Question

PLEASE HELP!!!:)

Which sets of numbers are closed under subtraction?

Choose all answers that are correct.

A.
whole numbers

B.
negative integers

C.
integers

D.
rational numbers

Answer 1

@hedyeh99

Answer 2

im thinking all of them

Answer 3

What do they mean by "closed"

Answer 4

The set of whole numbers is closed under subtraction.True or false?
The whole numbers are {0,1,2,3,...}

False, because you can subtract your way out of the set of whole
numbers. For instance take the two whole numbers 2 and 5. If you
subtract 2 - 5 you get a negative number -3, and no negative numbers
are whole numbers. So you've subtracted your way out of the set of
whole numbers.

Answer 5

it is not a

Answer 6

http://mathforum.org/library/drmath/view/52452.html

Answer 7

For each set, you can only do operations for which that set is closed:
•
Counting Numbers: This set is closed only under addition and multiplication. In other words, we can solve all addition and multiplication problems, but not all subtraction and division problems are solvable.
•
Whole Numbers: This set is closed only under addition and multiplication.
•
Integers: This set is closed only under addition, subtraction, and multiplication.
•
Rational Numbers: This set is closed under addition, subtraction, multiplication, and division (with the exception of division by 0).
•
Irrational Numbers: This set is closed for none of the operations (e.g., • = 2, a rational number).
•
Real Numbers: This set is closed only under addition, subtraction, multiplication, and division (with the exception of division by 0).
<< back to Problem A2

Answer 8

http://www.learner.org/courses/learningmath/number/session2/solutions_a.html

Answer 9

ok :)

Answer 10

so c and d @hedyeh99

Answer 11

Yes, i will check for "negative integers" too to make sure

Answer 12

ok thank you!!!:)

Answer 13

Are negative integers closed under subtraction?
No. -5 - -8 = 3, which is not a negative integer.
http://www.eecs.wsu.edu/~cook/tcs/l3.html

Answer 14

this website is long, but it is partially down

Answer 15

ok wow thank you sooo much!!!!:)

Answer 16

Your welcome :)