Math Gr 8 Ch 4: Solving Problems
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Questions and Answers

What is the effect of adding a positive integer to another integer?

  • It increases the value (correct)
  • It decreases the value
  • It can either increase or decrease the value
  • It does not change the value

    • What is the result of adding an integer and its additive inverse?

  • Zero (correct)
  • An unknown value
  • A negative integer
  • A positive integer

    • Which property of integer operations states that the order of integers does not change the result?

  • Commutative Property of Addition (correct)
  • Distributive Property of Addition
  • Transitive Property of Addition
  • Associative Property of Addition

    • What is the effect of subtracting a positive integer from another integer?

    <p>It decreases the value</p> Signup and view all the answers

    What is the symbol used to indicate that one integer is greater than another?

    <p>&gt;</p> Signup and view all the answers

    What is the term for an equation where all the numbers are known?

    <p>Closed number sentence</p> Signup and view all the answers

    What is the effect of adding an integer to its additive inverse?

    <p>It does not change the value</p> Signup and view all the answers

    What is the term for determining the difference in height between a mountain and the surrounding ocean?

    <p>Difference in Height</p> Signup and view all the answers

    When subtracting a negative integer, what occurs to the value?

    <p>It increases the value.</p> Signup and view all the answers

    What is the purpose of the commutative and associative properties of integer operations?

    <p>To allow for the addition and subtraction of integers in any order.</p> Signup and view all the answers

    What is the result of adding an integer to its negative counterpart?

    <p>Zero.</p> Signup and view all the answers

    In a problem involving a temperature rise, what operation would be used to find the final temperature?

    <p>Addition.</p> Signup and view all the answers

    What is the purpose of using the symbol >?

    <p>To indicate that one integer is greater than another.</p> Signup and view all the answers

    What type of sentence is an equation where some numbers are not known initially?

    <p>Open number sentence.</p> Signup and view all the answers

    In a problem involving a diver's depth, what operation would be used to find the new depth?

    <p>Subtraction, if the diver moves towards the surface.</p> Signup and view all the answers

    What is the purpose of using additive inverses in integer operations?

    <p>To facilitate the addition and subtraction of integers.</p> Signup and view all the answers

    If a = 5 and b = -3, what is the result of a + b?

    <p>a + b = 2</p> Signup and view all the answers

    What is the result of subtracting 4 from -3?

    <p>-7</p> Signup and view all the answers

    If a = 2 and b = 5, what is the result of (a + b) + (-2)?

    <p>5</p> Signup and view all the answers

    What is the result of adding -2 to its additive inverse?

    <p>0</p> Signup and view all the answers

    If a = -3 and b = 2, what is the result of a + (b + (-3))?

    <p>-4</p> Signup and view all the answers

    What is the result of subtracting -2 from 5?

    <p>7</p> Signup and view all the answers

    If a = 4 and b = -2, what is the result of a + (-b)?

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

    What is the result of adding 3 to its additive inverse?

    <p>0</p> Signup and view all the answers

    Which of the following is a correct application of the commutative property of addition?

    <p>2 + 3 = 3 + 2</p> Signup and view all the answers

    What is the result of subtracting an additive inverse from an integer?

    <p>It increases the value by twice the original amount.</p> Signup and view all the answers

    Which of the following is an example of a closed number sentence?

    <p>4 + 2 = 6</p> Signup and view all the answers

    What is the relationship between the temperatures -5°C and 3°C?

    <p>-5°C is less than 3°C.</p> Signup and view all the answers

    What is the result of adding 2 and -3, and then adding 4 to the result?

    <p>5</p> Signup and view all the answers

    A diver is at a depth of -20 meters and descends a further 5 meters. What is the new depth?

    <p>-25 meters</p> Signup and view all the answers

    What is the difference between the heights of a mountain that is 2000 meters above sea level and the surrounding ocean that is -500 meters?

    <p>2500 meters</p> Signup and view all the answers

    If the minimum temperature is 5°C and it rises by 3°C, what is the maximum temperature?

    <p>8°C</p> Signup and view all the answers

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