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Novay_Z [31]
2 years ago
9

What number has a greater value? 0.00009 or 0.0001.

Mathematics
2 answers:
victus00 [196]2 years ago
8 0

Answer:

The answer is .0001

Step-by-step explanation:

Since it is the closest value to 0, it is the largest number


kvv77 [185]2 years ago
5 0

<u>Answer:</u>

0.0001 is the greater value

<u>Step-by-step explanation:</u>

It is a good idea to write both the values in the scientific notation and then compare which of the values is greater.

So, to convert 0.00009 in scientific notation, write the first value from the right most side and multiply it with 10 to the negative power of number of digits to the right side of the decimal to get:

0.00009 ---> 9 x 10^-5

And 0.0001 ---> 1 x 10^-4

Comparing 9 x 10^-5  and 1 x 10^-4, we can see that 1 x 10^-4 has a greater power than that of 9 x 10^-5.

Therefore, 0.0001 is the greater value.


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Multiply through everything on the right side by <em>b/d</em> to get

\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd

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For the other side, you can do something similar and divide through everything by <em>d</em> :

\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}

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Then together we get the desired inequality.

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