What is 9.45 rounded to the nearest whole number?
2 answers:
Answer:
Step-by-step explanation:
9.45
To round up to nearest whole number, we have to see the tenth place.
If the value of the tenth place is greater or equal to 5, then we round up the number to 10. If the value of the tenth place is less than 5, the we round up the number to 9.
The value of the tenth place is 4, which is less than 5, we will round up the number to 9.
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Answer:
1.No, because inverse does not exist.
2.No, because inverse does not exist.
Step-by-step explanation:
We are given that X be a set and let P(X) be the power set of X.
a. We have to tell P(X) with binary operation
A*B= form a group.
Suppose, x={1,2}
P(X)={,{1},{2},{1,2}}
1.Closure property:
{1} {2}=
It is satisfied for all
2.Associative property:
If A={1},B={2},C={1,2}
={1}
({2}
{1,2})={1}
{2}=
=({1}
{2})
{1,2}=
{1,2}=
Hence, P(X) satisfied the associative property.
3.Identity : Where B is identity element of P(X)
It is satisfied for every element A in P(X).
Hence, X is identity element in P(X)
4.Inverse : Where B is an inverse element of A in P(x)
It can not be possible for every element that satisfied
Hence, inverse does not exist.
Therefore, P(X) is not a group w.r.t to given binary operation.
2.We have to tell P(X) with the binary operation
A*B= form a group
Similarly,
For set X={1,2}
P(X)={,{1},{2},{1,2}}
1.Closure property:If A and B are belongs to P(X) then for all A and B belongs to P(X).
2.Associative property:
If A={1},B={2},C{1,2}
={1}
{2}={1,2}
={1,2}
{1,2}={1,2}
={2}
{1,2}={1,2}
={1}
{1,2}={1,2}
Hence, P(X) satisfied the associative property.
3.Identity : Where B is identity element of P(X)
Only is that element for every A in P(X) that satisfied
Hence, is identity element of P(X) w.r.t union.
4.Inverse element :
where B is an inverse element of A in P(X)
It is not possible for every element that satisfied the property.
Hence, inverse does not exist for each element in P(X).
Therefore, P(X) is not a group w.r.t binary operation.
Answer:
x | y
16 4
8 2
36 9
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