Math Gr 8 Ch 2 SUM: Integers
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Questions and Answers

What happens when a negative integer is added to another integer?

  • The value remains the same
  • The value always increases
  • The value always decreases (correct)
  • The value may increase or decrease

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

  • The product is always negative (correct)
  • The product is always positive
  • The product can be positive or negative
  • The product is always zero

    • What is the absolute value of an integer?

  • The distance between the number and 10 on the number line
  • The distance between the number and 0 on the number line (correct)
  • The distance between the number and -1 on the number line
  • The distance between the number and 1 on the number line

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

    <p>The result is always smaller than the original integer</p> Signup and view all the answers

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

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

    What is the result of squaring a negative integer?

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

    What is the result of cubing a negative integer?

    <p>The result is always negative</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 adding a positive integer to its additive inverse?

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

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

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

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

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

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

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

    What is the property of multiplication that allows the order of numbers to be changed without affecting the product?

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

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

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

    What is the purpose of using the distributive property in multiplication?

    <p>To simplify the product</p> Signup and view all the answers

    What is the relationship between adding an integer and subtracting its additive inverse?

    <p>They have the same effect</p> Signup and view all the answers

    What is the result of multiplying two negative integers?

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

    What is the purpose of using the associative property in addition?

    <p>To simplify the sum</p> Signup and view all the answers

    What is the property of integers that states that changing the order of the numbers does not change the sum?

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

    What is the property of integers that states that changing the grouping of the numbers does not change the sum?

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

    What is the property of integers that states that multiplying a number by a sum of numbers is the same as multiplying each addend separately and then adding the products?

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

    What is the additive inverse of an integer?

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

    What is the result of adding two negative integers?

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

    What is the result of subtracting a larger integer from a smaller one?

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

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

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

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

    <p>A negative product</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 purpose of the additive inverse in integer operations?

    <p>To add the negative counterpart to the number</p> Signup and view all the answers

    What is the result of adding a positive integer to a negative integer?

    <p>It depends on the values of the integers</p> Signup and view all the answers

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

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

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

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

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

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

    What is the result of multiplying two negative integers?

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

    What is the result of squaring a negative integer?

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

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

    <p>It depends on the values of the integers</p> Signup and view all the answers

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

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

    What is the property of integers that allows the rearrangement of numbers in multiplication without changing the product?

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

    Which property of integers states that changing the grouping of numbers does not change the sum?

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

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

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

    What is the property of integers that allows multiplication to be distributed over addition?

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

    What is the result of adding zero to any integer?

    <p>The number does not change</p> Signup and view all the answers

    Which property of integers allows the flexibility to change the order of numbers in addition and subtraction?

    <p>Commutative Property</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 result of multiplying any integer by one?

    <p>The number does not change</p> Signup and view all the answers

    What is the additive inverse of an integer?

    <p>The negative counterpart of the number</p> Signup and view all the answers

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

    <p>To simplify calculations</p> Signup and view all the answers

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

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

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

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

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

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

    What is the result of finding the cube root of a negative integer?

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

    Which property of integers states that multiplying a number by a sum of numbers is the same as multiplying each addend separately and then adding the products?

    <p>Distributive Property</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>The sum is zero</p> Signup and view all the answers

    What is the purpose of using the associative property in multiplication?

    <p>To change the grouping of numbers</p> Signup and view all the answers

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

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

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

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

    What is the result of multiplying two negative integers?

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

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

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

    What is the product of two integers with the same sign?

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

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

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

    What is the square of a negative integer?

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

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

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

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

    <p>The result is always zero.</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 dividing a positive integer by a negative integer?

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

    What is the value of the square root of 16?

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

    What is the result of adding 5 to its additive inverse?

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

    What is the result of multiplying -3 by 2?

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

    What is the relationship between adding an integer and subtracting its additive inverse?

    <p>They have the same effect</p> Signup and view all the answers

    What is the purpose of the commutative property of addition?

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

    What is the result of subtracting -3 from 5?

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

    What is the result of dividing -6 by 2?

    <p>-3</p> Signup and view all the answers

    What is the property of integers that allows multiplication to be distributed over addition?

    <p>Distributive property</p> Signup and view all the answers

    What is the result of adding 3 to -3?

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

    What is the property of integers that states that changing the order of the numbers does not change the sum?

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

    What is the property of integers that states that changing the order of numbers does not change the sum?

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

    Which property of integers allows the flexibility to change the grouping of numbers in addition without changing the sum?

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

    What is the result of multiplying a number by its additive inverse?

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

    Which property of integers states that multiplying a number by a sum of numbers is the same as multiplying each addend separately and then adding the products?

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

    What is the property of integers that states that adding zero to any number does not change the value of that number?

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

    Which property of integers allows the rearrangement of numbers in multiplication without changing the product?

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

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

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

    Which property of integers states that multiplying any number by one does not change the value of that number?

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

    What is the property of integers that states that changing the order of numbers in multiplication does not change the product?

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

    Which property of integers allows the flexibility to change the grouping of numbers in multiplication without changing the product?

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

    What is the rule for multiplying two integers with different signs?

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

    What is the result of finding the square root of a negative integer?

    <p>The result is an imaginary number.</p> Signup and view all the answers

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

    <p>The result is the sum of the two integers.</p> Signup and view all the answers

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

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

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

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

    What is the result of finding the cube of a negative integer?

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

    What is the result of adding the additive inverses of two integers?

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

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

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

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

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

    What is the purpose of the distributive property in integer operations?

    <p>To allow the multiplication of an integer by a sum of integers</p> Signup and view all the answers

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

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

    Which property of integers allows the rearrangement of numbers in addition without changing the sum?

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

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

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

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

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

    Which property of integers allows the flexibility to change the order of numbers in multiplication without changing the product?

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

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

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

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

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

    Which of the following properties states that the order of the numbers in addition does not change the sum?

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

    What is the result of multiplying 3 and (2 + 5) using the distributive property?

    <p>3(2) + 3(5) = 21</p> Signup and view all the answers

    Which of the following statements is true about the identity properties of integers?

    <p>Adding 0 to any number does not change the number.</p> Signup and view all the answers

    What is the result of (2 + 3) + 4 using the associative property of addition?

    <p>(2 + 3) + 4 = 5 + 4 = 9</p> Signup and view all the answers

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

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

    Which of the following properties is used to simplify the multiplication of integers?

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

    What is the result of (2 × 3) × 4 using the associative property of multiplication?

    <p>(2 × 3) × 4 = 6 × 4 = 24</p> Signup and view all the answers

    What is the result of adding the additive inverse of 5 to 5?

    <p>5 + (-5) = 0</p> Signup and view all the answers

    Which of the following properties is used to rearrange the numbers in multiplication without changing the product?

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

    What is the result of adding 0 to any integer using the identity property of addition?

    <p>The number remains unchanged.</p> Signup and view all the answers

    What is the effect of multiplying a negative integer by its multiplicative inverse?

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

    Which property allows the rearrangement of numbers in multiplication without changing the product?

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

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

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

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

    <p>x = 9</p> Signup and view all the answers

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

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

    Which property of integers states that the order of the numbers can be changed when multiplying two or more numbers without affecting the product?

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

    Which property allows the flexibility to change the order of numbers in addition and subtraction?

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

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

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

    What is the purpose of the additive inverse in integer operations?

    <p>To find the sum of an integer and its opposite</p> Signup and view all the answers

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

    <p>2x + 5 = 11</p> Signup and view all the answers

    Which property of integers allows us to regroup numbers when adding three or more integers without changing the sum?

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

    What is the result of adding a negative integer to its additive inverse?

    <p>The result is always zero</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

    Which of the following is a consequence of the Distributive Property of Multiplication over Addition?

    <p>Multiplying a number by a sum is the same as multiplying each addend separately and then adding the products</p> Signup and view all the answers

    Which property states that multiplying a number by a sum of numbers is the same as multiplying each addend separately and then adding the products?

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

    What is the purpose of the Identity Properties in integer operations?

    <p>To leave the value of an integer unchanged</p> Signup and view all the answers

    Which property of integers allows multiplication to be distributed over subtraction?

    <p>Distributive Property of Multiplication over Subtraction</p> Signup and view all the answers

    What is the result of adding the additive inverse of an integer to itself?

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

    Which of the following is an example of the Associative Property of Addition?

    <p>$(a + b) + c = a + (b + c)$</p> Signup and view all the answers

    What is the result of multiplying an integer by zero?

    <p>Zero</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>The result depends on the specific integers being added.</p> Signup and view all the answers

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

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

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

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

    What is the result of dividing a positive integer by the product of 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 finding the square root of the square of a negative integer?

    <p>The result is the absolute value of the original integer.</p> Signup and view all the answers

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

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

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

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

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

    <p>The result is always twice the absolute value of the original integer.</p> Signup and view all the answers

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