Engineering Notation Convertions

purple:

express each number in engineering notation: 2.35*10 to the power of 5
7.32*10 to the power of 7
1.333*10 to the power of 9

Engineering notation usually means expressing the exponent of the power of ten in multiples of 3. So:

235*10 ³
73.2*10 ⁶
1.333*10 ⁹

Will you please show the work, I'm puzzled !

1) 10kilohms / (2.2kilohms + 10kilohms)

2) 250millivolts / 50microvolts

3) 1megawatt / 2kilowatts

I thank the person that will help me with these math problems, :0)

[quote="purple"]:?: Will you please show the work, I'm puzzled !

2.35*10 ⁵ can be written as 2.35*10 ²*10 ³ using the law of indices (have a look at the Formulary on this site). Since 10 ² is 100, we can multiply the 2.35 by 100 to get 235, which, together with the 10 ³ results in 235*10 ³

7.32*10 ⁷ can be written as 7.32*10*10 ⁶, which is 73.2*10 ⁶.

In engineering notation we try to get the power of 10 to be a multiple of 3. The first example above leaves just 3 as the power of ten; the second example leaves 6, which is exactly divisible by 3, as the power of 10.

Thank you Alan,
I had not heard of engineering notation before but it does make good sense to present numbers in this way.
Hopefully I will remember it.
Melody.

Melody:

Thank you Alan,
I had not heard of engineering notation before but it does make good sense to present numbers in this way.
Hopefully I will remember it.
Melody.

I don't think many engineers bother with this notation! In a lifetime in the engineering industry I only ever came across scientific notation being used for real.

Okay, thanks Alan. It still looks like a friendly alternative but I guess there is not a need for multiple number presentations.

isn't engineering notation standard form, ie xE6 for x (ttimes) 10^6? Or can you explain the difference?

jameswriter:

isn't engineering notation standard form, ie xE6 for x (ttimes) 10^6? Or can you explain the difference?

I think x*10 ⁶ is engineering notation as long as x is between 1 and 999. However, if x is , say, 2000, then I think in engineering notation the number would be written as 2*10 ⁹ rather than 2000*10 ⁶. That, at least, is my understanding of the notation. However, it's not something I can get very excited about one way or the other!

Here is an extract from http://en.wikipedia.org/wiki/Engineering_notation:

"Engineering notation is a version of scientific notation in which the powers of ten must be multiples of three (i.e., they are powers of a thousand, but written as, for example, 10 ⁶ instead of 1000 ²).[1] As an alternative to writing powers of 10, SI prefixes can be used, which also usually provide steps of a factor of a thousand.[2]"