40 Questions
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 the corresponding positive number
What is the result of adding a positive and a negative number?
Depends on the magnitudes of the numbers
What is the additive inverse of a positive number?
The corresponding negative number
What is the product of two negative numbers?
Positive
What is the result of subtracting an additive inverse?
Twice the original number
What is the equivalent of subtracting a negative number?
Adding the corresponding positive number
What is the result of adding a negative number to itself?
Zero
What is the rule for multiplying a positive number and a negative number?
The product is always negative
What is the result of adding a positive number and its additive inverse?
Zero
What is the result of adding a number to its additive inverse?
Zero
What is the result of multiplying a positive and a negative integer?
A negative integer
What is the purpose of the distributive property in multiplication?
To simplify multiplication of integers
What is the result of subtracting an integer from another?
The same as subtracting the additive inverse of the integer
What is the notation for the square root of a number x?
√x
What is the result of dividing a positive number by a negative number?
A negative number
What real-world situation can be modeled using integers and the rules of arithmetic operations?
Both A and B
What is the notation for the cube of a number x?
x^3
What is the result of adding a positive and a negative integer with the same absolute value?
Zero
What is the purpose of the rules of division with integers?
To determine the sign of the quotient
If a is a positive integer, what is the result of a + (-a) + a?
2a
What is the result of subtracting -5 from 3?
8
If x is a negative integer, what is the result of x × (-x)?
x^2
What is the result of 4 - (-2) + (-3) ?
1
If a is a positive integer, what is the result of a × a × (-1)?
-a^2
What is the result of -2 + 5 - (-3) ?
8
If x is a negative integer, what is the result of x - (-x) ?
2x
What is the result of 2 × (-3) + (-2) ?
-10
If a is a positive integer, what is the result of a - (-a) + (-a) ?
0
What is the result of -4 + 2 - (-1) ?
1
What is the result of $a(b - c)$ using the distributive property?
$ab - ac$
What is the result of $(-a)(-b)$?
$ab$
What is the result of $(a + b)(a - b)$ using the distributive property?
$a^2 - b^2$
What is the result of $(-a)^2$?
$a^2$
What is the result of $a^3$ when $a = -2$?
$-8$
What is the result of $\sqrt{(-a)^2}$?
$a$
What is the result of $a^2 - 2a$ when $a = 3$?
$0$
What is the result of $(-a)^3$ when $a = 2$?
$-8$
What is the result of $(a + b)(a + c)$ using the distributive property?
$a^2 + ac + bc$
What is the result of $(a - b)(a + b)$ using the distributive property?
$a^2 - b^2$
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