120 Questions
What is the result of adding an integer to its additive inverse?
The result is 0
Which property states that the order of multiplication does not change the product?
Commutative Property
What is the effect of subtracting an integer?
It has the same effect as adding its additive inverse
What is the result of multiplying a positive integer and a negative integer?
The result is always negative
What is a closed number sentence?
An equation where all numbers are known
What is the Distributive Property of Multiplication?
Multiplication distributes over addition and subtraction
What is the result of adding an integer and its additive inverse?
The result is 0
What is the property that states that integers can be added and subtracted in any order?
Associative Property of Addition
What is the result of raising a number to the power of zero?
The number becomes one
What is the product of two negative integers?
Positive
What is the result of squaring a fraction?
A new fraction where both the numerator and denominator are squared
What is the purpose of the order of operations (PEMDAS/BODMAS)?
To simplify expressions
What is the result of dividing a positive integer by a negative integer?
A negative integer
What is the law of exponents that states that $a^m imes a^n = a^{m+n}$?
Product of Powers
What is the result of cubing a fraction?
A new fraction where both the numerator and denominator are cubed
What is the purpose of scientific notation?
To express large numbers in a more readable form
What is the result of adding a negative integer to another negative integer?
A larger negative integer
What is the Distributive Property of multiplication?
Multiplication distributes over addition and subtraction
What is the result of adding an integer and its additive inverse?
Zero
Which property of integers allows you to add and subtract them in any order?
Both A and B
What is the effect of subtracting a negative integer?
It increases the value
What type of equation has some unknown numbers?
Open number sentence
Which symbol is used to indicate that one integer is greater than another?
>
What is the purpose of the temperature rise problem?
To calculate the difference between two temperatures
What happens when you subtract a negative integer?
The value increases
Which of the following is an example of an open number sentence?
x + 2 = 7
What is the purpose of finding the difference in depths between two trenches?
To compare the depths of the two trenches
What is the effect of adding an integer to its additive inverse?
The result is always zero
What symbol is used to indicate that one integer is less than another?
<
What is the purpose of finding the maximum temperature from the minimum temperature and the rise?
To compare the temperatures
Which of the following statements about integers is true?
The product of two positive integers is always positive.
What is the purpose of additive inverses in integer operations?
To find the sum of an integer and its negative counterpart.
Which property of integers allows you to rewrite the expression (a + b) + c as a + (b + c)?
Associative Property of Addition
What is the effect of adding a negative integer to another integer?
It decreases the value of the integer.
Which symbol is used to indicate that one integer is less than or equal to another?
<
What is the result of multiplying a negative integer by a negative integer?
A positive integer
Which of the following is an example of an open number sentence?
x + 2 = 5
What is the result of adding an integer and its additive inverse?
Zero
What is the result of raising 2 to the power of 3?
8
What is the simplified form of the expression (3^2) × (3^4)?
3^6
What is the result of dividing 4^3 by 4^2?
4^1
What is the result of multiplying (2^3) by (3^2)?
6^3
What is the result of converting 3000 to scientific notation?
3 × 10^3
What is the result of subtracting 2^3 from 3^3?
5
What is the result of multiplying (-2)^3 by (-2)^2?
-16
What is the result of adding 2^3 to 3^2?
15
What is the result of dividing (-3)^4 by (-3)^2?
9
What is the result of cubing the fraction 2/3?
8/27
What is the result of subtracting 5 from -3?
-8
Which of the following statements about integers is true?
Integers can be added and subtracted in any order due to the commutative and associative properties.
What is the additive inverse of 5?
-5
What is the result of adding 3 and -5?
-2
Which symbol is used to indicate that one integer is greater than or equal to another?
>=
What is the result of subtracting -3 from 2?
5
Which of the following statements about integers is true?
The product of a positive and a negative integer is always negative.
What is the purpose of additive inverses in integer operations?
To find the sum of an integer and its negative counterpart.
Which property of integers allows you to rewrite the expression (a + b) + c as a + (b + c)?
Associative Property of Addition
What is the effect of adding an integer to its additive inverse?
The result is always zero.
Which symbol is used to indicate that one integer is greater than another?
>
What is the purpose of the Distributive Property of Multiplication?
To multiply integers over addition and subtraction.
Which of the following is NOT a property of integer addition?
Distributive Property
What happens when you subtract an integer from its additive inverse?
The result is always the original integer.
What is the result of multiplying $a^m$ and $a^n$?
$a^{m+n}$
What is the result of dividing $a^m$ by $a^n$?
$a^{m-n}$
What is the result of raising $a^m$ to the power of $n$?
$a^{m imes n}$
What is the result of converting 4500 to scientific notation?
4.5 × 10^3
What is the result of comparing two numbers in scientific notation?
Compare the exponents first
What is the result of adding a positive integer and a negative integer?
The result depends on the values of the integers
What is the result of subtracting a negative integer from another integer?
The result is always positive
What is the result of multiplying two integers with the same sign?
The result is always positive
What is the result of dividing a positive integer by a negative integer?
The result is always negative
What is the result of squaring a fraction?
The result is a new fraction with both the numerator and the denominator squared
What is the outcome of adding a negative integer to its additive inverse?
Zero
What is the effect of subtracting a positive integer from a negative integer?
The result will be a negative integer
Which of the following is an example of an open number sentence involving integers?
x + 2 = 5
What is the purpose of using the commutative property of addition when working with integers?
To change the order of addition
What is the outcome of subtracting a negative integer from another negative integer?
A positive integer
Which of the following is a real-world application of integer operations?
Finding the difference in height between a mountain and the surrounding ocean
What is the result of multiplying $a^m$ by $a^n$ where $m$ and $n$ are integers?
$a^{m+n}$
What is the result of raising a negative integer to an even power?
Always positive
What is the result of dividing $a^m$ by $a^n$ where $m$ and $n$ are integers?
$a^{m-n}$
What is the result of multiplying a negative integer by a negative integer?
Always positive
What is the result of adding a positive integer to a negative integer?
Depends on the integers
What is the result of squaring a negative fraction?
Always positive
What is the result of converting 0.0003 to scientific notation?
3 × 10^(-4)
What is the result of multiplying two integers with different signs?
Always negative
What is the result of subtracting a negative integer from a positive integer?
Always positive
What is the result of cubing a negative fraction?
Always negative
What is the primary purpose of additive inverses in integer operations?
To represent the same value but with opposite signs
Which property of integers allows you to rewrite the expression a + (b + c) as (a + b) + c?
Associative Property of Addition
What is the result of multiplying a negative integer by a negative integer?
A positive integer
Which symbol is used to indicate that one integer is greater than or equal to another?
≥
What is the primary purpose of the Distributive Property of Multiplication?
To expand a product of a sum into a sum of products
What is the result of subtracting an integer from its additive inverse?
Zero
Which property of integers allows you to add and subtract them in any order?
Associative Property of Addition
What is the result of adding a negative integer to its additive inverse?
Zero
What is the result of adding a negative integer to its additive inverse?
0
Which property of integers allows you to rewrite the expression a + (b + c) as (a + b) + c?
Associative Property of Addition
What is the effect of subtracting a positive integer from another positive integer?
The result can be either positive or negative
Which symbol is used to indicate that one integer is less than or equal to another?
≤
What is the result of multiplying a positive integer by a negative integer?
Always a negative integer
Which property of integers allows you to add integers in any order?
Commutative Property of Addition
What is the result of adding an integer to its additive inverse?
0
Which property of integers allows you to rewrite the expression a × (b + c) as (a × b) + (a × c)?
Distributive Property of Multiplication
What is the correct order of operations when evaluating an expression with multiple integers and operations?
From outside in, based on the order of operations (PEMDAS/BODMAS)
If Sara has a temperature of -5°C and it rises by 8°C, what is her new temperature?
3°C
What is the result of subtracting 3 from -2?
-5
If a diver is at a depth of -15 meters and moves 7 meters towards the surface, what is their new depth?
-8 meters
What is the result of adding 2 and -3?
-1
If a mountain has a height of 2500 meters above the surrounding ocean, and the ocean is at a depth of -3000 meters, what is the difference in height between the mountain and the ocean?
5000 meters
What is the result of raising $a^m$ to the power of $n$, where $a$ is a non-zero integer and $m$ and $n$ are integers?
$a^{m imes n}$
What is the result of dividing $a^m$ by $a^n$, where $a$ is a non-zero integer and $m$ and $n$ are integers?
$a^{m-n}$
What is the result of multiplying $a^m$ by $a^n$, where $a$ is a non-zero integer and $m$ and $n$ are integers?
$a^{m+n}$
What is the result of converting $0.0003$ to scientific notation?
$3 imes 10^{-3}$
What is the result of cubing the fraction $2/3$?
$8/27$
What is the result of multiplying $(-2)^3$ by $(-2)^2$?
$-32$
What is the result of adding $2^3$ to $3^2$?
$13$
What is the result of dividing $(-3)^4$ by $(-3)^2$?
$9$
What is the result of subtracting $2^3$ from $3^3$?
$13$
What is the result of multiplying $(2^3)$ by $(3^2)$?
$108$
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