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

What are the composite numbers between 80-100?

80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100

Can we include irrational numbers in the set of positive numbers?

Yes, any positive number is a number that doesn't have a (-) behind it (-20; -23.67; -45.45454...), and is not zero (0).

Any repeating number (see 3rd negative example) is irrational, no matter what its sign. Irrational numbers also include numbers (decimals, specifically) that don't repeat, but don't stop. Numbers that don't terminate include pi.

Pi, as it is, is proof of a positive irrational number.

Is 02 a prime number?

0.2 is not a prime number. Prime numbers belong to the set of whole numbers.

Can decimal number always be accurately represented as a binary number?

No.

eg 0.1 is non terminating in binary and so would only ever be an approximation, just like 0.3, 0.33, 0.3333333 are all approximations of 1/3 (which is non terminating when represented as a decimal).

How do you find the prime factorizatoin of a number?

Prime Factorization

"Prime Factorization" is finding which prime numbers you need to multiply together to get the original number.

Example 1

What are the prime factors of 12?

It is best to start working from the smallest prime number, which is 2, so let's check:

12 ÷ 2 = 6

But 6 is not a prime number, so we need to factor it further:

6 ÷ 2 = 3

And 3 is a prime number, so:

12 = 2 × 2 × 3

As you can see, every factor is a prime number, so the answer must be right - the prime factorization of 12 is 2 × 2 × 3, which can also be written as 22 × 3

Example 2

What is the prime factorization of 147?

Can we divide 147 evenly by 2? No, so we should try the next prime number, 3:

147 ÷ 3 = 49

Then we try factoring 49, and find that 7 is the smallest prime number that works:

49 ÷ 7 = 7

And that is as far as we need to go, because all the factors are prime numbers.

147 = 3 × 7 × 7 = 3 × 72

What are 3 consecutive integers such that twice the middle integer plus the largest is 14 less than five times the smallest?

If x is the smallest, the other numbers are (x+1) and (x=+2).

2(x+1) + (x+2) = 5x - 14

2x + 2 + x + 2 = 5x -14

3x + 4 = 5x -14

4 = 5x - 3x - 14

4 + 14 = 5x - 3x

18 = 2x

9 = x

To verify...

(10 * 2) + 11 = 20 + 11 = 31

(5 * 9) - 14 = 45 - 14 = 31

What 2 prime numbers equal 19?

Prime numbers less than 19:

2, 3, 5, 7, 11, 13, 17

The only combination that works is 2 + 17 = 19

How can you check if a number is divisible by 9 when usimg?

Add all the digits of the number together - if the sum of the digits is divisible by 9, then the original number is too.

How do you write 100000000 in word form?

100,000,000 is

hundred million

or one hundred million

How many are the prime numbers in1 to 100?

There are 25 prime numbers from 1 to 100.

These are:

2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97

How can you tell which fraction is greater if both fractions have the same number?

If the fraction is 4/4 and 4/4 they are the same.

if the fraction is 2/4 and 3/4. 3/4 Is larger.

Does polar molecules have an equal number of positive and negative particles?

polar molecules have a separation between their +ve & -ve charges,their dipole moment is not equal to zero..no,they don't have equal no. of particles

What are the first 6 prime numbers between 30 and 60?

The first 6 prime numbers between 30 and 60 are: 31 37 41 43 47 53.

What is -30.03 in integer form?

An integer is a number without decimal places. -30.03 in integer form is -30.