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 (D)</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 (B)</p> Signup and view all the answers

What is the result of squaring a negative integer?

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

What is the result of cubing a negative integer?

<p>The result is always negative (B)</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 (D)</p> Signup and view all the answers

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

<p>Zero (A)</p> Signup and view all the answers

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

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

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

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

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

<p>Negative (A)</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 (A)</p> Signup and view all the answers

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

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

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

<p>To simplify the product (C)</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 (B)</p> Signup and view all the answers

What is the result of multiplying two negative integers?

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

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

<p>To simplify the sum (B)</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 (B)</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 (A)</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 (D)</p> Signup and view all the answers

What is the additive inverse of an integer?

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

What is the result of adding two negative integers?

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

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

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

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

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

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

<p>A negative product (B)</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 (D)</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 (B)</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 (B)</p> Signup and view all the answers

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

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

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

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

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

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

What is the result of multiplying two negative integers?

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

What is the result of squaring a negative integer?

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

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

<p>Zero (D)</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 (C)</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 (B)</p> Signup and view all the answers

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

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

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

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

What is the result of adding zero to any integer?

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

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

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

What is the result of multiplying any integer by one?

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

What is the additive inverse of an integer?

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

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

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

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

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

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

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

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

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

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

<p>Always negative (D)</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 (B)</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 (A)</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 (B)</p> Signup and view all the answers

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

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

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

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

What is the result of multiplying two negative integers?

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

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

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

What is the square of a negative integer?

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

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

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

What is the cube of a negative integer?

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

What is the value of the square root of 16?

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

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

<p>0 (A)</p> Signup and view all the answers

What is the result of multiplying -3 by 2?

<p>-6 (B)</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 (C)</p> Signup and view all the answers

What is the purpose of the commutative property of addition?

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

What is the result of subtracting -3 from 5?

<p>8 (A)</p> Signup and view all the answers

What is the result of dividing -6 by 2?

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

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

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

What is the result of adding 3 to -3?

<p>0 (B)</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 (B)</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 (A)</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 (B)</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 (B)</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 (C)</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 (B)</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 (A)</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 (C)</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 (C)</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 (D)</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 (D)</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. (C)</p> Signup and view all the answers

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

<p>The product is always negative. (C)</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. (C)</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. (D)</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. (B)</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. (D)</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. (D)</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. (C)</p> Signup and view all the answers

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

<p>Always zero (B)</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 (D)</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 (C)</p> Signup and view all the answers

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

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

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

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

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

<p>Always positive (D)</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 (C)</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 (C)</p> Signup and view all the answers

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

<p>Always decreases the value (B)</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 (D)</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 (A)</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. (B)</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 (D)</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. (B)</p> Signup and view all the answers

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

<p>Distributive Property (A)</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 (C)</p> Signup and view all the answers

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

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

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

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

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

<p>x = 9 (C)</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 (B)</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 (C)</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 (D)</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 (D)</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 (C)</p> Signup and view all the answers

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

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

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

<p>Zero (A)</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 (B)</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 (C)</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 (B)</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 (B)</p> Signup and view all the answers

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

<p>Zero (C)</p> Signup and view all the answers

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

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

What is the result of multiplying an integer by zero?

<p>Zero (C)</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. (A)</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. (B)</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. (A)</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. (C)</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. (D)</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. (B)</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. (D)</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. (D)</p> Signup and view all the answers

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