Test2 - Com St. Germain, PhD

Picture

C_{2} H_{4} ((g)) + O_{2} ((g)) \leftrightarrow 3 C O_{2} ((a q)) + 1.5 H_{2} O((l))

C◟2 H◟4 (g) + O◟2 →↔3CO◟2 + 1.5H◟2 O

upper C 2 upper H 4 left parenthesis g right parenthesis plus upper O 2 right arrow left right arrow 3 upper C upper O 2 plus 1.5 upper H 2 upper O

MathML

C_{2} H_{4} (g) + O_{2} \to \leftrightarrow 3 C O_{2} + 1.5 H_{2} O

\frac{1}{10} \times \frac{1}{10} \times \frac{1}{10}

MathML

2 x \frac{y}{4^{2}} \sqrt[\times]{3}

WordPress Table and MathCast

<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mstyle mathsize="3em">
<mrow>
<msub>
<mi>C</mi>
<mn>2</mn>
</msub>
<msub>
<mi>H</mi>
<mn>4</mn>
</msub>
<mfenced>
<mrow>
<mi>g</mi>
</mrow>
</mfenced>
<mo>+</mo>
<msub>
<mi>O</mi>
<mn>2</mn>
</msub>
<mo>→</mo>
<mo>↔</mo>
<mn>3</mn>
<mi>C</mi>
<msub>
<mi>O</mi>
<mn>2</mn>
</msub>
<mo>+</mo>
<mn>1.5</mn>
<msub>
<mi>H</mi>
<mn>2</mn>
</msub>
<mi>O</mi>
</mrow>
</mstyle>
</math>

This is HTML from Canvas

Exponential Notation

This is exponential notation where the small number written above and to the right of the base (superscript), indicating how many times the base is multiplied by itself. (example: 2³ = 2 x 2 x 2)

this is a image showing exponential notation

This is an image showing exponential notation

This is a table showing exponential numbers, the operations, and the ordinary number.
Exponential Number	What is happening	Ordinary Number
1 x 10⁶	10 x 10 x 10 x 10 x 10 x 10	1,000,000
1 x 10³	10 x 10 x 10	1,000
1 x 10²	10 x 10	100
1 x 10¹	10	10
1 x 10⁰	1 (anything raised to 0 power is 1)	1
1 x 10^-1	$LaTeX: \frac{1}{10}$	0.1
1 x 10^-2	$LaTeX: \frac{1}{10}$ x $LaTeX: \frac{1}{10}$	0.01
1 x 10^-3	$LaTeX: \frac{1}{10}$ x $LaTeX: \frac{1}{10}$ x $LaTeX: \frac{1}{10}$	0.001
1 x 10^-6	$LaTeX: \frac{1}{10}$ x $LaTeX: \frac{1}{10}$ x $LaTeX: \frac{1}{10}$ x $LaTeX: \frac{1}{10}$ x $LaTeX: \frac{1}{10}$ x $LaTeX: \frac{1}{10}$	0.000 001

Scientific Notation

This is standard scientific notation where only significant digits are shown and the decimal is after the first digit. This is followed by a multiplication sign, and then 10, and then the power of 10 in superscript. (example: 3.250 x 10³ = 3.250 x 10 x 10 x 10 = 3,250)

This is an image of standard scientific notation

Metric Units

This is a table of commonly used metric units.
What you are measuring	Base Unit	Symbol
Length	meter	m
Mass	kilogram	kg
Volume	liter	L
Temperature	kelvin	K
Time	seconds	s
Amount of something	mole	mol

Metric Prefixes

This is a table of common metric prefixes and their symbols, meaning, and examples.
Prefix	Abbreviation	Meaning	Example
tera	T	1,000,000,000,000 or 10¹²	1 teragram (Tg) = 10¹² g
giga	G	1,000,000,000 or 10⁹	1 gigameter (Gm) = 10⁹ m
mega	M	1,000,000 or 10⁶	1 megaliter (ML) = 10⁶ L
kilo	k	1,000 or 10³	1 kilosecond (ks) = 1,000 s
hecto	h	100 or 10²	1 hectomole (hmol) = 100 mol
deka	da	10 or 10¹	1 dekakelvin (daK) = 10 kelvin
		1	1 gram (g) or any unit
deci	d	1/10 or 0.1 or 10^-1	1 decimeter (dm) = 0.1 m
centi	c	1/100 or 0.01 or 10^-2	1 centiliter (cL) = 0.01 L
milli	m	1/1,000 or 0.001 or 10^-3	1 millisecond (ms) = 0.001 s
micro	m	1/1,000,000 or 10^-6	1 micromole (mmol) = 10^-6 mol
nano	n	1/1,000,000,000 or 10^-9	1 nanogram (ng) = 10^-9 g
pico	p	1/1,000,000,000,000 or 10^-12	1 picokelvin (pK) = 10^-12 K

Common Conversions

This is a table of common conversions.
Conversion Factors / Conversion Rates	Description (can convert the reverse as well)
1 milliliter (mL) = 1 centimeter cubed (cm³) or (cm x cm x cm)	use to convert a milliliter (mL) volume to a centimeter cubed (cm³) volume
1 liter (L) = 1000 centimeter cubed (cm³) or (cm x cm x cm)	use to convert a liter (L) volume to a centimeter cubed (cm³) volume
1 inch (in) = 2.54 centimeters (cm)	use to convert from inches (standard system) to centimeters (metric system)
1 yard (yd) = 0.9144 meters (m)	use to convert from yard (standard system) to meters (metric system)
454 grams (g) = 1 pound (lb)	use to convert grams (metric system) to pounds (standard system)
0.946 liters (L) = 1 quart (qt)	use to convert liters (metric system) to quarts (standard system)
1 mole = 6.022 x 10²³ things (usually atoms or molecules)	can use this to convert in and out of moles (moles to atoms or molecules)

How to Convert Anything in the World in 3 Steps:

Step 1: Find the conversion rates.

Almost any two values with units with an equals sign between them can be a conversion rate or conversion factor (same thing, different name). You can find conversion rates in this tutorial, in your book, on the internet, on food menus, etc. Directly below is a generic version of a conversion rate

LaTeX: value1unit1=value2unit2

Below are some conversion rates.

A table of example conversion rates and descriptions.
Number	Conversion Rate	Description
1	USD$1.00 = MXN$18.67	This means 1 US dollar is equivalent to 18.67 Mexican pesos. This will allow you to convert from pesos to dollars and dollars to pesos.
2	$0.99 = 2 tacos	This means 2 tacos is equivalent to 0.99 of a dollar (99 cents). This will allow you to convert from tacos to dollars and dollars to tacots.
3	1000 g = 1 kg	This means 1000 grams is equal to 1 kilogram. This will allow you to convert from grams to kilograms and kilograms to grams.
4	1 nmol = 10^-9 mol	This means 1 nanomole is equal to 0.000 000 001 moles. This will allow you to convert from moles to nanomoles and nanomoles to moles.
5	$LaTeX: \large\frac{12.01gCarbon}{1molCarbon}$	This means 12.01 grams of carbon is equal to 1 mole of carbon. This will allow you to convert from grams of carbon to moles of carbon and from moles of carbon to grams of carbon. Conversion rates can be written as a fraction. More information is below.

Step 2: Write the conversion rate as a fractions

Any of the conversion rates above can be written in different forms which include fractions.

A table of various example conversion rates in different forms including fractions.
Number	Form: one equals the other	Form: one fraction	Form: the other fraction
1	USD$1.00 = MXN$18.67	$LaTeX: \large\frac{MXN\$18.67}{USD\$1.00}$	$LaTeX: \large\frac{USD\$1.00}{MXN\$18.67}$
2	$0.99 = 2 tacos	$LaTeX: \large\frac{\$0.99}{2tacos}$	$LaTeX: \large\frac{2tacos}{\$0.99}$
3	1000 gram (g) = 1 kilogram (kg)	$LaTeX: \large\frac{1 kg}{1000 g}$	$LaTeX: \large\frac{1000 g}{1 kg}$
4	1 nanomole (nmol) = 10^-9 mole (mol)	$LaTeX: \frac{1nmol}{10^{^{-9}}mol}$	$LaTeX: \large\frac{10^{-9}mol}{1nmol}$
5	12.01 g C = 1 mol C	$LaTeX: \large\frac{12.01gC}{1molC}$	$LaTeX: \large\frac{1molC}{12.01gC}$

Step 3: Multiply what you are trying to convert by the fraction.

Multiply the value you are trying to convert by the conversion rates above (fraction form). Use the fraction that has the same unit as the original value on the bottom of the fraction. Cancel out anything that is the same on top of the fraction line and the bottom of the fraction line.

A table of example values, conversion rates, and the problems being solved.
Number	Example Original Value (what you are trying to convert)	Conversion Rate	Problem	Work (see the units cancelling out)	Answer (any units that don’t cancel carry over to the answer)
1	USD$ 5.00	$LaTeX: \large\frac{MXN\$18.67}{USD\$1.00}$	$LaTeX: \large USD\$5.00\times\frac{MXN\$18.67}{USD\$1.00}$	$LaTeX: \large 5.00\times\frac{MXN\$18.67}{1.00}$	MXN$ 93.35
2	4 tacos	$LaTeX: \large\frac{\$0.99}{2tacos}$	$LaTeX: \large 4 tacos\times\frac{\$0.99}{2tacos}$	$LaTeX: \large 4 \times\frac{\$0.99}{2}$	$1.98
3	327 grams	$LaTeX: \large\frac{1 kg}{1000 g}$	$LaTeX: \large 327 g\times\frac{1 kg}{1000 g}$	$LaTeX: \large 327\times\frac{1 kg}{1000}$	0.327 kg
4	4.1 x 10^-6 nmol	$LaTeX: \large\frac{10^{-9}mol}{1nmol}$	$LaTeX: \large 4.1\times10^{-6}nmol \times\frac{10^{-9}mol}{1nmol}$	$LaTeX: \large 4.1\times10^{-6}\times\frac{10^{-9}mol}{1}$	4.1 x 10^-15 mol
5	47.3 g C	$LaTeX: \large\frac{1molC}{12.01gC}$	$LaTeX: \large 47.3gC\times\frac{1molC}{12.01gC}$	$LaTeX: \large 47.3\times\frac{1molC}{12.01}$	3.94 mol C