Multiplicative inverse - Study guides, Class notes & Summaries
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CS6515 - Exam 2 Algorithms Questions With 100% Correct Answers.
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Equivalence - Answer-"x ≡ y (mod N) means that x/N and y/N have the same remainder 
a ≡ b (mod N) and c ≡ d (mod N) then: 
a + c ≡ a + d ≡ b + c ≡ b + d (mod N) 
a - c ≡ a - d ≡ b - c ≡ b - d (mod N) 
a ** c ≡ a ** d ≡ b ** c ≡ b ** d (mod N) 
ka ≡ kb (mod N) for any integer k 
ak ≡ bk (mod N) for any natural number k 
a + k ≡ b + k (mod N) for any integer k 
a + b = c, then a (mod N) + b (mod N) ≡ c (mod N) 
a ** b = c, then a (mod N) ** b (mod N) ≡ c (mod N)" ...
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CLEP College Algebra Questions and Answers 100% correct 2023
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CLEP College Algebra Questions and Answers 100% correct 2023 
additive inverse to a 
-a 
 
 
 
multiplicative inverse to a (when a does not =0) 
1/a 
 
 
 
raising expression to a negative exponent 
1/b^n 
 
 
 
multiplying expressions with powers 
x^n + x^m = X^m+n 
 
 
 
raising expressions to powers 
(x^m)^n = x^mn 
 
 
 
diving expressions with powers 
x^m/ x^n = x^m-n 
 
 
 
fractional exponents 
x^1/2 = sq rt. X 
x^m/n = n rt. of x^m 
 
 
 
multiplying radicals 
(sq a)(sq b) = sq ab 
 
 
 ...
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Multi-Subject CST - Math - Part I Questions & Answers | Latest Update | Verified Answers | Grade A+
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commutative property 
(of addition and multiplication) 
:: states that the order of the numbers when adding or multiplying does not change the 
sum or product. 
ADDITION: a + b = b + a 
MULTIPLICATION: a * b = b * a 
associative property 
(of addition and multiplication) 
:: states that the grouping of numbers when adding or multiplying does not change the 
sum or product 
ADDITION: (a + b) + c = a + (b + c) 
MULTIPLICATION: (a * b) * c = a * (b * c) 
distributive property 
(of addition and mu...
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Praxis II: Math (5003) Latest Update Graded A+
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Praxis II: Math (5003) Latest Update 
 
Graded A+ 
 
Integers 
Positive and Negative Whole Numbers; Includes 0 
 
Prime Number 
A whole number greater than 1 that only has two factors (itself and 1) 
 
Composite Number 
A whole number greater than 1 that has more than two different factors 
Rational Numbers 
 
All integers, decimals and fractions; any terminating or repeating decimal number 
Irrational Numbers 
Cannot be written as fractions or decimals because the number of decimal places is in...
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INTRODUCTORY LINEAR ALGEBRA MATRIX INVERSES AND DETERMINANTS EXAM STUDY GUIDE 2024
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Matrix inverses are analogous to the multiplicative inverse (or reciprocal) in the number system. 
 
 
 
In the number system, the multiplicative inverse, if it exists, is unique. Indeed, the matrix inverse, if it exists, is also unique similarly, as shown in the following proposition. 
 
 
 
 
is invertible and its inverse is 
 
 
 
since 
 
 
 
(it implies that the matrix product in another order is also	by the invertible matrix theorem) 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
...
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WGU C955 Applied Probability and Statistics Module One Basic Numeracy & Calculation Skills Exam Proficiency Questions and Answers 2024/2025
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WGU C955 Applied Probability and Statistics Module One Basic Numeracy & Calculation Skills Exam Proficiency Questions and Answers 2024/2025 
 
Set - correct answer In mathematics: a collection of numbers. 
 
Identity property - correct answer The property that 0 can be added to any number without changing the value of the number. Likewise, 1 can be multiplied by any number without changing the value of that number. 
 
Prime number - correct answer A number with only two factors: one and itself. ...
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Praxis II - 5003 – Mathematics Exam | Questions & 100% Correct Answers (Verified) | Latest Update | Grade A+
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Composing and Decomposing Numbers 
: "composing" 
So 349 is composed of 3 hundreds, 4 tens and 9 ones, in other words: 
300 + 40 + 9 ⇒ 349 
"Decomposing" 
Decomposing is when we break the number apart 
349 ⇒ 300 + 40 + 9 
"Decomposing" 
Standard/Expanded Form 
: Standard and Expanded Form 
Some people call the two different forms "Standard" and "Expanded": 
349 300 + 40 + 9 
Standard Form: 349 
Expanded Form: 300 + 40 + 9 
2 | P a g e 
Decimal Numbers 
: Decomposing: 
37.2 ⇒ 3...
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CS6515 - Exam 2 Algorithms questions and answers
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Equivalence - ANSWER-"x ≡ y (mod N) means that x/N and y/N have the same 
remainder 
a ≡ b (mod N) and c ≡ d (mod N) then: 
a + c ≡ a + d ≡ b + c ≡ b + d (mod N) 
a - c ≡ a - d ≡ b - c ≡ b - d (mod N) 
a ** c ≡ a ** d ≡ b ** c ≡ b ** d (mod N) 
ka ≡ kb (mod N) for any integer k 
ak ≡ bk (mod N) for any natural number k 
a + k ≡ b + k (mod N) for any integer k 
a + b = c, then a (mod N) + b (mod N) ≡ c (mod N) 
a ** b = c, then a (mod N) ** b (mod N) ≡ c (mod N)...
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COS1501 - Theoretical Computer Science I Summary Study Notes
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COS1501 - Theoretical Computer Science I Summary Study Notes. 
A positive integer p greater than 1 is defined to be a prime number if its only factors 
are 1 and p. 
Definition 3 (n factorial (n!)): 
If n is any positive number, then n factorial, denoted by n!, is calculated as follows: 
n! = n(n–1)(n–2)…(4)(3)(2)(1) 
Study unit 2 Rational and real 
numbers: Q and R 
The rational numbers: Q 
Set of all numbers of the form p/q where p and q are integers and q is not zero 
p 
q 
 where p, q ...
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WGU C955 Applied Probability and Statistics Focused on Terms and Formular Questions and Answers 2024/2025
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WGU C955 Applied Probability and Statistics Focused on Terms and Formular Questions and Answers 2024/2025 
 
Principal square root - correct answer "The positive square root of a number. For example, the principal square root of 36 is 6." 
 
Whole number - correct answer A number whose value is 0 or greater (negative numbers are not considered this), and can be represented without a fractional or a decimal component. 
 
Positive number - correct answer "A number whose value is greater t...
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