Prime Number

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  • Topic: Prime number, Divisor, Greatest common divisor
  • Pages : 6 (1326 words )
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  • Published : December 9, 2012
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MATH 4
A. DIVISION of WHOLE NUMBERS

B. DECIMALS
a. PLACE VALUE of DECIMALS
PLACE VALUE|
Trillions| Billions| Millions| Thousands| Ones / Unit| Decimalpoint| .1| .01| .001| HUNDRED| TEN| TRILLIONS| HUNDRED| TEN| BILLIONS| HUNDRED| TEN| MILLIONS| HUNDRED| TEN| THOUSANDS| HUNDREDS| TENS| ONES| | TENTHS| HUNDREDTHS| THOUSANDTHS| 5| 8| 9,| 6| 1| 2,| 7| 4| 5,| 6| 1| 8,| 3| 2| 5| .| 1| 6| 2|

b. READING and WRITING DECIMALS
---- activity -----
c. =
=
COMPARING AND ORDERING DECIMALS
* >
>
<
<
Symbols used:
greater than less than equal * Two (2) Types of Ordering:
1. Ascending order – from smallest to largest
2. Descending Order – from largest to smallest

d. ADDITION of DECIMALS
Line the decimals up:|  |  | 1.452|
 |  | +| 1.3|
 |  |  |  |
"Pad" with zeros:|  |  | 1.452|
 |  | +| 1.300|
 |  |  |  |
Add:|  |  | 1.452|
 |  | +| 1.300|
| | | |
 |  |  | 2.752|

e. SUBTRACTION of DECIMALS

f. MULTIPLCATION of DECIMALS

MULTIPLICATION PROPERTIES
1. Zero property – (ex: 4x0=0)
2. Commutative property – (Ex: 8x10=80 & 10x8=80)
3. Associative property –
4. Distributive property --
g. DIVISION of DECIMALS

h. SOLVING WORD PROBLEMS IN DECIMALS
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Top of Form
Solve the following word problems.
Julia cut a string 8.46 m long into 6 equal pieces. What is the length of each piece of string?   m
The mass of a jar of sweets is 1.4 kg. What is the total mass of 7 such jars of sweets?   kg
The watermelon bought by Peter is 3 times as heavy as the papaya bought by Paul. If the watermelon bought by Peter has a mass of 4.2 kg, what is the mass of the papaya?   kg
There is 0.625 kg of powdered milk in each tin. If a carton contains 12 tins, find the total mass of powdered milk in the carton.   kg
Marcus bought 8.6 kg of sugar. He poured the sugar equally into 5 bottles. There was 0.35 kg of sugar left over. What was the mass of sugar in 1 bottle?   kg
Bottom of Form
C. NUMBER THEORY
i. DIVISIBILITY RULES

Rule #1: divisibility by 2
A number is divisible by 2 if it's last digit is 0,2,4,6,or 8. For instance, 8596742 is divisible by 2 because the las t digit is 2.

Rule # 2: divisibility by 3:
A number is divisible by 3 if the sum of its digits is divisible by 3 For instance, 3141 is divisible by 3 because 3+1+4+1 = 9 and 9 is divisible by 3.

Rule # 3: divisibility by 4
A number is divisible by 4 if the number represented by its last two digits is divisible by 4. For instance, 8920 is divisible by 4 because 20 is divisible by 4.

Rule #4: divisibility by 5
A number is divisible by 5 if its last digit is 0 ot 5.
For instance, 9564655 is divisible by 5 because the last digit is 5.

Rule # 5: divisibility by 6
A number is divisible by 6 if it is divisible by 2 and 3. Be careful! it is not one or the other. The number must be divisible by both 2 and 3 before you can conclude that it is divisible by 6.

Rule # 6: divisibility by 7
To check divisibility rules for 7, study carefully the following two examples: Is 348 divisible by 7?

Remove the last digit, which is 8. The number becomes 34. Then, Double 8 to get 16 and subtract 16from 34.

34 − 16 = 18 and 18 is not divisible by 7. Therefore, 348 is not divisible by 7 Is 37961 divisible by 7?

Remove the last digit, which is 1. The number becomes 3796. Then, Double 1 to get 2 and subtract 2 from 3796. 3796 − 2 = 3794, so still too big? Thus repeat the process. Remove the last digit, which is 4. The number becomes 379. Then, Double 4 to get 8 and subtract 8 from 379. 379 − 8 = 371, so still too big? Thus repeat the process.

Remove the last digit, which is 1. The number becomes 37. Then, Double 1 to get 2 and subtract...
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