+73 1. What is the additive inverse of 2/3 ?
2. What is the multiplicative inverse of 2/3 ?
3. Justify the statement, "Division is not commutative."
4. Is the set of whole numbers closed under subtraction? Justify your answer.
5. To find the product of x and 5 , which property allows us to perform the following step? x • 5 = 5x
6. When adding 2 to the sum, 3 + x , which porperty allows us to perform the first step below?
7. What is the additive inverse of the expression -ab ?
8. What is the multiplicative inverse of the expression -1/ab ?
9. Is the set of non-zero integers closed under division? Justify your answer.
10. Show the set of non-zero rational numbers is closed under division.
+249 1. Additive inverse is the number you add to the given number in order to get 0. So -2/3.
2. Muiltiplicatice inverse of a/b is b/a. So 3/2.
3. x-y ≠ y-x. Just plug in numbers - 1-2≠2-1, 3-4≠4-3, etc...
4. Set of closed number is closed under addition and multiplication. Not subtraction because x-y can be negative, and negative numbers are not whole numbers (example: 3-5 = -2).
7. ab
8. ab/-1
9. No. Integers are closed under addition, subtraction, and multiplication. (Example: 8/6 is 4/3, which is not an integer.)
+129852 Here's a few....
1. What is the additive inverse of 2/3 ? → -2/3
2. What is the multiplicative inverse of 2/3 ? → 3/2
3. Justify the statement, "Division is not commutative." → for example, 15/3 = 5 but 5/15 = 1/3
4. Is the set of whole numbers closed under subtraction? Justify your answer.
Whole numbers are 0,1,2,3,4.........
"Closed" in this case means that when we perform a certain operation with two set members, we get a third set member returned. The set of whole numbers is not closed under subtraction because, for example..... 0 - 4 = -4 and -4 is not a member of the set of whole numbers
7. What is the additive inverse of the expression -ab ? → ab .... because -ab + ab = 0
9. Is the set of non-zero integers closed under division? Justify your answer.
Definitely not.....example .......22/7 = 3 +1/7 and this is not a non-zero integer
10. Show the set of non-zero rational numbers is closed under division.
Let m = a/b and n = c/d such that a/b and c/d ≠ 0. Them m/n = a/b ÷ c/d = [ad] / [ bc] which is also a non-zero rational
+73 Um guys thanks for the help but what about number 5 and 6?
5. To find the product of x and 5 , which property allows us to perform the following step?
x • 5 = 5x
6. When adding 2 to the sum, 3 + x , which porperty allows us to perform the first step below?
2 + (3 + x) =
(2 + 3) + x =
5 + x
Please Help!!!!!!!!!!!
+9673 1)
Additive inverse of 2/3?
2/3 + x = 0
x = -2/3
Same answer as everyone
2)
Multiplicative inverse of 2/3?
(2/3)(x) = 1
x = 1/ (2/3) = 3/2 = 1 1/2
Same answer as everyone
3)
Justify the statement 'Division is not commutative'?
a/b does not equal b/a.
Same answer as higgsb.(I think his/her '-' means 'vinculum' or 'fraction')
4)
I doesn't agree with CPhill in this one as I usually do.
0 - 4 = -4
Whole number does not depend on it's positivity or negativity, -4 is still a whole number: Therefore it is closed under subtraction! (Whole number means no fractions, no decimals, and no percentages unless it's 100k% for any integer k.)
5) commutative property of multiplication
6) associative property of addition
7) -ab + x = 0
x = ab
ab is the additive inverse of -ab
8) -x/ab = 1
x = -ab
-ab is the multiplicative inverse of -1/ab
9) It is not closed under division.......
Example: 22/7 = 3 1/7
Idk how to do 10). Thanks CPhill!! :D
