View by Category

Loading...

PPT – Decimals, Ratio, Proportion and Percent PowerPoint presentation | free to download

The Adobe Flash plugin is needed to view this content

About This Presentation

Write a Comment

User Comments (0)

Transcript and Presenter's Notes

Chapter 7

- Decimals, Ratio, Proportion and Percent

7.1 Decimals

- Decimals are used to represent fractions in our

base ten place-value notation.

1000

100

10

1

1/10

1/100

1/1000

3

4

5

7

9

6

8

thousands

hundreds

tens

ones

tenths

hundredths

thousandths

- Write 3457.968 in expanded form

Write 978.314 in expanded form

- Theorem Let be a fraction in simplest form.
- Then has a terminating decimal

representation - if and only if b contains only 2s and/or 5s in

its - prime factorization.

Ordering Decimals

- Terminating decimals can be compared using a

hundreds square, using a number line, by

comparing them in their fraction form, or by

comparing place values one at a time from left to

right just as we compare whole numbers.

Multiplying or Dividing by Powers of 10

- Theorem Let n be any decimal number and m

represent any nonzero whole number. - Multiplying a number n by 10m is equivalent to

forming a new number by moving the decimal point

of n to the right m places. - Dividing a number n by 10m is equivalent to

forming a new number by moving the decimal point

of n to the left m places.

7.2 Operations with Decimals

- Addition and Subtraction requires the numbers to

be aligned at the decimal point, add or subtract

the numbers as if they were whole numbers, and

insert a decimal point directly below the numbers

being added or subtracted.

Multiplication of Decimals

- Perform multiplication as if the decimal point

were not there. Insert a decimal point in the

answer as follows The number of digits to the

right of the decimal point in the answer is the

sum of the number of digits to the right of the

decimal points in the numbers being multiplied.

Division of Decimals

- Multiply both the divisor and dividend by the

power of ten necessary to result in the divisor

being a whole number.

Repeating Decimals

Theorem Let be a fraction in simplest

form. Then has a repeating decimal

representation that does not terminate if and

only if b has a prime factor other than 2 or 5.

7.3 Ratios and Proportion

- Definition A ratio is an ordered pair of

numbers, written ab, with b not equal to 0. - Definition Equality of Ratios
- if and only if

Proportions

- Definition A proportion is a statement that two

given ratios are equal.

Rates

- Ratios involving different units are called

rates. - Examples miles per hour, miles per gallon,

cents per ounce, dollars per pound, etc.

Example 7.21 Adams School orders 3 cartons of

chocolate milk for every 7 students. If there

are 581 students in the school, how many cartons

of chocolate milk should be ordered?

n cartons to be ordered

Step 1 Define your variable.

- Step 2 Set up a proportion.

Step 3 Cross multiply and solve.

The school needs to order 249 cartons of

chocolate milk.

- Example 7.24 In a scale drawing, 0.5 centimeter

represents 35 miles. How many miles will 4

centimeters represent?

n of miles

Step 1 Define your variable.

Step 2 Set up a proportion.

Step 3 Cross multiply and solve.

Four centimeters represents 280 miles.

7.4 Percent

Percent means per hundred

Fractions

- Percents

Repeating Decimals

Conversions

Fraction Decimal Percent

Solving Percent Problems

- Grid Approach

Example 7.29a A car was purchased for 13000

with a 20 down payment. How much was the down

payment?

- Shade 20 out of the 100 squares (20)

100 squares 13000, so 1 square 130.

20 squares represent the down payment of

2600. 20 X 130 2600

Solving Percent Problems

- Proportion Approach
- Since percents can be written as ratios, percent

problems can be solved using proportions.

Ex 7.30a

The down payment was 2600.

Solving Percent Problems

- Equation Approach

Translation of Problem Equation

About PowerShow.com

PowerShow.com is a leading presentation/slideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use.

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

Recommended

«

/ »

Page of

«

/ »

Promoted Presentations

Related Presentations

Page of

Page of

CrystalGraphics Sales Tel: (800) 394-0700 x 1 or Send an email

Home About Us Terms and Conditions Privacy Policy Contact Us Send Us Feedback

Copyright 2015 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2015 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "Decimals, Ratio, Proportion and Percent" is the property of its rightful owner.

Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow.com. It's FREE!

Committed to assisting Spokane University and other schools with their online training by sharing educational presentations for free