The decimal system is a way of representing a number using powers of ten. The first digit before the decimal is the ones place. Suppose we have a digit, $ d $, that is in the ones place. Since $ d $ is in the ones place the value of $ d = d \times 10^0. $ We use 10 since we are in the decimal system (base 10). We use 0 for the exponent because we are 1 digit to the left of the decimal. Why 0? In Computer Science and Mathematics, counting is often started at 0. Also...

Suppose we had a fraction like $\frac12,$ and we wanted to convert it to decimaldecimal notation. All we have to do is divide 2 into 1 like this:

Suppose we wanted to convert the decimal number 27 to binary. To get started we have to find out what place the first digit is going to be in. 27 is between $ 2^4=16 $ and $ 2^5=32 $. Our number is less than 32 so we can put a 0 in the "thirty-twos" place. We put a 0 in the thirty-twos place because if we put a 1 that would immediately turn the value of our binary number to at least 32. However, sixteen will fit inside 27 so we can put a 1 in the "sixteens" place.

factor a factor is an integer that divides another integer with no remainder leftover

The most common symbols found in mathematics are listed below. The table is not exhaustive but covers numerals, trigonometry and geometry. If you would like to see a mathematics symbol added you can contact North Penn Networks. Likewise if there are errors please also reach out. The math symbols below are rendered with MathJax. $+$plus or additon sign $-$minus or subtraction sign $\times$times or multiplication sign $\div$division sign $=$equal sign $\neq$inequality $\gt$greater than $\geq$greater than or equal to $\lt$less than $\leq$less than or equal to $\%$percent $\sqrt{n}$square root of n $\left|n\right|$absolute value of n $\infty$infinity $\parallel$parallel $\perp$perpendicular $\angle$angle $!$factorial $!!$double...

The idea of numerals is illustrated below. The numbers from zero to nine are depicted as dominoes shaded in blue. Though the numbers are depicted below, numbers are imaginary (they don't exist in real life). I've never seen the number five walking in my neighborhood or any other number for that fact. In this respect math is different from other sciences than say, chemistry, where atoms can be reached out and touched or geology where the Earth can be walked upon. After the "imaginary" numerals depicted below some addition and multiplication terminology is defined in the context of real analysis....