alexsan5537
06.07.2019 •
Mathematics
Consider the set of natural numbers. when you add two natural numbers, you will always get
a natural number. for example, 3+4 = 7. so, the set of natural numbers is said to be closed
under the operation of addition.
similarly, adding two integers or two rational numbers or two real numbers always produces
an integer, or rational number, or a real number, respectively. so, all the systems of numbers
are closed under the operation of addition,
a. think of polynomials as a system. for each of the following operations, determine whether
the system is closed under the operation. in each case, explain why it is closed or provide
an example showing that it isn't.
1. addition
type your response here:
2. subtraction
type your response here:
3. multiplication
type your response here:
4. division
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Ответ:
As written in the question Abbie, Chloe, and Xander are playing a dice game.
They are playing with two dices.
Rules are
Same number on both dice=+3
Different numbers, with an even sum=+1
An odd sum=-2
After five rounds score of Chloe=+1
→1=3+1+(-2)+(-2)+1
⇒ Same number on both dice ( in first throw)+Different numbers ,with an even sum (in second throw)+An odd sum(third throw)+An odd sum(fourth throw)+Different numbers ,with an even sum (in fifth throw)
As you can alter the arrangement ,In each case you will get sum as(+1), as integers Satisfy both Commutativity and Associativity with respect to addition.