## Wednesday, December 13, 2006

### James C's Growing Post*

*work in progress

PERCENTAGE:

Question 1

What is a good definition of percentage? You should use words, symbols, pictures, and numerical samples in your definition.

Here is a good definition of percentage:

Question 2

How are three fifths (3/5), 3:2, 60% and 0.6 all the same? Use pictures and words to show your answer.

3/5, 3:2, 60%, and 0.6 are all the same because they are all equivalents.

Ratio: Keep the numerator as pt. 1, and subtract the numerator from the denominator for pt. 2:3:(5-3=)2

Percentage: Divide numerator by the denominator, then multiply by 100:
3/5=0.6
0.6 x 100 = 60%

Decimal: You take your percentage, then divide it by 100:60% / 100 = 0.6

Question 3

Show 3 different ways to find 35% of 80.

Way 1:
Divide 80 by 100, which gives you 0.8.
Then multiply 0.8 by the desired percentage, 35.
It gives you an answer of 28, so 28 is 35% of 80.

Way 2:
Take your total, 100%, and divide it by 80. It gives you 1%, 0.8.
Multiply 0.8 by the desired percentage, 35.
You get 28, which is 35% of 80.

Way 3:
The fraction 28/80 is equal to the fraction 35/100.
28 divided by 80 = 0.35
35 divided by 100 = 0.35

Question 4

http://linden8z.blogspot.com/2006/11/percentages-real-deal.html

This was a very good post. It basically taught everything about percentage, such as what the word "percentage" means, how to reduce a percentage.
I recommend that anyone who is looking for information on percentage for the first time should check out this post. It's very easy to follow, and contains a lot of information.

Question 5
The principal announced that 50% of the children in Ms. Stanzi's class met their reading goal for the month and that 55% of the children in Ms Lowrey's class met their reading goal for the month. Ms Stanzi said that a greater number of her students met their reading goal. Could Ms Stanzi be correct? Why or Why not.

The answer to this question depends on how many students are in each class. It would be true if both classes had the same number of students, however if Ms Stanzi had 35 students in her class, and Ms Lowrey had 30, it would be false:

Ms. Stanzi
50% / 100 = 0.5
0.5 x 35 = 17.5

Ms. Lowrey
55% / 100 = 0.55
0.55 x 30 = 16.5

Question 6

Use a hundred grid (unit square) to illustrate the following questions. Once you have explained and illustrated what the question means, solve it.

A. 16 is 40% of what number?

• 40% of 100 = 40
• 40 / 100 = 0.4
• 16 x 0.4 = 40
• 40 / 100 = 16/40

You divide 40 by 100, getting 0.4. Then multiply 0.4 by 16, the starting number.

B. What is 120% of 30?

120% of 100 = 120

• 120 / 100 = 1.2
• 30 x 1.2 = 36
• 120/100 = 36/30
• You compute 120% of 100 first, 120. Divide 120 / 100, answer is 1.2. Then multiply 1.2 by the whole number, 30. It gives you a final answer of 30/36.

#### 1 comment:

the▫celery▫stalks▫at▫midnight said...

Yeeaahhh.... umm... sorry about that last bit, I was trying to put in a gliffy using HTML, but I messed it up and deleted it wrong. Now the last half of the last question is a hyperlink that takes you to a absolutely useless 404.