Arithmetic Operations and Integer Concepts
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Questions and Answers

What is the total distance Nora jogs on Tuesday if she jogs 4 1/2 miles on Monday and 1 1/2 miles fewer on Tuesday?

  • 5 miles
  • 2 miles
  • 3 miles
  • 3 1/2 miles (correct)
  • How deep is the deep end of the swimming pool if the shallow end is 3.75 feet and it is 5.75 feet deeper?

  • -8.5 feet
  • -9.5 feet (correct)
  • -10.5 feet
  • -7.5 feet
  • If a T-shirt costs $24.25 and this week it costs $5.95 less, what is this week's cost?

  • $20.30
  • $22.30
  • $18.30 (correct)
  • $19.20
  • Evaluate the expression $4.7 + (-7.2 - (-3.4)$. What is the result?

    <p>1.9</p> Signup and view all the answers

    What is the sign of the product for the expression $-62 imes 83$?

    <p>Negative</p> Signup and view all the answers

    Calculate the product of $(-4)(7)(-2)$.

    <p>56</p> Signup and view all the answers

    When Denise makes 21 quarts of ice cream and uses containers that hold 1 3/4 quarts, how many containers does she need?

    <p>12</p> Signup and view all the answers

    If the cost of the T-shirt drops from $24.25 to what calculation leads to $18.30?

    <p>$24.25 - 5.95</p> Signup and view all the answers

    If a diver is at an elevation of -18 feet and descends another 16 feet, what is the diver's new position?

    <p>-34</p> Signup and view all the answers

    After depositing $200 and paying $250 in rent, then incurring a $50 overdraft fee and depositing a $400 paycheck, how much does Russell have in his account?

    <p>300</p> Signup and view all the answers

    What is the result of evaluating the expression $6 - (-8)$?

    <p>14</p> Signup and view all the answers

    If the greatest temperature in the United States was recorded at -178 feet and in Africa at 545 feet above that, what is the elevation of the highest recorded temperature in Africa?

    <p>723</p> Signup and view all the answers

    What is the sum of $ -18 + 12 $?

    <p>-6</p> Signup and view all the answers

    If you have $6/4 - 2/3$, which of the following is closest to the correct evaluation?

    <p>0.52</p> Signup and view all the answers

    Study Notes

    Arithmetic Operations

    • Addition: Combine values. Use number lines to visualize.
    • Subtraction: Find the difference between values. Use number lines to visualize.
    • Multiplication: Repeated addition.
    • Division: Repeated subtraction.
    • Order of Operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (left to right), Addition and Subtraction (left to right).

    Integer Operations

    • Addition of Integers: Positive plus positive = positive; Positive plus negative = subtract and use the sign of the larger one
    • Subtraction of Integers: Change subtraction to addition of the opposite.
    • Multiplication/Division of Integers: Positive times/divided by positive = positive Positive times/divided by negative = negative Negative times/divided by positive = negative Negative times/divided by negative = positive

    Real-World Applications

    • Problem Solving: Apply operations to solve word problems involving money, measurements, time, etc.
    • Number Lines: Visual aids to represent values and solve problems.
    • Word Problems: Real-world scenarios requiring calculations.

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    Description

    This quiz covers essential arithmetic operations such as addition, subtraction, multiplication, and division. It also includes integer operations and the order of operations (PEMDAS/BODMAS). Test your understanding of how to apply these concepts in real-world problem-solving scenarios.

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