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Published byMercedes Allsup Modified over 2 years ago

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Water.. Can the water be also connected with normal form of numbers?

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Where you’ll learn, what is normal form of numbers. Which has a lot of valuable things for physics. In which you’ll learn how to write any number in normalform. And will learn how to do algebra with numbers in normal form...

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5’000’000’000 0.0000000000099 343,9×10 123 3,2×10 1234 ? What does your intuitition tells you? «Press» the one number which might be the correct one

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Click somewhere to continue...

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Normal Form is a such number that has before its comma one significant number which is increased by order of 10: Click on me!

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WWhat are they? AAs is known, number of digits is infinite, but digits are only 10. OOf them nine are significant... DDo you suspect, which ones? WWell then, of curse: 11, 2, 3, 4, 5, 6, 7, 8, and 9 00 (zero) is NOT a significant number! AAnd now click on some spot on the screen!

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a nice picture (portrait) of water molecule

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345’678=3,45678 100’000=3,45678 10 5 Usually two numbers are left after comma: 3,46 10 5 Sometimes comma is «carried»: 345’678= 345678 If the number is without comma, then know, that it is «hiding» behind the last figure, 10, Now lets «carry» the comma, so that one significant figure is left before it! Lets count, how many spaces has the comma «moved». 5 5 The resulting number is the exponent of the 10 5 + If the comma is «carried» to the left, then the power character is «+», and usually it is not writtenDONE!

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5 0,0000012=1,2 0,000001=1,2 10 -6 arasiz komata atstāj divus ciparus:6 10 5 In this situation also «carrying» comma is used: 0,0000012 =1,2 10, Lets «carry» the comma, so that one significant number is left before it! Count, how many places has the comma «carried» over 6 The resulting number is exactly the exponent of 10 6- If the comma is «carried» to the right, then exponent character is «-»! DONE!, 1 23 4 6 6 BUT!!!

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Press the space button when you’re finished calculating

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Have you really calculated already ? Press space button, when finished calculating

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Add numbers that are multiplied by powers of 10, while 10 with its power stays the same. Press space button when you’re done calculating

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In order for addition to be doable, sometimes normal form of the number has to be changed: or direction for every «step» taken power is increased by 1power is decreased by 1

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ExamplesFor self-control Press space when finished... When examples are done, its time for self- control tasks... Press space button!

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Advantages: ◦ Very small and very big numbers can be written; ◦ No need to count zeros; ◦ The same units of measurment can be used to measure both big and small amounts (no need to know decimal prefixes). Disadvantages: ◦ Looks unusual; ◦ Won’t be understood in shop; ◦ Several formulas has to be known in order to calculate.

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Planet Earth... Equator... Size of water molecule... Belt... What could be calculated, what information and where to find it? I – human... Water in me... Mass of one water molecule... What could be calculated, what information and where to find it?

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