Subtracting Fractions

Subtracting Fractions

With like denominators:

5/6 -1/6= 4/6= 2/3

Show with a picture or model:

3/4- 1/4= 2/4= 1/2

1/3- 1/3= 0/3= 0

Solve:

7/10- 3/10= 4/10= 2/5

1- 1/9= 9/9- 1/9= 8/9 (1= 9/9)

*Homework*
Do pages 220- 221. #1- 14 odd then even

Adding Fractions

ADDING FRACTIONS, ;
* RULE : when adding fractions with like denominators ( same bottom number) add the numerators, denominator stays the same..


















Use A Diagram To Show ;









Write your answer in the lowest terms.
5/12 + 1/12= 6/12 = 1/2
4/9+2/9=6/9 = 2/3

Divisibility

Divisible:
- When a number can be divided by another number, with no remainders.

Divisibility Rules:
-Quick ways to determine if a number is divisible by another number.

Rule for 2:
- All even numbers are divisible by 2.
- Any number ending in 0, 2, 4, 6, 8.

Rule for 3:
- Add up all the digits until you have a single digit remaining. If that digit is divisible by 3 then the number is divisible by 3.

e.g 93 9 + 3 = 12
1 + 2 = 3 yes

273 2 + 7 + 3 = 12
1 + 2 = 3 yes

1045 = 1 + 0 + 4 + 5 = 10
1 + 0 = 1 no

Rule for 4:
- If the last 2 digits are divisible by 2 twice, then the number is divisible by 4.

e.g 4 divided by 2 = 2 2 divided by 2 = 1 yes

16 divided by 2 = 8 8 divided by 2 = 4 yes

10 divided by 2 = 5 5 divided by 2 = 2.5 no

- 2 x 4 = 8
2 x 2 x 2 = 8

- The rule for 4 is if the last 2 digits are divisible by 2 twice, then the number is divisible by 4.

Rule for 5:
- Any number that ends in 5 or 0 is divisible by 5.

e.g 155 is divisible by 5
8974 is not divisible by 5

Rule for 6:
- Any number that is divisible by 2 and 3 is divisible by 6.

Rule for 7:
- Use a calculator.
- There is no short cut for 7. Yet.
- You should find one, and name it after yourself.

Rule for 8:
- If the last 2 digits are divisible by 2 three times, then the number is also divisible by 8.

e.g 16 divided by 2 = 8. 8 divided by 2 = 4. 4 divided by 2 = 2 yes

18 divided by 2 = 9. 9 divided by 2 = 4.5 no

17948 48 divided by 2 = 24. 24 divided by 2 = 12. 12 divided by 2 = 6 yes

Rule for 9:
- Add up all the digits until you have 1 digit left. If that digit is 9 the number is divisible by 9.

e.g 18 1 + 8 = 9 yes

54 5 + 4 = 9 yes

468 4 + 6 + 8 = 18 yes
1 + 8 = 9

2345 2 + 3 + 4 + 5 = 14
1 + 4 = 5 no

Rule for 10:
- Any number that ends in 0 is divisible by 10.

e.g 1070 is divisible by 10

27367 is not divisible by 10

3604 is not divisible by 10

Rule for 0:
- Nothing is divisible by zero.

Quotient:
- The result of a division question.

e.g 12 divided by 2 = 6, the quotient is 6.







http://www.basic-mathematics.com/divisibility-rules-game.html
This is a link that has a divisibility game on it to test your divisibility knowledge.


If you are also having any trouble with other basic math stuff, there are also other games and problems to help you out.

Try to figure out the answers to these division questions to get better at division and divisibility.


REMEMBER TO WEAR BLACK TOMORROW FOR THE GYM RIOT!!

If there is any mistakes or questions, please feel free to ask or tell me.

Experimental & Theoretical Probability

"Probability"


Flip 2 pennies 10 times


Find theoretical probabily of each possibility.




Experimental and Theoretical Probability






Here is a video you guys should watch to help you
to understand what we are doing in school . (:



--- HOMEWORK ---

pages 186 - 189
numbers 1-13

-- Feel free to ask questions (:

Homework

Here is the zombie nation song... PRACTICE THIS . (:

You have to WEAR GREEN on FRIDAY..

or ELSE!

.HOMEWORK.

Pages 174-176, all questions in the textbook.

If you guys have any questions feel free to ask... (:

Random

Random: An event in which every Outcome has an equal chance of occurring. 

                 ex. Flipping a coin, Spinning a spinner, Rolling a dice, and Selecting a card.

Not random: 

Spinning a spinner with one unequal side.

Goldilocks sits on chairs and eats porridge. How many possible outcomes are there?

There are 9 possible outcomes. 1/9 and 1:9 and 1%.

Q: Does Goldilocks choose the chair and porridge at Random? Explain your answer.

A: No, she has a choice and preference.

She is picking the one she likes.

*If you have a choice, It's not random.

Q: What is the probability of Goldilocks picking just the right porridge? 

A: 100%, Goldilocks picks it.

A marble is randomly selected from a bag containing one blue, one red, and one green. Then, a four sided die labeled 1, 2, 3, and 4 is rolled.

a)Create a table to show the Sample Spacer.

b) What is the probability of choosing any colour, and rolling any number but 3.

c) What is P(blue or green, a number greater than 1)?

d) What is P(black, 1)?

e) What is the probability that a red, green or blue marble is selected and the die displays a 4?

ANSWERS:

a)

b)9/12= 3/4 and 3:4 and 75%

c)6/12= 1/2 and 50%

d)0/12 and 0:12 and o% (impossible event)

e) 3/12= 1/4 and 1:4 and 25%

Homework:

A four sided die is labelled 1, 2, 3 and 4. 

A spinner divided into 5 equal parts: fly, swim, hop, glide and walk.

a) Create a table and sample spacers.

b) What is P(3, swim)?

c) What is P(odd#, hop)?

Probability

There's 4 coins in a cup- 0.25, 0.10, 0.05, 0.01
You draw 1 coin then put it back, then draw another coin. If those 2 coins add up to an even sum you win. If they add up to and odd sum you lose.
Do you want to play? Explain the odds, are they in your favor or not.

Organize Outcomes
Create a Table or a Chart

P (even sum)=10/16 or 5/8 or 62.5%
P (odd sum)=6/16 or 3/8 or 37.5%


A coin is flipped and a six sided die is rolled.These 2 are called independent events.
Independent event- The outcome of one event has no effect on the outcome of another event.
Sample Space- All possible outcomes of an experiment.

A coin is flipped and a six sided die is rolled
a)Use a table to list all possible outcomes.
b)How many possible outcomes are there
c)Write the sample space for this combination of events.

Possible outcomes:12
Sample space: (H1) (H2) (H3) (H4) (H5) (H6)
(T1) (T2) (T3) (T4) (T5) (T6)
Find P (heads and even)
3/12=1/4 or 25% or 1:4

• Homework
  A toonie is flipped and a 4 sided die is rolled. Using a chart find the P(tails and odd#)