52 Questions
What is a fundamental property of addition in integers?
The order of numbers does not change the sum.
Which of the following is a property of multiplication in integers?
The order of numbers does not change the product.
What is the result of adding zero to any integer?
The number remains the same.
What is the result of multiplying any integer by one?
The number remains the same.
What is the additive inverse of an integer?
A number that when added results in zero.
What is a consequence of the distributive property of multiplication over addition?
Multiplication distributes over addition.
Which of the following is an example of the associative property of addition?
(2 + 3) + 4 = 2 + (3 + 4)
What is a consequence of the commutative property of multiplication?
The order of numbers in multiplication does not affect the product.
What is the additive inverse of 5?
-5
What is the result of subtracting a negative integer from a positive integer?
A positive difference
What is the absolute value of -3?
3
What is the result of multiplying two integers with different signs?
A negative product
What is the result of adding a positive integer and a negative integer?
A sum that depends on the absolute values of the integers
What is the property that states that multiplying a number by a sum of numbers is the same as multiplying each addend separately and then adding the products?
Distributive Property
Which property of integers states that changing the order of the numbers does not change the sum?
Commutative Property
What is the result of multiplying any integer by its additive inverse?
Zero
Which property of integers allows us to regroup numbers when adding three or more integers?
Associative Property
What happens when we add a positive integer and its additive inverse?
We get zero
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?
Distributive Property
What is the result of adding zero to any integer?
The original integer
Which property of integers allows us to change the order of the numbers when multiplying?
Commutative Property
What happens when we multiply any integer by one?
We get the original integer
Which of the following is true about the product of three integers?
The product is positive if at least two integers have the same sign.
What is the result of subtracting a positive integer from a negative integer?
A negative difference
Which of the following statements is true about the multiplication of integers?
The product of a positive and a negative integer is always negative.
What is the relationship between the absolute value of an integer and its distance from zero on the number line?
The absolute value is equal to the distance from zero.
Which of the following is an example of the distributive property of multiplication over addition?
2 × (3 + 4) = 2 × 3 + 2 × 4
What is the result of adding a positive integer and its additive inverse?
A zero sum
What is a common property shared by both addition and multiplication of integers?
Commutative Property
Which property of integers allows us to rearrange the numbers when adding or multiplying three or more integers?
Associative Property
What is the result of adding a negative integer to its additive inverse?
0
Which property of integers states that the order in which two numbers are added or multiplied does not change the result?
Commutative Property
What is the result of multiplying an integer by its additive inverse?
-0
Which property of integers allows us to multiply a number by a sum of numbers?
Distributive Property
What is the purpose of the additive inverse of an integer?
To find the sum of an integer and its opposite
Which property of integers states that changing the grouping of numbers does not change the result?
Associative Property
When multiplying three negative integers, what is the sign of the product?
Negative
What is the result of adding a positive integer and a negative integer with the same absolute value?
Zero
Which of the following is equivalent to subtracting a negative integer from a positive integer?
Adding a positive integer to a positive integer
When multiplying two integers with the same sign, what is the sign of the product?
Positive
What is the relationship between the absolute value of an integer and its distance from zero on the number line?
The absolute value is equal to the distance from zero
What is the result of multiplying a negative integer by a sum of positive integers?
A negative product
What is the result of multiplying an integer by the sum of its additive inverse and 1?
Always zero
Which of the following statements is true about the multiplication of integers with different signs?
The product is always negative
What is the result of subtracting an integer from its additive inverse?
Always zero
What is the relationship between the absolute value of an integer and its distance from zero on the number line?
The absolute value is equal to the distance from zero
What is the result of adding a positive integer and a negative integer with the same absolute value?
Always zero
Which property of integers allows us to extend the distributive property to three or more addends?
Distributive Property of Multiplication over Addition
What is the result of subtracting the additive inverse of an integer from itself?
Zero
Which property of integers is used to simplify the expression $(a + b) + c$?
Associative Property of Addition
What is the result of multiplying an integer by its multiplicative inverse?
One
Which property of integers is used to simplify the expression $a imes (b + c + d)$?
Distributive Property of Multiplication over Addition
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