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azamat
3 years ago
10

8.6 x10^-9 in standard form

Mathematics
1 answer:
katen-ka-za [31]3 years ago
4 0

-9 in power means that the value is in fractional and the 10 base is multipied 9 times and put it on denominator.

8.6 = 86 x 10^-1

Let's multiply :

86 x 10^-1 x 10^-9

= 86 x 10^-10

= 86/10000000000

=0,0000000086

Note : if you don't know about how 10^-1 x 10^-9 returns 10^-10, it's because of exponential rules. If the base are same wuth each other, then just do the addition operation in the exponent like this :

10^(-1+(-9))

= 10^(-1-9)

=10^-10

Hope it helps :)

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Answer:

  192

Step-by-step explanation:

It is always wise to look carefully at the question to see what information is given, and what information you are asked for. You are given two different fractions of the same number, and you want the value of a third fraction of that number. That third fraction is the sum of the other two.

__

The value of 80% of the number will be the sum of 55% and 25% of the number.

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80% of the number is 192.

_____

<em>Additional comment</em>

Your first clue that there may be something special about this problem lies in the fact that one fraction of a number is all you need in order to find any other fraction. Here, we're given two fractions (55% and 25%), so that is more information than we need. Why? Because it simplifies the problem to one of addition. No proportions need to be solved.

__

If you were interested, you could determine 100% of the number to be ...

  132/n = 55/100   ⇒   n = 132(100/55) = 240

or

  60/n = 25/100   ⇒   n = 60(100/25) = 240

Then ...

  0.80n = 0.80(240) = 192 . . . . 80% of the number

Or, you could write proportions for the 80% value:

  80%/55% = n/132   ⇒   n = 132(80/55) = 192 . . . . 80% of the number

  80%/25% = n/60   ⇒   n = 60(80/25) = 192 . . . . 80% of the number

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"Look carefully" includes thinking about the ways the <em>givens</em> and the <em>finds</em> are related.

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