Math Gr 8 Ch 2: Calculations with Integers
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Questions and Answers

What is the result when a number is added to its additive inverse?

  • The additive inverse
  • 1
  • 0 (correct)
  • -1

    • What is the effect of adding a positive integer?

  • It depends on the situation
  • It has no effect on the value
  • It increases the value (correct)
  • It decreases the value

    • What is the product of a positive and a negative integer?

  • Always 0
  • Depends on the situation
  • Always positive
  • Always negative (correct)

    • What is the effect of subtracting a negative integer?

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

    What is the property of multiplication that allows flexibility in computation?

    <p>Commutative Property</p> Signup and view all the answers

    What is the result of the multiplication of two negative integers?

    <p>Always positive</p> Signup and view all the answers

    What is the effect of adding a negative integer?

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

    What is the difference between an open number sentence and a closed number sentence?

    <p>A closed number sentence has all numbers known, while an open number sentence has unknown numbers</p> Signup and view all the answers

    What is the purpose of the Commutative Property of Addition?

    <p>It allows flexibility in computation and simplification</p> Signup and view all the answers

    What is the effect of subtracting a positive integer?

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

    What is the result of subtracting a negative integer from a positive integer?

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

    What is the product of two negative integers?

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

    What is the absolute value of -5?

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

    What is the result of adding a negative integer and a positive integer with the same absolute value?

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

    What is the cube of a negative integer?

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

    What is the result of multiplying two positive integers?

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

    What is the result of dividing a positive integer by a negative integer?

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

    What is the square of a negative integer?

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

    What is the value of the expression $a + (-a)$?

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

    Which of the following is true about the cube root of a negative integer?

    <p>It is always negative.</p> Signup and view all the answers

    What is the result of multiplying a positive integer and a negative integer?

    <p>Always negative</p> Signup and view all the answers

    What is the purpose of the Distributive Property of Multiplication?

    <p>To allow flexibility in computation</p> Signup and view all the answers

    What is the result of subtracting a negative integer from a positive integer?

    <p>A larger positive integer</p> Signup and view all the answers

    What is the difference between the Commutative Property of Addition and the Associative Property of Addition?

    <p>One deals with the order of numbers and the other with the grouping of numbers</p> Signup and view all the answers

    What is the result of dividing a positive integer by a positive integer?

    <p>Always a positive integer</p> Signup and view all the answers

    What is the result of adding a positive integer and a negative integer with the same absolute value?

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

    What is the purpose of the Commutative Property of Multiplication?

    <p>To allow flexibility in the order of multiplication</p> Signup and view all the answers

    What is the result of multiplying a negative integer by a negative integer?

    <p>Always a positive integer</p> Signup and view all the answers

    What happens when you add a negative integer to a positive integer?

    <p>The result is the difference between the two integers</p> Signup and view all the answers

    What is the result of multiplying two integers with the same sign?

    <p>The result is always positive</p> Signup and view all the answers

    What is the absolute value of an integer?

    <p>The distance between the number and zero on the number line</p> Signup and view all the answers

    What is the result of subtracting a positive integer from another positive integer?

    <p>The result is the difference between the two integers</p> Signup and view all the answers

    What is the result of dividing a negative integer by a positive integer?

    <p>The result is always negative</p> Signup and view all the answers

    What is the result of multiplying a positive integer by a negative integer?

    <p>The result is always negative</p> Signup and view all the answers

    What is the cube of a positive integer?

    <p>Always positive</p> Signup and view all the answers

    What is the square of a zero?

    <p>Always zero</p> Signup and view all the answers

    Which of the following statements about cube roots is NOT true?

    <p>The cube root of a positive integer can be negative.</p> Signup and view all the answers

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

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

    Which property allows us to add integers in any order?

    <p>Commutative Property of Addition</p> Signup and view all the answers

    What is the result of multiplying an integer by its multiplicative inverse?

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

    Which of the following is an example of an open number sentence?

    <p>x + 2 = 5</p> Signup and view all the answers

    What is the result of adding a positive integer and its additive inverse?

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

    Which property of multiplication allows us to multiply integers in any order?

    <p>Commutative Property of Multiplication</p> Signup and view all the answers

    What is the result of subtracting a negative integer from another negative integer?

    <p>A positive integer</p> Signup and view all the answers

    Which of the following is a multiplication rule?

    <p>The product of two negative integers is positive.</p> Signup and view all the answers

    What is the result of multiplying an integer by -1?

    <p>The additive inverse of the original integer</p> Signup and view all the answers

    What is the result of adding two integers with the same sign?

    <p>The sum has the same sign as the integers</p> Signup and view all the answers

    What is the result of multiplying two integers with different signs?

    <p>The product is always negative</p> Signup and view all the answers

    What is the absolute value of an integer?

    <p>The distance between the number and 0 on the number line</p> Signup and view all the answers

    What is the result of subtracting a negative integer from a positive integer?

    <p>The difference is always positive</p> Signup and view all the answers

    What is the result of dividing a positive integer by a negative integer?

    <p>The quotient is always negative</p> Signup and view all the answers

    What is the cube of a negative integer?

    <p>Always negative</p> Signup and view all the answers

    What is the result of adding two integers with different signs, where the positive integer has a larger absolute value?

    <p>The sum has the sign of the integer with the larger absolute value</p> Signup and view all the answers

    What is the result of multiplying two negative integers?

    <p>The product is always positive</p> Signup and view all the answers

    What is the result of multiplying an integer by its additive inverse?

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

    What is the effect of subtracting a negative integer from a negative integer?

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

    What is the result of multiplying two integers with the same sign?

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

    What is the absolute value of an integer?

    <p>The distance between the number and zero on the number line</p> Signup and view all the answers

    What is the result of adding a positive integer and a negative integer with the same absolute value?

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

    What is the result of dividing a negative integer by a negative integer?

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

    What is the cube of a negative integer?

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

    What is the result of subtracting a negative integer from zero?

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

    What is the result of multiplying a positive integer by the additive inverse of another positive integer?

    <p>A negative integer</p> Signup and view all the answers

    What is the result of subtracting the additive inverse of a positive integer from itself?

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

    What is the effect of adding a negative integer to a positive integer with the same absolute value?

    <p>The result is zero</p> Signup and view all the answers

    What is the result of multiplying two negative integers with different absolute values?

    <p>A positive integer</p> Signup and view all the answers

    What is the result of subtracting a positive integer from its additive inverse?

    <p>Two times the positive integer</p> Signup and view all the answers

    What is the result of adding a positive integer and its additive inverse to another positive integer?

    <p>The original positive integer</p> Signup and view all the answers

    What is the result of multiplying a positive integer by the multiplicative inverse of another positive integer?

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

    What is the result of subtracting the multiplicative inverse of a positive integer from one?

    <p>The multiplicative inverse of the original positive integer</p> Signup and view all the answers

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

    <p>The result is zero</p> Signup and view all the answers

    What is the result of multiplying two positive integers with different values?

    <p>A positive integer</p> Signup and view all the answers

    What is the result of adding a positive integer and a negative integer with different absolute values?

    <p>The result has the same sign as the integer with the larger absolute value.</p> Signup and view all the answers

    What is the result of multiplying a positive integer and a negative integer?

    <p>The result is always negative.</p> Signup and view all the answers

    What is the result of dividing a negative integer by a negative integer?

    <p>The result is always positive.</p> Signup and view all the answers

    What is the result of subtracting a positive integer from a negative integer?

    <p>The result is always negative.</p> Signup and view all the answers

    What is the result of multiplying a negative integer by -1?

    <p>The result is a positive integer.</p> Signup and view all the answers

    What is the absolute value of an integer?

    <p>The distance between the number and zero on the number line.</p> Signup and view all the answers

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

    <p>The result is always zero.</p> Signup and view all the answers

    What is the result of multiplying two positive integers?

    <p>The result is always positive.</p> Signup and view all the answers

    What is the result of subtracting a negative integer from its additive inverse?

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

    Which of the following statements about integer operations is true?

    <p>Integers can be added and subtracted in any order</p> Signup and view all the answers

    What is the result of multiplying an integer by its multiplicative inverse?

    <p>1</p> Signup and view all the answers

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

    <p>2 + 3 = 5</p> Signup and view all the answers

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

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

    Which property of multiplication allows us to multiply integers in any order?

    <p>Commutative Property</p> Signup and view all the answers

    What is the result of adding a positive integer and its additive inverse?

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

    Which of the following statements about square roots is true?

    <p>The square root of a positive integer has a positive and a negative value</p> Signup and view all the answers

    What is the result of multiplying an integer by -1?

    <p>The additive inverse of the integer</p> Signup and view all the answers

    Which property allows us to add integers in any order?

    <p>Commutative Property of Addition</p> Signup and view all the answers

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