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Today we will compute a given percent as a part of a whole number.

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Presentation on theme: "Today we will compute a given percent as a part of a whole number."— Presentation transcript:

1 Today we will compute a given percent as a part of a whole number.
compute – figure out an answer using math percent – per one hundred (100) whole number –numbers that start with zero and have no decimals or fractions Concept

2 When you take a test your score is shown as a percent
When you take a test your score is shown as a percent. For example, lets say you take a math test that has 100 questions on it. If you score 70%, the number of answers correct is 70. APK

3 Percent Percent means per hundred. It is another way of saying, “out of one hundred.” CD

4 Whole Numbers Whole Numbers are numbers that start with zero and do not have decimals or fractions. CD

5 I have read 95% of the books out of my 100-book- collection.
CD

6 How to compute a given percent of a whole number.
1. When you see a percent problem you know when you read “of” in the problem you multiply. 2. Change your percent to a decimal and then move it two places to the left. 3. Multiply just like a regular decimal multiplication problem. Place the decimal point 2 places to the left in your answer.

7 How to Find the Percent of a Whole Number
The first thing to remember is “of” means multiply in mathematics. of x = Copyright © 2000 by Monica Yuskaitis

8 How to Find the Percent of a Whole Number
Step 1 - When you see a percent problem you know when you read “of” in the problem you multiply. x 25% of 200 Copyright © 2000 by Monica Yuskaitis

9 How to Find the Percent of a Whole Number
Step 2 – Change your percent to a decimal and then move it two places to the left. . . 25% x 200 Copyright © 2000 by Monica Yuskaitis

10 How to Find the Percent of a Whole Number
Step 3 – Multiply just like a regular decimal multiplication problem. 200 x . 25 1000 +400 5000 Copyright © 2000 by Monica Yuskaitis

11 How to Find the Percent of a Whole Number
Step 4 – Place the decimal point 2 places to the left in your answer. 200 x . 25 1000 +400 . 5000 Copyright © 2000 by Monica Yuskaitis

12 What is the percent of this number?
. 20 % of 820 . x 820 1. When you see a percent problem you know when you read “of” in the problem you multiply. 2. Change your percent to a decimal and then move it two places to the left. 3. Multiply just like a regular decimal multiplication problem. Place the decimal point 2 places to the left in your answer. x . 20 000 +1640 . 16400 Copyright © 2000 by Monica Yuskaitis

13 What is the percent of this number?
. x 40 % of 725 . 1 2 725 1. When you see a percent problem you know when you read “of” in the problem you multiply. 2. Change your percent to a decimal and then move it two places to the left. 3. Multiply just like a regular decimal multiplication problem. Place the decimal point 2 places to the left in your answer. x . 40 000 +2900 . 29000 Copyright © 2000 by Monica Yuskaitis

14 Multiply the decimal equivalent of the percent with the whole number
Multiply the decimal equivalent of the percent with the whole number. 75% of 4 2 .75 4 1. When you see a percent problem you know when you read “of” in the problem you multiply. 2. Change your percent to a decimal and then move it two places to the left. 3. Multiply just like a regular decimal multiplication problem. Place the decimal point 2 places to the left in your answer. x 3 0 .

15 .50 12 x 1 0 + 5 . 6 00 6 What is 50% of a dozen(12)? 50% = ½ = .50
50% = ½ = .50 Therefore: (dozen) 12 X = .50 6 12 x 1 0 + 5 . 6 00

16 .40 20 x + 8 . 8 00 8 What is 40% of 20? 40% = 40/100 = .40 Therefore:
40% = 40/100 = .40 Therefore: 20 X = .40 8 20 x + 8 . 8 00

17 What is 3% of 36? 3% = 3/100 = .03 Therefore: 36 X = 1 .03 1.08 36 x 1 8 + 9 . 1 08

18 Why is understanding percent of a whole number important?
You will know the relationship between any whole number and a percent. You will know how a percent translates into decimals. What are other reasons why it is important to know how to understand IMP

19 What is 4% of 56? 4% = 4/100 = .04 Therefore: 56 X = 2.24 2 .04 1. When you see a percent problem you know when you read “of” in the problem you multiply. 2. Change your percent to a decimal and then move it two places to the left. 3. Multiply just like a regular decimal multiplication problem. Place the decimal point 2 places to the left in your answer. 56 x 2 4 + 2 . 2 24

20 What is 12% of 144? 12% = 12/100 = .12 Therefore: 144 X = 17.28 .12 144 1. When you see a percent problem you know when you read “of” in the problem you multiply. 2. Change your percent to a decimal and then move it two places to the left. 3. Multiply just like a regular decimal multiplication problem. Place the decimal point 2 places to the left in your answer. x 4 8 4 8 + 1 2 . 17 28

21 0.10 10% What does percent mean? How do you write as a decimal?
Let’s review what we learned about computing a given percent as a part of a whole number? “out of a hundred” What does percent mean? How do you write as a decimal? How do you compute a given percent as a part of a whole number? 10% 0.10 Multiply the whole number with the decimal equivalent of the percent.


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