answersLogoWhite

0

The common operations of arithmetic for which it holds are addition and multiplication.

User Avatar

Wiki User

12y ago

What else can I help you with?

Continue Learning about Math & Arithmetic

Are matrices associative?

Yes, matrices are associative with respect to addition and multiplication. This means that for any matrices A, B, and C of compatible dimensions, the equations ( (A + B) + C = A + (B + C) ) and ( (AB)C = A(BC) ) hold true. Associativity is a fundamental property that allows for the regrouping of matrices during operations without changing the result.


5 3 plus 2 15 plus 10 is an example of the associative property for addition true or false?

False.


What is a counter example for the associative property is true for division?

The associative property states that the way in which numbers are grouped in operations does not affect the result. For division, a counterexample is the expression ( (6 \div 2) \div 3 ) versus ( 6 \div (2 \div 3) ). Calculating the first gives ( 3 \div 3 = 1 ), while the second gives ( 6 \div \frac{2}{3} = 6 \times \frac{3}{2} = 9 ). Since ( 1 \neq 9 ), this demonstrates that division is not associative.


Is the set of integers associative under subtraction?

No, the set of integers is not associative under subtraction. The associative property states that for any three elements (a), (b), and (c), the equation ((a - b) - c) should equal (a - (b - c)). However, this is not true for subtraction; for example, if (a = 5), (b = 3), and (c = 1), then ((5 - 3) - 1 = 1) while (5 - (3 - 1) = 3), which are not equal.


Which of the basic rules of arithmetic are true when you restrict the number system to the positive integers?

Closure with respect to addition and multiplication. Cummutative, Associative properties of addition and of multiplication. Distributive property of multiplication over addition.

Related Questions

What is the difference between the commutative and associative properties?

associative_is_grouping_same_order_and_commutative_is_the_order_switched_">associative is grouping same order and commutative is the order switched* * * * *Sadly, all that is rubbish.Commutativity: The order of operands can be changed without affecting the result.Associativity: The order of operations can be changed without affecting the result.Thus, the commutative property states thatx + y = y + x.The associative property states that(a + b) + c = a + (b + c) and so you can write either as a + b + c without ambiguity.Although these may seem pretty basic or obvious, they are not true for operations as basic as subtraction or division of ordinary numbers.while the associative property


5 3 plus 2 15 plus 10 is an example of the associative property for addition true or false?

False.


The property of civilians may not be deliberately attacked in the course of military operations?

true


9 plus 8 plus 1 equals 9 plus 1 plus 8 is it true or false?

True. Addition of natural numbers obeys associative and commutative property.


Is division of associative with wholes numbers true?

No.


The property of enemy civillians may not be deliberately and needlessly destroyed in the course of military operations?

True


What are two equations that prove division is not true for associative property?

(75/25) / 5 = 3/5 = 0.6 75 / (25/5) = 75/5 = 15


If all Sykes are Gords and some Sykes are Hiffs the statement Some Gords are Hiffs is?

True. Classic associative vs. partial associative logic. Yea, what she said. true


Which of the basic rules of arithmetic are true when you restrict the number system to the positive integers?

Closure with respect to addition and multiplication. Cummutative, Associative properties of addition and of multiplication. Distributive property of multiplication over addition.


Are the associative properties true for all integers?

No, Associative proporties are not true for all integers. The deffinition for integer (n) 1. one of the positive or negative numbers 1, 2, 3, act., or zero. Compare whole number.


Which property is shown in the following statement 46 plus 17 plus 3 equals 46 plus 17 plus 3?

The property that "equality" is a reflexive relation on the set of arithmetic statements. It is a property of a relation such that it is true for members of the set over which the relation is defined.The "less than" operator, for example, is not reflexive since "x < x" is not true.


What does the word properties mean when used in maths?

There are many properties in math, some for each of the four major operations. They always hold true.