af Clara Verdugo 8 timer siden
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MTE 280
Different number systems are used worldwide, with base ten being the most common in America. A base system is defined by its use of digits, for example, in base ten the digits used are 0-9.
af Clara Verdugo 8 timer siden
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Mere som dette
1. Identity:
A+0=a
With the identity operation, the identity of the number never changes when you add 0 to any # the dignity will never change
2. Communicative property:
A+B= B+A
The order you add numbers doesn't matter they are all the same and you will get the same order no matter what order you write the number in
1. Assocative property:
( A+B) + C= A + (B+C)
Groups of 3 can be written in any order and mean the same thing
Subtraction
1. Take away: 5-2=3
2. Compansion: Anna has 5 books and Ted has 3 how many more books does Anna have? Is it not an addition or subtraction problem just looking and comparing
3.Missing addend: 3+ ?=7 Not a takeaway problem/trial and error
Multiplication
3 Different types of counting
1. Identity property: Ax1=A
multiplying by 1 the identity of the number doesn't change
2. Zero property: Ax0=0
when multiplying by o the product is always zero
3. Commuative proppant: AxB=BxA
order when multiplying doesn't matter the answer is the same no matter what.
4. Assostive property: (AxB) x C= Ax (BxC)
Groups of 3 can be written in any order and mean the same thing
Division
The first step we would take would be to break down each part we would first we would take the 1 and in base 5 this 1 is 25 because it is the 25's place then we would look at the 2 and this is really 2 5's and that we would lastly take the 4 ones and we would all them all together. it would be like this
=(1x5to the 2nd power) + ( 2x 5 to the 1st power) + (4x 5 to the zero power)
=25+10+4
=39
so the number 124 in base 4 is 39 in base 10
Another example:
153 in base 5
If you notice that there is a 5 in the 5's place this is important because we are unable to do anything since it isn't possible to have a 5 in base 5 this rule applies to all bases not just 5 you can't have a number higher than the base your in
For example:
the number 123 in base 2 doesn't work because in base 2 we can only use 0,1
For example:
if we had the number 12
the number 12 in base 9 would be 13
How we would do this is by taking the number 12 and figuring out how it would be written in base 9. Since we can take 1 9 out of 12 we would pit a 1 in the 9's place and since would only have 3 left which isn't enough to make another 9 we would put the remaining 3 ones in the ones place making 12 in base 10, 13 in base9
Example:
347 is the same as
300+50+7 and this is also the same as
(3x100)+ (5x50)+ (7x1) and this is also the same as
(3x10 to the 2n power)+ (5x10 to the 1st power)+ ( 7 x10 to the zero power)
*All these result in the same thing and have the same value
George Rolya has a 4 set processes when it comes to the problem-solving process:
Step 1. Read the problem
Step 2. Plan- ( using problem-solving strategies) This is the longer step and takes the most amount of time
Step 3. Implement the plan- ( due to prior work in step 2 this step is a lot easier)
Step 4. Look back and look to see if the answer is reasonable
*It is important to remember what the problem is asking you!
