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jarptica [38.1K]
3 years ago
15

Write the number "five hundredths, six thousandths, forty-two millionths" as a decimal.

Mathematics
2 answers:
Mamont248 [21]3 years ago
6 0
0.05642 So in this case when it comes to decimals you need to know the placements of the decimals. 
1. The first number after the decimal 0.0 is the Tenths place
2. The number after the 1st number of the decimal is the Hundredths place
3. Then comes Thousandths
4. Then comes millionths 
d1i1m1o1n [39]3 years ago
3 0
0.05642

Hope this helps!
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Determine,in each of the following cases, whether the described system is or not a group. Explain your answers. Determine what i
zheka24 [161]

Answer:

(a) Not a group

(b) Not a group

(c) Abelian group

Step-by-step explanation:

<em>In order for a system <G,*> to be a group, the following must be satisfied </em>

<em> (1) The binary operation is associative, i.e., (a*b)*c = a*(b*c) for all a,b,c in G </em>

<em>(2) There is an identity element, i.e., there is an element e such that a*e = e*a = a for all a in G </em>

<em> (3) For each a in G, there is an inverse, i.e, another element a' in G such that a*a' = a'*a = e (the identity) </em>

<em> </em>

If in addition the operation * is commutative (a*b = b*a for every a,b in G), then the group is said to be Abelian

(a)  

The system <G,*> is not a group since there are no identity.  

To see this, suppose there is an element e such that  

a*e = a

then  

a-e = a which implies e=0

It is easy to see that 0 cannot be an identity.

For example  

2*0 = 2-0 = 2

Whereas

0*2 = 0-2 = -2

So 2*0 is not equal to 0*2

(b)

The system <G,*> is not a group either.

If A is a matrix 2x2 and the determinant of A det(A)=0, then the inverse of A does not exist.

(c)

The table of the operation G is showed in the attachment.

It is evident that this system is isomorphic under the identity map, to the cyclic group

\mathbb{Z}_{5}

the system formed by the subset of Z, {0,1,2,3,4} with the operation of addition module 5, which is an Abelian cyclic group

We conclude that the system <G,*> is Abelian.

Attachment: Table for the operation * in (c)

4 0
3 years ago
How many times greater is the digit in the tenths place than in the hundredths place?
zhannawk [14.2K]
That depends on what the digits are. It could be anywhere between zero times and infinite times. If both are the same digit and not zero, then the tenth is ten times the size of the hundredth.
4 0
3 years ago
How much does cell phone weigh
noname [10]
In 2005 he average weight is 4 ounces, they have gotten bigger since, clearly, but that is the average weight. 
Does this answer your question?<span />
5 0
3 years ago
Read 2 more answers
What is the inverse of the given relation? Y=7x^2+4
EleoNora [17]

follow these steps:

1) y-4=7x^2

2) (y-4)/7 = x^2

x = \sqrt{ \frac{y - 4}{7} }

so you must inverse x and y names:

{f}^{ - 1} (x) = \sqrt{ \frac{x - 4}{7} }

7 0
3 years ago
Given g(x) = -x + 3, solve for x when g(x) = -1.
cluponka [151]

Answer:

4

Step-by-step explanation:

It's ok! This is simple. Simply plug in your given values. Since g(x) = -1, plug that into the equation.

g(x) = -x + 3

g(-1) = -(-1) + 3

=1+3

=4

7 0
2 years ago
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