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# Standard Form

 4 Standard Form What is standard form. (scientific notation) Writing large and small numbers in standard form Converting between a 'normal number' and 'standard form' Using a calculator for standard form (using EXP) Rounding numbers in standard form Khan Video Tutorial: Video 1 | Video 2 | Video 3 | Examples Activity Standard form to normal numbers (www.transum.org) And normal to standard form Standard Form Conversions p376 Ex 26.01 p66, Ex 5.01 Standard Form Calculations p380 Ex 26.02 p69, Ex 5.02 Word problems p70, Ex 5.03 Scale of the Universe Scale of the universe2 link to http://scaleofuniverse.com You tube Powers of ten NuLake p8,9,10

# Big & Small Numbers

In the metric system there are standard ways of talking about big and small numbers. "kilo" for a thousand, "mega" for a million, and so on. See the chart below.

For example, if a long rope measures one thousand meters, it is easier to say it is a kilometer long, and even easier to write it down as km.

Example 2: if we weigh something on a set of scales and it shows 2,000 grams, we can call that 2 kilograms, or even 2 kg.

Example 3: If the doctor wants you to take 5 thousandths of a litre of medicine (thousandth=one thousand times smaller), he is more likely to say "take 5 milliliters", or write it down as 5ml.

In that example we used kilo as a prefix to the word meter,
and we used k as a symbol for kilo in front of m as the symbol for
meter.

# Common Big and Small Numbers

 Name The Number Prefix Symbol trillion 1,000,000,000,000 tera T billion 1,000,000,000 giga G million 1,000,000 mega M thousand 1,000 kilo k hundred 100 hecto h ten 10 deka da unit 1 tenth 0.1 deci d hundredth 0.01 centi c thousandth 0.001 milli m millionth 0.000 001 micro µ billionth 0.000 000 000 001 nano n trillionth 0.000 000 000 000 001 pico p

# Some Very Big, and Very Small Numbers

 Name The Number Prefix Symbol Very Big ! septillion 1,000,000,000,000,000,000,000,000 yotta Y sextillion 1,000,000,000,000,000,000,000 zetta Z quintillion 1,000,000,000,000,000,000 exa E quadrillion 1,000,000,000,000,000 peta P Very Small ! quadrillionth 0.000 000 000 000 001 femto f quintillionth 0.000 000 000 000 000 001 atto a sextillionth 0.000 000 000 000 000 000 001 zepto z septillionth 0.000 000 000 000 000 000 000 001 yocto y

# Big Numbers We Have Named

 Name As a Power of 10 As a Decimal Thousand 103 1,000 Million 106 1,000,000 Billion 109 1,000,000,000 Trillion 1012 1,000,000,000,000 Quadrillion 1015 etc ... Quintillion 1018 Sextillion 1021 Septillion 1024 Octillion 1027 Nonillion 1030 Decillion 1033 Undecillion 1036 Duodecillion 1039 Tredecillion 1042 Quattuordecillion 1045 Quindecillion 1048 Sexdecillion 1051 Septemdecillion 1054 Octodecillion 1057 Novemdecillion 1060 Vigintillion 1063

# Small Numbers We Have Named

 Name As a Power of 10 As a Decimal thousandths 10-3 0.001 millionths 10-6 0.000 001 billionths 10-9 0.000 000 001 trillionths 10-12 etc ... quadrillionths 10-15 quintillionths 10-18 sextillionths 10-21 septillionths 10-24 octillionths 10-27 nonillionths 10-30 decillionths 10-33 undecillionths 10-36 duodecillionths 10-39 tredecillionths 10-42 quattuordecillionths 10-45 quindecillionths 10-48 sexdecillionths 10-51 septemdecillionths 10-54 octodecillionths 10-57 novemdecillionths 10-60 vigintillionths 10-63