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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 you call zero by the name zero?

The derivation is from the early 17th cent.: from French zéro or Italian zero, via Old Spanish from Arabic ṣifr 'cipher.'

How do mathematicians determine whether or not really large numbers are prime?

A primality test is an algorithm for determining whether an input number is prime, but I'm willing to bet that a lot of mathematicians type "prime number calculator" into their web browsers.

Is 241 a prime number or a composite number?

241 is a prime number. Any number that only has itself and one as factors is a prime number. Therefore, since there are no factors of 241 other than one and itself it is a prime number.

What is used to divide complex numbers?

You can use another complex number, a real number or an imaginary number. Complex number equations make interesting images. The link shows the image

produced by (z-1)/(z+1) and inverses the checkerboard around two points.

Is 3189 a composite number?

Yes. It can be seen to be 3 x 1063. (1063 is a large prime number.)

How can you figure out that 743 is a prime number?

Prime number test: To determine if any number is prime, one method is to check if it can be divided by any of the prime numbers less than its square root. Because the square root of 1000 is approximately 31.6, any 3 digit number (100 to 999) needs to be tested for divisibility only with the prime numbers 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and 31.

The highest prime number that is the square root of a number less than 743 is 23. Since no prime number from 2 to 23 (2, 3, 5, 7, 11, 13, 17, 19, and 23) divides evenly into 743, then 743 is a prime number.

How do you round 1542.71?

1542.71 is approximate to

  • 0 to the nearest ten thousand
  • 2000 to the nearest thousand
  • 1500 to the nearest hundred
  • 1540 to the nearest ten
  • 1543 to the nearest whole number/unit
  • 1542.7 to the nearest tenth

Why does multiplication or division with a negative number yield a negative answer?

The assertion in the question is not always true. Multiplying (or dividing) 0 by a negative number does not yields 0, not a negative answer.


Leaving that blunder aside, let p and q be positive numbers so that p*q is a positive number.

Then

p*q + p*(-q) = p*[q + (-q)] = p*[q - q] = p*0 = 0

that is p*q + p*(-q) = 0


Thus p*(-q) is the additive opposite of p*q, and so, since p*q is positive, p*(-q) must be negative.


A similar argument works for division.

What number is this plus 88213300237?

The first two digits indicate it's a number for either Taiwan or Bangladesh.

Will an absolute value be graphed on the positive or negative side of the number line?

Absolute values are always positive; so graph it on the positive side of the number line.

Why is a 7.32 a prime number?

No.

A prime number is a whole number, an integer. 7.32 is not

What numbers can be mistakenlyidentified as prime?

numbers that do not end in 0, 2, 4, 5, 6 or 8; numbers whose digits do not total 3 or a multiple of 3

Why is the absolute number never a negative?

That's because absolute means 'always positive' so it could never be a negative.