From the set{2/3,-2,0,2,6/2} select a number that fits each statement: A. Division by this # in undefined?

Question

b. this rational number is not defined in the set on integers.
c. this integer is not defined in the set of natural numbers.

Answer 1

This is pretty easy. (a) should be 0, since division by zero is undefined and you can divide by any other finite number. (b) is 2/3, since it's the only number in the set that's not an integer (6/2 = 3 is an integer). (c) is -2, since it's not a natural number (positive integer).

Answer 2

a) Division by 0 is undefined. Take for example 5 divided by 2. The answer is 2 with a remainder of 1. But why is that? If we were to say the answer is 1. We would have a remainder of 3. Since 2 can still go into 3, we have to increase our original guess, so the divisor is bigger than the remainder. So now if we do 5 divided by 0, and say the answer is 3, we will get a remainder of 5, but 0 can go into 5. We repeat this process over and over, and not find a defined numerical answer. Hence why any number divided by 0 is "undefined."

Answer 3

A. 0
B. 2/3 is not an integer. Proper fractions are not integers. (6/2 is an integer, because it reduces to 3.)
c -2 is not a natural number. Natural numbers are greater than or equal to 0.

Answer 4

This is easy. The answer is 0 because any number divided by 0 is undefined. Zero is the only thing you can divide by to get an undefined answer.

Answer 5

1). the answer if zero. anumberf divided by zero is undefined

2). 2/3 is a rational number

3). - 2 is not a natural number

Answer 6

a). 0
b) 2/3
c). Two possibilities: -2 or 0. 0 is a whole number
but not a natural number.

Answer 7

I believe the answer is ZERO,