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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
Why are numbers you get in trigonometry never whole numbers but have to be rounded?
Not true.
tan(45) = 1 is a whole number.
sin(0) = 0 and sin(90) = 1 are whole numbers.
So the question is based on nonsense!
How can you raise a number to a decimal for example 4 raised to 3.5?
That's a very interesting subject, and an important one in Math, Engineering, and
almost every branch of Science.
A short answer is: Do it on a calculator, and you never even have to understand it.
Of course, if you do that, then you never know whether the calculator is lying to you.
It's not possible to teach the whole subject here. But the example in your question
happens to be one that involves comparatively easy numbers, so I'll go through the
process using your example:
-- You know that when two powers of the same base are multiplied, you just keep the base
and add the powers. So you'll recognize that 43.5 could come from (43) times (40.5) .
-- (43) = 64
-- (40.5) or (41/2) means the square root of 4 . That's 2 .
-- So (43) times (40.5) = (64) x (2) = 128 .
What is the lcm of 72 and 147 using prime numbers?
The first step in using primes for finding LCM is to find the factors of the given numbers. The LCM of the given numbers is the product of all the prime factors to their greatest power.
Prime factors of 72 are 23 x 32
Prime factors of 147 are 3 x 72
The LCM of 72 and 147 is 23 x 32 x 72 = 8 x 9 x 49 = 3528
What does the word whole in rounding decimal?
It refers rounding to the nearest integer or to zero decimal places.
What are all the even numbers between 26 and 36?
The even numbers between 26 and 36 are 28, 30, 32, and 34.
What decimal number corresponds to binary number 00000111?
000001112 = 0 x 128 + 0 x 64 + 0 x 32 + 0 x 16 + 0 x 8 + 1 x 4 + 1 x 2 + 1 x 1
= 710
Why do the natural numbers need an extension?
While natural numbers are closed with respect to addition and mulitplication, they are missing the additive identity (zero). Furthermore, they are not closed with respect to two of the fundamental operations of arithmetic: subtraction and division.
How you get the prime factors of the number?
Well say the number was 10 you find the factors (1,2,5,10) then out of those numbers you pick the prime number/s 2 and 10.
For 20 , the factors are 1,2,4,5,10 and 20 so the prime factors are 2, and 5 again
How do you determine the decimal number in the binary system?
It's a bit like long division. The site that I linked below has a good explanation. You can also use specialty calculators, or the programming mode of the Windows calculator.
When is the sum of a positive integer and a negative integer 0?
When the two numbers are additive inverses, for example, 4 and -4. Actually that's how "additive inverse" is defined.
