Percents,Decimals and Fractions

I'm having a bake sale and I baked 40 cookies but only 26 where sold.Now how do I show this as a fraction , decimal and percent ?

This is how you make it a fraction :

You can see that you can split 40 and 26 into 2 or divide it by 2 . So you take 40 and 26 and dived it by 2, you do these to both of numbers because what ever you do one number you have to do it with the other number. So if you divide 40 by 2 you get 20 and if you divide 26 by 2 you'll get 13 . So thats your answer 13 over 20 .

This is how you make it a decimal :

This is how you turn13 over 20 in to a decimal number. You have to divide 13 and 20 by 20.You divide it by 20 because the denominator which is 13 always has to equal a decimal number . So if you divide 20 by 20 you get 1 and if you divide 13 into 20 you get 0.65 so thats your answer 0.65 .

This is how you make it into a percent :

This is how you turn it into a percent.You take 13 over 20 and you divide it by 5. You have to divide it by 5 because the bottom number which is 20 has to equal the number 100 because percent means it's out of 100 .So if you divide 20 times 5 you get 100 and if you divide 13 by 5 you get 65 and thats your answer 65 percent.

Heres a link that might help you :http://www.mathplayground.com/Decention/Decention.html

percent, decimal, fractions

percent is out of 100

this % also means percent making it out of 100 too.

Decimal is out of 1.

Fractions are out of any whole number.

Equivalent Fractions are when the fractions, decimals, and percentage are all equal to each other.

To figure out what the percentage in the decimal point is you have to take the number on the top divide by 100 then do the same to the bottom .

for example

December 10, 2010.

Percent- means out of 100

30% means 30 out of 100 or 0.30 or 30/100.

Loading Strip - used to answer questions like 50% of 20%.

Percent on top of number of body

Write the following percents as decimals:

100% =1

50%=0.50

25%=0.25

10%=0.10

62.5%=0.625

Using a loading strip model:

10% of 72.40

Ratio Table- is a loading strip turned sideways.

Find 60% of 90:

Here is a link that might help

Questions 8, 9, 10

Question 8: A)

B)

Question 9: A support must be placed under the pool table at centre. Make a sketch of the pool table. Draw the position of the perpindicular support. Label the support and label the measures of the table lengths on each side of the support.

Question 10: You can draw a perpindicular bisectior of a 30-cm line segment. You then draw a perpindicular bisectopr of one of the bisected line segmentS.

A) What is the length ofthe shortest line segment? 7.5

B) How does the legth of the shortest line segment compare to the length of the original line segment? It is a quarter of the original.

Questions for 16 and 17

16.) What is the area of the triangle?

a.) A= b x h (base times height)

6 m is the base and the 2 m is the height.
After you multiply 6 m and 2 m, it's going to give you 12m.
Then, you will have to divide 12m to 2. It will give you 6 m.
The answer is, 6m²

b.) b=5.2m, h=5.3m
b x h
5.2 x 5.3
= 27.56
--------------
2
= 13.78 m²
The line you see the above 2 and below 27.56, that means divided by.

17.) Aleta has a pasture for her horses. The pasture runs alongside a creek a shown.

a.) What is the approximate area of the pasture?
Explain how you determined your answers??

The answer is .88km²
1.1 x 1.6
=1.76
------
2
= .88 km²
I got the answer by multiplying the base and the height and divided it by /2
and i got the answer of .88
I got the answer by following the formula of area of triangle.

Here's a video, If you can't still understand.

Answers for Textbook pages 1-7

1. Describe lines that intersect at 90 degrees.
- Perpendicular.

2. Describe lines in the same plane that never intersect.
- Parallel

3. A line that divides a line segment in half and is at right angles (90 degrees) to it.
- Perpendicular bisector

4. A line that divides an angle into two equal parts.
- Angle bisector.

5. A part of a line between two endpoints.
- Line segment.

6. Which of the following are parallel, and which are perpendicular?
a) parallel
b) perpendicular
c) perpendicular
d) parallel

7. Copy these line segments into your notebook. Draw two perpendicular line segments and two parallel line segments for each.

a)

b)

textbook numbers 14 and 15

This is question to number 14 in your textbook!



What is the area of each parallelogram?






a) base 5m and height 3m



area = b*h

area = 5m*3m

area = 15m squared Area is 15m squared.

This is question to number 15 in your textbook!

In the flag of Congo-Brazzaville, the length of the rectangle is 2.7 times the base of the yellow parallelogram. How do the areas of the rectangle and the parallelogram compare? Explain.

Well, the area of the rectangle is b*h and same with the parallelogram both the rectangle and the parallelograms height are the same but the only difference is that the length of their base are different which means that the rectangle is always going to be 2.7 times bigger.

Here's a link that might help you if your still struggling!!!

http://http://www.ixl.com/math/practice/grade-7-area-of-rectangles-and-parallelograms

And here's a video to, hope you like it!

EVERY triangle is half of a parallegram we know the formula to find the area of a parallelogram is base times height. so the formula for the area of a triangle is half the area of a triangle base times height divided by

A=B x H line manes divided by height

2

height of triangle perendicular

line from base to opposite angel

Area of a Triangle

How to find the area of a triangle?

You find the area of a triangle by base times height divided by two.

b * h / 2

The proper way you write it is:

A = b * h

2

A triangle is always 1/2 of a parallelogram. So the triangle's area is the half of a rectangle's area.

Here is a 3 x 3 grid with a triangle.

First, you figure out what the height is. (THE BASE IS NOT ALWAYS THE BOTTOM!)

You have to find out where is it perpendicular. ( REMEMBER, THE HEIGHT IS ALWAYS PERPENDICULAR TO THE BASE.)Then, measure the height which is 3 cm.. Measure the base which is 3 cm.. Multiply the base and the height which is 9 then divide it by 2. You got the area which is 4.5 cm square.

A= b *h

2

A= 3 *3 / 2

A= 9 / 2

A= 4.5 cm. square

These are ways to know if the triangle belongs to a square-rectangle, rectangle, and parallelograms.

Square/rectangle - One 90 degree angle.Two 45 degree angles.

Parallelograms- No 90 degree or 45 degree angles

THESE ARE THE TRIANGLES!! NOT THE 4 SIDED FIGURES!!

Do you see this colored word? Press it. I LOVE BASEBALL!! ( THIS IS A LINK!!)

This guy is awesome at explaining the area. I watched it and I hope you will too. :)

If I'm forgetting something please leave a comment. Put an honest comment. OK! I'll appreciate it.

Questions 4 to 6

4.) Determine the area of each parallelogram.



They are drawn on centimetre grid paper.







a)
A = b x h
A = 2x4
A = 8cm squared






b)




A = b x h




A = 3 x 5




A = 15 cm squared








5.) Draw each of the following parallelogram on centimetre grid paper.




Use the formula to determine the area of each parallelogram.




Check your answers using estimation.














a) b = 4cm , h = 5cm

A = b x h

A = 4 x 5

A = 20cm squared

b) b = 3cm , h = 7cm

A = b x h

A = 3 x 7

A = 21cm squared



















6.) Draw each of the following parallelogram on centimetre grid paper.
Use the formula to determine the area of each parallelogram.
Check your answers using estimation.



a) h = 6cm , b = 4cm

A = h x b

A = 6 x 4

A = 24cm squared

Questions 10-12

10) A parallelogram-shaped stripe is going to be painted on the wall of a daycare center. There is enough paint to make a stripe with an area of 9m². How high can the stripe be?

The answer is 6m²

All you have to do is divide 9 by 1.5

9 ÷ 1.5 = 6

11a) With a ruler, measure the base and height of the parallelogram. Explain how you measured.

The parallelogram looks something like this:

First, measure any of the 4 sides and remember that it is your base (b). Then, measure the line perpendicular to it, and that is your height (h). In this case, the base is the vertical left side, and the height is the top horizontal side.

11b) What is the area?

b = 2cm h=1.5cm

2cm × 1.5cm = 3cm²

11c) Use a different side of the parallelogram as the base. Determine the new height and calculate the area.

Use the vertical right side as your base, and use the bottom horizontal side as your height.

b= 2cm h= 1.5cm

2cm × 1.5cm = 3cm²

How does this compare to your answer b)?

They are both the same answers, because the sides of 11b) are equal to the sides of 11c), making the opposing sides parallel (bottom and top horizontal lines parallel, left and right vertical lines parallel).

12) Which of the 2 shapes shown below has a greater area? Explain your answer.

The picture looks like this:

Both of these shapes have an equal area, because their length and base are the same distance apart, and they are both perpendicular.

Here is also a link to help you with the Area of a Parallelogram

And a video to help too.

1-3

1-3

1. Explain why the area of a rectangle and the area of a parallelogram made from the rectangle are the same.
Answer: They are the same length at sides .

2.Deepa determined the area of this parallelogram to be 5cm sq

3. These parallelograms are drawn on centimetre grid paper. What is the area of each
parallelogram?
a)3cm square
b)6cm square

Here is a video to help you :


Here is a link to help you :
http://www.xpmath.com/forums/arcade.php?do=play&gameid=11

Here is a photo to help you:

Parallelogram

Parallelogram- a four sided figure with opposite sides parallel and equal in length.

Base- a side of a closed 2d figure.
- common symbol is b

Height- the perpendicular distance from the base to the opposite side.
- common symbol is h.

This is what some of the parallelograms look like.



Area of a Parallelogram.
To find the area of a parallelogram, you need to do Base x Height (b x h).


Height is the one the look likes the letter h.

Here is a video to help.



Here is a link: http://www.mathsisfun.com/area.html

angle bisector

Bisector: to cut in 2
Bi:2
Sect:cut

Acute Angle: less than 90 degrees

Right Angle: 90 degrees

Obtuse Angle: greater than 90 degrees and less than 180 Degrees

How to make a perpendicular bisector

Definition of the word 'Bisect':
Bi=two
Sect=cut
Bisect=to cut on two

There are 3 way on how to make a perpendicular bisector:

Way #1:

What you'll need:

• Paper
• Pencil
• Compass(math tool)
• Ruler

1. You first draw a line segment. Lable the ends line segment AB
2. Place the sharp end of the compass on point A.
3. Make an arc that is slightly larger than half of the length of the line segment.
4. Repeat the process to point B. *REMEMBER USE THE SAME SIZE OF THE ARC USED ON POINT A!*
5. With a ruler join the two are intersections with a straight line.

Way #2:

You will need the following...

• 
• Pencil
• Right triangle
• Paper
• Ruler
  

1. Draw a line segment. Lable the points AB
2. Measure the line segment with a ruler.
3. Devide the measure in half; that is now called the half way point.
4. Use the right triangle to create a perpendicular line a the half way point.

Way #3:

You will need the following...

• Pencil
• Paper
  

1. Draw a line segment. Lable the points EF.
2. *Make sure you're in a well lit room.*
   
3. Fold the paper so point A falls right on top of point B.
4. This will make the crease a perpendicular bisector!

Here's a link to help you more on perpendicular bisectors!
Also a video...

line segments

How to construct perpendicular line segments :

1. Use a ruler to draw a line segment AB

2. Place the edge of a right triangle on the line segment AB

How to construct parallel line segments :

1. use a ruler to draw line segment CD

2. use a right triangle to make a perpendicular line segment .
3. slide the right triangle left or right along the line segment CD and draw another

perpendicular line segment lableled GH .

Here is a video to help you :

Here is a link to help you :

http://www.mathopenref.com/linesegment.html

Orders of operation- BEDMAS

B- Brackets ( )

2

E- Exponents 2

D- Division

M- Multiplication In order from left to right.

A-Addition

S- Subtraction In order from left to right



Example for using BEDMAS



2x2+2=? is it 6 or 8
\ /

2 x4=6

Order of operations

Bedmas
B- Brackets

E- Exponents

D- Division

(In order from left to right)

M- Multiplication

A- Addition

(In order from left to right)

S- Subtraction

Q:
Annie has been asked to calculate 1.7+6 divided 2. She claims that the answer is 3.85. Do you agree?
Explain why or why not
i don't agree because she didnt use BEDMAS

Example:
24-4 multiply 2 + 3=
24 - 8 + 3=
16 + 3 = 19

Another example

2 multiply(4+8) divide 2 - 1=
(4+8) divide 2 - 1=
2 multiply 12 divide 2 - 1 =
12 - 1 = 11
Brackets comes first because it's first on bedmas.

BEDMAS

B- brackets ( )

E- exponents

D- division

(In order from left to right)

M- multiplication x

A- addition +

(In order from left to right)

S- subtraction -

Q:

Annie has been asked to calculate 1.7 + 6 divided 2. She claims that the answer is 3.85. Do you agree?

EXPLAIN WHY OR WHY NOT!

I don't agree because she didn't use BEDMAS.

EXAMPLE

(2+3)-1=

Brackets come first come first because It's fist on Bedmas.

ANOTHER EXAMPLE

6-7x5=

Multiplication goes fist because It's before everything else if you use Bedmas.

HERE IS A VIDEO TO HELP!

Here is a LINK to help you out!

3 questions

1.Annie has been asked to calculate 1.7+6/2.She claims that the answer is 3.85.Do you agree/.Explain why or why not
I don't agree because if you use BEDMAS:
1.7+6/2
1.7+3
4.7

2.put brackets in the following expression to get the largest value possible.What problem solving strategy did you use? 3x2.8+6.4 ÷ 4
You can do it 2 ways:
(3x2.8)+6.4 ÷ 4
8.4+6.4 ÷4
8.4+ 1.6=
10
or
3x2.8+(6.4 ÷ 4)
3x2.8 1.6
8.4+ 1.6=
10
Here's a video that might help you!

3.Create a problem that could be solved using th following expression:2.5+1.25+5x 1.6
Jayne is on garage sale she saw a set of 2 plate and cup for 2.5.She saw a pencil case that have 5 unused eraser on it on it that cost 1.25.Then saw a pack of pencil that cost 1.6 then she buy 5 of them.Thetotal of things she bought $11.75

question

Older of operatins

the language of math.

B- brackets ( )

E- exponents

D- division (/)

(in older from left to right.)

M- multiplication

(in older from left to right.)

A- addition

S- subtraction

Question;

Annie has been asked to calculate 1.7 + 6 ÷ 2. She claims the answer is 3.85. Do you agree? Explain why or why not.

I Don't agree because the didn't use BEDMAS.

EXAMPLE.

2/4/2x6=

2+2x6=

2+12=

14=

here's the link to help you at home.

PICTURE LINK

Here's the VIDEO to help you.

---> http://www.youtube.com/watch?v=VvlhJ64ID9Q <----

Order of Operations

Bedmass :

B : Brackets ( )

E : Exponents

D : Division

M : Multiplication

A : Addition

S : Subtraction

Question 1 :

Annie has been asked to calculate 1.7 + 6/2 .

She claims the answer to be 3.85.

Do you agree ? Explain why or why not .

Answer :

Annie only got 3.85 because she didn't use BEDMASS.

She got the answer 3.85 this way :

1.7 + 6 = 7.7

7.7/2 = 3.85

The real answer should have been :

1.7+6/2

6/2 = 3

1.7 + 3 = 4.7

Question 2 :

Put the brackets in the following expression to get the largest value possible .

What problem solving strategy did you use ?

Answer :

I have put the brackets between in the question like this : ( 3 x 2.8 ) + 6.4/4 =

The answer would be 10 which is the largest value you can get !

I have used BEDMASS to solve this problem .

Question 3 :

Create a problem that could be solved using the following expression :

2.5 + 1.25 + 5 x 1.6

Answer :

John is selling pie for her class fundraiser.

One small pie is $ 2.5.

But if you buy 2 pies you can get them for $ 1.25.

And also john has a sign that says :

If you buy 3 pies you get them for $1.6.

Five people came and each got 3 pies each.

If you still need a little More help then her is a link

And her is a link to a video to show you more about BEDMASS

Also her is a picture to show you guys and girls how BEDMASS works :