rational delimitisation. Some constituencies are very large in area on the other hand some are very small. Likewise, in population, some constituencies also are very high in number of electorates and some constituencies are very small in number of voters. Rational delimitisation of constituencies will ensure more voting at democratic rule.

What are the factor pairs of NEGATIVE numbers?

The numbers are the same as positive numbers, just the signs change. Write out the factor pairs as if the number were positive, but make one of the numbers positive and one negative. Now write the same pairs over again and reverse the signs. Negative numbers have twice as many factor pairs as positive numbers do.

How many zeros are there in 90 billion?

As a number it is: 90,000,000,000 which has 10 zeros in it

The number of pi bonds in the oxalate ion c2o42- is?

Oh, dude, you're hitting me with some chemistry now! So, the oxalate ion C2O4^2- has two double bonds, which means it has two pi bonds. It's like the cool kid in chemistry class with those two pi bonds, making it all stable and stuff.

What irrational numbers come between 19 and 20?

Some examples are:

the square root of any integer between 192 and 202, or

the cube root of any integer between 193 and 203, or

the fourth root of any integer between 194 and 204.

Write out 25 million?

25 million is written out as 25,000,000. Since one million has six zeros in it, you can either add six zeros to 25 or move the decimal point over six places to the right of 25. Either method will give you the same answer of 25,000,000.

Why is 13 minutes to 6 the same as 47 minutes past 5?

Well, isn't that just a happy little coincidence? You see, the clock works in a circle, like a beautiful painting coming together. So when you think about it, 13 minutes to 6 is just the same as 47 minutes past 5. It's all part of the magic of time, just like the magic we create on our canvas.

What is the integers greater than -7 but less than -6?

Oh, dude, the integers greater than -7 but less than -6 are just -6. Like, it's not rocket science. Just one lonely little number hanging out between -7 and -6, trying to fit in with the negative crew.

How many numbers are between 100 - 999?

Including 100 and 999 themselves, 900. If you don't count 100 and 999, there are 898.

How long will it take to count a googol?

There are roughly 31.5 million seconds each year. If you counted TWO numbers every second, it would take you about 1.584 * 1090 centuries!!! See the related link below.

What numbers are between 0.01 and 0.02?

The numbers between 0.01 and 0.02 are decimal numbers that fall within that range. These numbers can include 0.011, 0.012, 0.013, 0.014, 0.015, 0.016, 0.017, 0.018, and 0.019. Each of these numbers is greater than 0.01 but less than 0.02, forming a sequence of numbers that increase by 0.001 increments.

How do you write out 6.4 million in numbers including the zeros?

To write out 6.4 million in numbers including the zeros, you would write it as 6,400,000. This is because the number 6.4 million consists of 6 million (6,000,000) and an additional 400,000 (400,000). Therefore, when written out in numerical form, it becomes 6,400,000.

The difference of two numbers is 4 and their product is 60. What are the answer?

Let's denote the two numbers as x and y. We know that x - y = 4 and xy = 60. From the first equation, we can express y in terms of x as y = x - 4. Substituting this into the second equation gives x(x - 4) = 60. Solving this quadratic equation yields x = 10 and y = 6. So, the two numbers are 10 and 6.

What is 0.12345679 as a fraction?

0.12345679 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. Its equivalent, in rational form, is 12345679/100000000, which cannot be simplified further.

How do you work out smallest number divisible by numbers 1 to 12?

I'll build the numbers with prime divisors

2 = 2 so 2

3 = 3 so 2 x 3

4 = 2 x 2 so 2 x 2 x 3

5 = 5 so 2 x 2 x 3 x 5

We already have 6 because 6 = 2 x 3 so we leave it like that

7 = 7 so 2 x 2 x 3 x 5 x 7

8 = 2 x 2 x 2 so 2 x 2 x 2 x 3 x 5 x 7

9 = 3 x 3 so 2 x 2 x 2 x 3 x 3 x 5 x 7

We already have 10 because 10 = 2 x 5

11 = 11 so 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11

We already have 12 because 12 = 2 x 2 x 3 so we're done

SCM = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 = 27720

The smallest common multiple of every number from 1 to 12 is 27720. However it's also the smallest common multiple of every number from 1 to 11 because 11 was the last prime or prime power we added so we can ignore 12 if we want

What is the number 2000000000000000000000000000000000000000000000000000000?

Oh, what a big number you've got there! That number is two followed by 66 zeros, also known as 2 sextillion. Just imagine all the happy little zeros dancing together in harmony, creating a beautiful and infinite number.

How do you round number 1.46 to the whole number?

To round the number 1.46 to the nearest whole number, you look at the digit immediately to the right of the decimal point, which is 4 in this case. Since 4 is less than 5, you simply drop the decimal part and keep the whole number part as is. Therefore, rounding 1.46 to the nearest whole number results in 1.