Your teacher makes the following statement, “The set of whole numbers is closed under multiplication, but the set of irrational
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Step-by-step explanation:
The statement the teacher makes is “The set of whole numbers is closed under multiplication, but the set of irrational numbers is not closed under multiplication.”
For a set of numbers to closed under multiplication means that, if we multiply any two numbers from the set, the result is also a number that belongs to the same set.
For example, the set of whole numbers are : {0,1,2,3,4,5,6,...}
Observe that, the results we are getting are also whole numbers.
Also the irrational numbers are not closed under multiplication.
This means that we can multiply some two irrational numbers and get a rational number.
For example:
are irrational but their product is 4 which is rational
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Okay so first we need to find the height ofn one hay barrel. To do this we must use the equations v= h×w×l
We already know 3 out of the 4 variables in the equations, in this case we are given the volume so we must work backwards.
The equation will look like this:
First we must mulitpy 4 and 1 1/3 to get 16/3. The equation will now look like:
Next divide 16/3 from h then from 10 2/3 to get :
The height is 2ft. Finally multiply 2 by the number of hay barrels (8) placed upon each other becuase we're finding the height and you will get your answer of 16 ft in height.
We already know 3 out of the 4 variables in the equations, in this case we are given the volume so we must work backwards.
The equation will look like this:
First we must mulitpy 4 and 1 1/3 to get 16/3. The equation will now look like:
Next divide 16/3 from h then from 10 2/3 to get :
The height is 2ft. Finally multiply 2 by the number of hay barrels (8) placed upon each other becuase we're finding the height and you will get your answer of 16 ft in height.