39 Questions
What is the product of two negative integers?
Positive
For any integers $a$ and $b$, which of the following is true?
$a imes b = b imes a$
What is the quotient of a positive integer and a negative integer?
Negative
For any integers $a$, $b$, and $c$, which of the following is true?
$a imes (b + c) = (a imes b) + (a imes c)$
What is the product of a positive integer and a negative integer?
Negative
What is the order of operations when combining integers?
Parentheses/Brackets, Exponents/Orders, Addition and Subtraction (from left to right), Multiplication and Division (from left to right)
What is the result of squaring a fraction?
A new fraction where both the numerator and the denominator are squared
How do you find the square root of a fraction?
By taking the square root of the numerator and the denominator separately
What is the result of cubing a fraction?
A new fraction where both the numerator and the denominator are cubed
How do you express a large number in scientific notation?
By writing it as the product of a number between 1 and 10 and a power of 10
What happens when you subtract a negative integer?
The value increases
How do you compare numbers in scientific notation?
Compare the exponents first, then the base numbers
What happens when you add a positive integer?
The value increases
What is the result of multiplying a positive integer by a negative integer?
Always negative
Which property of multiplication states that the order of multiplication does not change the product?
Commutative Property
What is the result of dividing a negative integer by a negative integer?
Always positive
What is the result of multiplying a negative integer by a negative integer?
Always positive
What is the formula for multiplying an integer by the sum of two integers?
$a imes (b + c)$
What is the result of multiplying a number by 10^3 in scientific notation?
The number is multiplied by 1000
Which of the following expressions is equivalent to 2 × 3^2?
2 × 9
What is the result of subtracting a negative integer from a positive integer?
The result is always positive
What is the result of squaring the fraction 3/4?
9/16
What is the result of cubing the fraction 2/3?
8/27
How do you compare two numbers in scientific notation?
Compare the exponents and then the base numbers
What is the result of multiplying two numbers in scientific notation?
The base numbers are multiplied and the exponents are added
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 multiplying an integer by the difference of two negative integers?
A positive integer
Which property of multiplication allows us to rewrite $a imes (b - c)$ as $(a imes b) - (a imes c)$?
Distributive Property
What is the result of dividing a positive integer by the sum of a positive and a negative integer?
A fraction
Which of the following expressions is equivalent to $a imes (b + c) + a imes (b - c)$?
$2a imes b$
What is the result of multiplying a negative integer by the sum of a positive and a negative integer?
A negative integer
What is the result of applying the order of operations to the expression $2 × (3 + 4) × (5 - 2)$?
70
If $a = 2$ and $b = -3$, what is the value of $(a + b)^2$?
25
What is the result of finding the cube root of the fraction $27/64$?
3/2
What is the result of converting the number $0.0000063$ to scientific notation?
6.3 × 10^(-5)
What is the result of multiplying the numbers $3 × 10^4$ and $2 × 10^2$ in scientific notation?
6 × 10^6
Which of the following is true when comparing the numbers $2 × 10^5$ and $1.5 × 10^6$ in scientific notation?
The second number is greater.
What is the result of adding $5$ and $-3$?
2
What is the result of subtracting $-2$ from $4$?
6
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