3.3 Subtract integers  (Page 5/6)

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One day, John hiked to the $10,023 foot$ summit of Haleakala volcano in Hawaii. The next day, while scuba diving, he dove to a cave $80 feet$ below sea level. What is the difference between the elevation of the summit of Haleakala and the depth of the cave?

10,103 feet

The submarine Nautilus is at $340 feet$ below the surface of the water and the submarine Explorer is $573 feet$ below the surface of the water. What is the difference in the position of the Nautilus and the Explorer?

233 feet

Managing your money can involve both positive and negative numbers. You might have overdraft protection on your checking account. This means the bank lets you write checks for more money than you have in your account (as long as they know they can get it back from you!)

Leslie has $\text{25}$ in her checking account and she writes a check for $\text{8.}$

1. What is the balance after she writes the check?
2. She writes a second check for $\text{20.}$ What is the new balance after this check?
3. Leslie’s friend told her that she had lost a check for $\text{10}$ that Leslie had given her with her birthday card. What is the balance in Leslie’s checking account now?

Solution

 ⓐ What are we asked to find? The balance of the account Write a phrase. $25$ minus $8$ Translate Simplify. Write a sentence answer. The balance is $17$ .
 ⓑ What are we asked to find? The new balance Write a phrase. $17$ minus $20$ Translate Simplify. Write a sentence answer. She is overdrawn by $3$ .
 ⓒ What are we asked to find? The new balance Write a phrase. $10$ more than $-3$ Translate Simplify. Write a sentence answer. The balance is now $7$ .

Araceli has $\text{75}$ in her checking account and writes a check for $\text{27}.$

1. What is the balance after she writes the check?
2. She writes a second check for $\text{50}.$ What is the new balance?
3. The check for $\text{20}$ that she sent a charity was never cashed. What is the balance in Araceli’s checking account now?

1. $48 2. −$2
3. $18 Genevieve’s bank account was overdrawn and the balance is $-\text{78}.$ 1. She deposits a check for $\text{24}$ that she earned babysitting. What is the new balance? 2. She deposits another check for $\text{49}.$ Is she out of debt yet? What is her new balance? 1. −$54
2. No, −$5 Key concepts • Subtraction of Integers  5 – 3 –5 – (–3) 2 –2 2 positives 2 negatives When there would be enough counters of the color to take away, subtract. –5 – 3 5 – (–3) –8 8 5 negatives, want to subtract 3 positives 5 positives, want to subtract 3 negatives need neutral pairs need neutral pairs • Subtraction Property • $a-b=a+\left(\mathit{\text{−b}}\right)$ • $a-\left(\mathrm{-b}\right)=a+b$ • Solve Application Problems • Step 1. Identify what you are asked to find. • Step 2. Write a phrase that gives the information to find it. • Step 3. Translate the phrase to an expression. • Step 4. Simplify the expression. • Step 5. Answer the question with a complete sentence. Practice makes perfect Model Subtraction of Integers In the following exercises, model each expression and simplify. Questions & Answers 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 Do somebody tell me a best nano engineering book for beginners? s. Reply 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 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 what's the easiest and fastest way to the synthesize AgNP? Damian Reply China Cied types of nano material abeetha Reply I start with an easy one. carbon nanotubes woven into a long filament like a string Porter many many of nanotubes Porter what is the k.e before it land Yasmin what is the function of carbon nanotubes? Cesar I'm interested in nanotube Uday what is nanomaterials​ and their applications of sensors. Ramkumar Reply what is nano technology Sravani Reply what is system testing? AMJAD preparation of nanomaterial Victor Reply Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it... Himanshu Reply good afternoon madam AMJAD what is system testing AMJAD what is the application of nanotechnology? Stotaw In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google Azam anybody can imagine what will be happen after 100 years from now in nano tech world Prasenjit after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments Azam name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world Prasenjit how hard could it be to apply nanotechnology against viral infections such HIV or Ebola? Damian silver nanoparticles could handle the job? Damian not now but maybe in future only AgNP maybe any other nanomaterials Azam Hello Uday I'm interested in Nanotube Uday this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15 Prasenjit 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 Berger describes sociologists as concerned with Mueller 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
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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?