40 Questions
What is the result of subtracting a larger number from a smaller number?
A negative number
What is the equivalent operation of adding a negative number?
Subtracting a positive number
What is the result of adding a positive and a negative number with the same magnitude?
Zero
What is the additive inverse of a number?
A corresponding negative number
What is the result of multiplying two negative numbers?
A positive number
What is the formula for adding a negative number?
a + (-b)
What is the formula for subtracting a negative number?
a - (-b)
What is the distributive property of multiplication over addition?
$a(b + c) = ab + ac$
What is the result of adding an additive inverse to a number?
Zero
What is the quotient of a positive number and a negative number?
Negative
What is the result of adding a number to its additive inverse?
0
What is the result of subtracting an additive inverse from a number?
Twice the original number
What is the formula for multiplying two positive numbers?
The product is positive
What is the square of a number represented as?
$x^2$
What is the purpose of negative numbers?
All of the above
What is the result of subtracting a larger number from a smaller number?
A negative number
What is the equivalent of adding a negative number?
Subtracting a positive number
What is the result of the product of a positive and a negative number?
A negative number
What is the-square root of a number represented as?
$\sqrt{x}$
What is the purpose of understanding the properties of integers?
All of the above
What is the result of subtracting a positive number from a smaller negative number?
A negative number
What happens when you add a negative number to a negative number?
The result is always negative
What is the product of a positive number and a negative number when the negative number is larger?
A negative number
What is the result of subtracting a negative number from a positive number?
A positive number
What happens when you add a positive number to its additive inverse?
The result is always zero
What is the result of multiplying two positive numbers with different magnitudes?
A positive number
What happens when you subtract a negative number from a negative number?
The result depends on the magnitudes of the numbers involved
What is the result of adding a positive number to a negative number with the same magnitude?
Zero
What is the product of a negative number and a negative number with different magnitudes?
A positive number
What happens when you add a negative number to zero?
The result is always negative
What is the result of applying the distributive property to the expression $2(3 + 5)$?
2(3) + 2(5)
Which of the following statements about integers is true?
The sum of a positive and a negative integer can be positive or negative
What is the effect of subtracting an additive inverse from a number?
It results in the original number
What is the result of applying the distributive property to the expression $-3(2 + 4)$?
$-3(2) + (-3)(4)$
Which of the following statements about division with integers is false?
The quotient of a negative and a negative number is always negative
What is the result of calculating $(-2)^3$?
-16
Which of the following statements about powers and roots is true?
Both positive and negative numbers can have square and cube roots
What is the result of adding a positive and a negative number with the same magnitude?
The result is 0
Which of the following statements about integers is true?
The product of two positive integers is always positive
What is the result of subtracting an integer from its additive inverse?
The result is 0
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