# 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 what is variations in raman spectra for nanomaterials Jyoti Reply I only see partial conversation and what's the question here! Crow Reply what about nanotechnology for water purification RAW Reply please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment. Damian yes that's correct Professor I think Professor what is the stm Brian Reply is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.? Rafiq industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong Damian How we are making nano material? LITNING Reply what is a peer LITNING Reply What is meant by 'nano scale'? LITNING Reply What is STMs full form? LITNING scanning tunneling microscope Sahil how nano science is used for hydrophobicity Santosh Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq Rafiq what is differents between GO and RGO? Mahi what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq Rafiq what is Nano technology ? Bob Reply write examples of Nano molecule? Bob The nanotechnology is as new science, to scale nanometric brayan nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale Damian 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 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
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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?