1. How to write numbers The 4 different ways to represent numbers:
Numerical, Word, Scientific, Engineering

2. Intro Numbers are used everyday to represent many different things.
In science numbers are mainly used to measure and to count. We call this process “quantification.”
Quantification is “the act of counting and measuring that maps human sense observations and experiences into members of some set of numbers. Quantification in this sense is fundamental to the scientific method.” Reference:
There are a variety of ways in which a number can be represented.
Standard form
Word form
Scientific Notation
Modified Scientific Notation

3. Standard form This form is written with numbers, commas, and decimals.
No words are used to write the number places.
123,456,789
123,

4. Word form This form is written with numbers and decimals.
Words are used to define the number place of the number being written.
Examples
35,000,000,000 is written as 35 billion
123,000,000,000,000 is written as trillion
is written as 6.5 millionth
Used when you want to express numbers, especially large numbers, that have been rounded out.
123,456, million or million
12,345,678,901, trillion or 12.3 trillion

5. Scientific Notation
This form is used to represent extremely large or small numbers.
The number is expressed using powers of 10.
Has the form of A x 10B where 0<A<10 and B represents the number of places used to move the decimal behind the first non-zero digit. B is positive if the decimal is moved left. B is negative if the decimal is moved right.
Examples:.
123,456,789 is written as x 108
is written as x 10-11
Sometimes a number is rounded when it is placed in scientific notation.
29,984,583,748 is written as 3.00 x 1010
is written as 8.00 x 10-7
The speed of light is 299,792,458 m/s can be written as 3.00 × 108 m/s
Avogadro’s number is can be written as x 1023
This is done to show it in a simpler form that keeps the magnitude of the number.

6. Engineering Notation
This form is similar to the Word form and Scientific Notation.
Has the form of A x 10B
It is normally used with large or small numbers.
The difference being 0<A<1000 and A comes from the digits representing the initial number place of the number.
10B represents the number place and B is a multiple of 3.
Examples:.
98,000,000 is written as 98 x 106 or 98 million
123,000,000,000,000,000 is written as 123 x 1015 or 123 quadrillion
This can also be used to write approximated numbers
789,432,863,202,100 is written as x 1012 or trillion

7. Table of SI Units Prefix Symbol Numerical Form Sci. Not. Number Place
yotta Y
1.00 x 1024
Septillion
zetta Z
1.00 x 1021
Sextillion
exa E
1.00 x 1018
Quintillion
peta P
1.00 x 1015
Quadrillion
tera T
1.00 x 1012
Trillion
giga G
1.00 x 109
Billion
mega M
1.00 x 106
Million
kilo k
1000
1.00 x 103
Thousand
hecto h
100
1.00 x 102
Hundred
deca da 10
1.00 x 101
Ten 1
1.00 x 100
One
deci d
0.1
1.00 x 10-1
Tenth
centi c
0.01
1.00 x 10-2
Hundredth
milli m
0.001
1.00 x 10-3
Thousandth
micro μ
1.00 x 10-6
Millionth
nano n
1.00 x 10-9
Billionth
pico p
1.00 x 10-12
Trillionth
femto f
1.00 x 10-15
Quadrillionth
atto a
1.00 x 10-18
Quintillionth
zepto z
1.00 x 10-21
Sextillionth
yocto y
1.00 x 10-24
Septillionth