2TTO §7.5 Standard notation

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Slide 1 - Tekstslide

7.5 Standard notation
Type the following calculation into your calculator:


What answer do you get?

Slide 2 - Tekstslide

Standard notation
Type the following calculation into your calculator:


Your answer will look like this: 
This means the answer was too large to fit the screen of your calculator, so you were given an approximation.

Slide 3 - Tekstslide

Standard notation

This notation is called Standard notation of Scientific notation (both words mean the same). It is a number between 1 and 10 times a power of 10.

In Normal notation, you would write this number as
335 889 526 440 (So more than 300 billion)
              at the end means you move the decimal point 11 places to the right.
If you have no more numbers to write down, you add zeros.

Slide 4 - Tekstslide

Standard notation
Standard/Scientific notation                   Normal notation



Slide 5 - Tekstslide

Standard notation
If you want to write the result of                                     in standard notation, you usually round of the first number in your calculator to 1 or 2 decimal places.

So if your calculator gives:
You write:

Slide 6 - Tekstslide

Standard notation
Very small numbers, such as 0.00000000035 can also be written in standard notation.
You multiply 3.5 (a number between 1 and 10) with a power of 10, where the exponent is negative. This negative exponent tells you how many places to the left you should move the decimal point.



Slide 7 - Tekstslide

Standard notation
Standard/Scientific notation                   Normal notation

Slide 8 - Tekstslide

Evaluation

Slide 9 - Tekstslide

HW 

Slide 10 - Tekstslide