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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

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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

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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 $25 in her checking account and she writes a check for $8.

  1. What is the balance after she writes the check?
  2. She writes a second check for $20. What is the new balance after this check?
  3. Leslie’s friend told her that she had lost a check for $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 .
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Araceli has $75 in her checking account and writes a check for $27 .

  1. What is the balance after she writes the check?
  2. She writes a second check for $50 . What is the new balance?
  3. The check for $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
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Genevieve’s bank account was overdrawn and the balance is $78 .

  1. She deposits a check for $24 that she earned babysitting. What is the new balance?
  2. She deposits another check for $49 . Is she out of debt yet? What is her new balance?

  1. −$54
  2. No, −$5

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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 + ( −b )
    • a ( −b ) = 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

I'm interested in biological psychology and cognitive psychology
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Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
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Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
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A child is a member of community not society elucidate ?
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Isn't practices worldwide, be it psychology, be it science. isn't much just a false belief of control over something the mind cannot truly comprehend?
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compare and contrast skinner's perspective on personality development on freud
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Skinner skipped the whole unconscious phenomenon and rather emphasized on classical conditioning
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explain how nature and nurture affect the development and later the productivity of an individual.
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nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
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I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
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interpersonal relationships
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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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