Fundamental Theorem of Arithmetic - CORRECT-ANSWERSstates that all
composite numbers* can be represented as the product of prime numbers*.
It is important to be able to find the prime factors of any composite number.
This theory simply states that any integer greater than 1 is either prime, or is
the product of prime numbers.
Prime factorization - CORRECT-ANSWERSPrime factorization is a process of
factoring a number into its prime factors
perfect square - CORRECT-ANSWERSwhere something times itself equals
that number. So 9 is a perfect square because 3*3 = 9
principal square root - CORRECT-ANSWERSThe positive square root of a
perfect number. the principal square root of 36 is 6
radical sign - CORRECT-ANSWERSthe √ sign which indicates the square root
of the number that follows.
√16 = 4
The identity property - CORRECT-ANSWERSThe fact that the sum of a
number and 0 will always equal the number
additive inverse - CORRECT-ANSWERSTwo numbers equidistant from 0 on a
number line whose sum is 0. For example, 3 and -3 are additive inverses.
commutative - CORRECT-ANSWERSThe property that the order of the
numbers under the operation does not change the result. Addition and
multiplication are commutative: a + b = b + a and ab = ba.
factor tree - CORRECT-ANSWERSA graphical method used to identify the
prime factorization of an integer.
base number - CORRECT-ANSWERSThe number multiplied by itself when
paired with an exponent. For example, in 8 to the third power, 8 would be
the base number.
product - CORRECT-ANSWERSThe result of multiplying values.
, expressions - CORRECT-ANSWERSA string of terms that are connected by
division, addition, and subtraction operations.
discrete - CORRECT-ANSWERSA collection of numbers whose values are
distinct, separate, and unconnected.
multiplicative inverse - CORRECT-ANSWERSThe multiplicative inverse of a
number x is the number you must multiply x by to get 1. For example, 5 and
1/5 are multiplicative inverses.
radicand - CORRECT-ANSWERSThe number within the radical sign whose
square root is to be taken.
interval - CORRECT-ANSWERSA set of numbers between two specified
values.
associative property - CORRECT-ANSWERSThe associative property holds
that under certain operations in a multi-step expression, the computations
may be done in any order. Commonly represented as (a + b) + c = a + (b +
c). Addition and multiplication are associative.
difference - CORRECT-ANSWERSThe result of one number being subtracted
from another number.
superscript - CORRECT-ANSWERSA symbol (such as a number or letter)
written above and immediately to the left or right of another character.
Display x is greater than -5 using interval notation.
a (-∞, -5)
b (-∞, -5]
c (-5, ∞)
d [-5, ∞) - CORRECT-ANSWERSc) (-5, ∞)
The correct answer is c. All values greater than -5 are true for the inequality.
Greater than is denoted by a parenthesis and denotes that the value
alongside it, in this example -5, is not to be included. The infinity symbol is
always paired with a parenthesis, rather than a bracket.
Display x less than or equal to 4 using interval notation - CORRECT-
ANSWERS(-∞, 4]
All values less than or equal to 4 are true for the inequality. Less than or
equal to is denoted by a bracket and denotes that the value alongside it, in
this example 4, is to be included. Also, the infinity symbol is always paired
with a parenthesis rather than a bracket. Therefore, (-∞, 4] included is the
interval notation.
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