# 5.1 Decimals  (Page 7/8)

 Page 7 / 8

Thirteen and three hundred ninety-five ten thousandths

13.0395

Thirty and two hundred seventy-nine thousandths

Convert Decimals to Fractions or Mixed Numbers

In the following exercises, convert each decimal to a fraction or mixed number.

$1.99$

$1\frac{99}{100}$

$5.83$

$15.7$

$15\frac{7}{10}$

$18.1$

$0.239$

$\frac{239}{1000}$

$0.373$

$0.13$

$\frac{13}{100}$

$0.19$

$0.011$

$\frac{11}{1000}$

$0.049$

$-0.00007$

$-\frac{7}{100000}$

$-0.00003$

$6.4$

$6\frac{2}{5}$

$5.2$

$7.05$

$7\frac{1}{20}$

$9.04$

$4.006$

$4\frac{3}{500}$

$2.008$

$10.25$

$10\frac{1}{4}$

$12.75$

$1.324$

$1\frac{81}{250}$

$2.482$

$14.125$

$14\frac{1}{8}$

$20.375$

Locate Decimals on the Number Line

In the following exercises, locate each number on a number line.

$0.8$

$0.3$

$-0.2$

$-0.9$

$3.1$

$2.7$

$-2.5$

$-1.6$

Order Decimals

In the following exercises, order each of the following pairs of numbers, using $<\phantom{\rule{0.2em}{0ex}}\text{or}\phantom{\rule{0.2em}{0ex}}>.$

$0.9__0.6$

>

$0.7__0.8$

$0.37__0.63$

<

$0.86__0.69$

$0.6__0.59$

>

$0.27__0.3$

$0.91__0.901$

>

$0.415__0.41$

$-0.5__-0.3$

<

$-0.1_-0.4$

$-0.62_-0.619$

<

$-7.31_-7.3$

Round Decimals

In the following exercises, round each number to the nearest tenth.

$0.67$

0.7

$0.49$

$2.84$

2.8

$4.63$

In the following exercises, round each number to the nearest hundredth.

$0.845$

0.85

$0.761$

$5.7932$

5.79

$3.6284$

$0.299$

0.30

$0.697$

$4.098$

4.10

$7.096$

In the following exercises, round each number to the nearest hundredth tenth whole number.

$5.781$

1. 5.78
2. 5.8
3. 6

$1.638$

$63.479$

1. 63.48
2. 63.5
3. 63

$84.281$

## Everyday math

Salary Increase Danny got a raise and now makes $\text{58,965.95}$ a year. Round this number to the nearest:

dollar

thousand dollars

ten thousand dollars.

1. $58,966 2.$59,000
3. $60,000 New Car Purchase Selena’s new car cost $\text{23,795.95}.$ Round this number to the nearest: dollar thousand dollars ten thousand dollars. Sales Tax Hyo Jin lives in San Diego. She bought a refrigerator for $\text{1624.99}$ and when the clerk calculated the sales tax it came out to exactly $\text{142.186625}.$ Round the sales tax to the nearest penny dollar. 1.$142.19
2. $142 Sales Tax Jennifer bought a $\text{1,038.99}$ dining room set for her home in Cincinnati. She calculated the sales tax to be exactly $\text{67.53435}.$ Round the sales tax to the nearest penny dollar. ## Writing exercises How does your knowledge of money help you learn about decimals? Answers will vary. Explain how you write “three and nine hundredths” as a decimal. Jim ran a $100-meter$ race in $\text{12.32 seconds}.$ Tim ran the same race in $\text{12.3 seconds}.$ Who had the faster time, Jim or Tim? How do you know? Tim had the faster time. 12.3 is less than 12.32, so Tim had the faster time. Gerry saw a sign advertising postcards marked for sale at $“10\phantom{\rule{0.2em}{0ex}}\text{for}\phantom{\rule{0.2em}{0ex}}0.99\text{¢.”}$ What is wrong with the advertised price? ## Self check After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section. If most of your checks were: …confidently. Congratulations! You have achieved the objectives in this section. Reflect on the study skills you used so that you can continue to use them. What did you do to become confident of your ability to do these things? Be specific. …with some help. This must be addressed quickly because topics you do not master become potholes in your road to success. In math, every topic builds upon previous work. It is important to make sure you have a strong foundation before you move on. Who can you ask for help? Your fellow classmates and instructor are good resources. Is there a place on campus where math tutors are available? Can your study skills be improved? …no—I don’t get it! This is a warning sign and you must not ignore it. You should get help right away or you will quickly be overwhelmed. See your instructor as soon as you can to discuss your situation. Together you can come up with a plan to get you the help you need. #### Questions & Answers Is there any normative that regulates the use of silver nanoparticles? Damian Reply what king of growth are you checking .? Renato What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ? Stoney Reply why we need to study biomolecules, molecular biology in nanotechnology? Adin Reply ? Kyle yes I'm doing my masters in nanotechnology, we are being studying all these domains as well.. Adin why? Adin what school? Kyle biomolecules are e building blocks of every organics and inorganic materials. Joe anyone know any internet site where one can find nanotechnology papers? Damian Reply research.net kanaga sciencedirect big data base Ernesto Introduction about quantum dots in nanotechnology Praveena Reply what does nano mean? Anassong Reply nano basically means 10^(-9). nanometer is a unit to measure length. Bharti do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment? Damian Reply absolutely yes Daniel how to know photocatalytic properties of tio2 nanoparticles...what to do now Akash Reply it is a goid question and i want to know the answer as well Maciej characteristics of micro business Abigail for teaching engĺish at school how nano technology help us Anassong Do somebody tell me a best nano engineering book for beginners? s. Reply there is no specific books for beginners but there is book called principle of nanotechnology NANO what is fullerene does it is used to make bukky balls Devang Reply are you nano engineer ? s. fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball. Tarell what is the actual application of fullerenes nowadays? Damian That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes. Tarell what is the Synthesis, properties,and applications of carbon nano chemistry Abhijith Reply Mostly, they use nano carbon for electronics and for materials to be strengthened. Virgil is Bucky paper clear? CYNTHIA carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc NANO so some one know about replacing silicon atom with phosphorous in semiconductors device? s. Reply Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure. Harper Do you know which machine is used to that process? s. how to fabricate graphene ink ? SUYASH Reply for screen printed electrodes ? SUYASH What is lattice structure? s. Reply of graphene you mean? Ebrahim or in general Ebrahim in general s. Graphene has a hexagonal structure tahir On having this app for quite a bit time, Haven't realised there's a chat room in it. Cied what is biological synthesis of nanoparticles Sanket Reply how did you get the value of 2000N.What calculations are needed to arrive at it Smarajit Reply Privacy Information Security Software Version 1.1a Good A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place. Kimberly Reply Jeannette has$5 and \$10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
What is the expressiin for seven less than four times the number of nickels
How do i figure this problem out.
how do you translate this in Algebraic Expressions
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?