How do I find this? 60x10-6 = ?

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Homework Help Overview

The discussion revolves around understanding the notation and calculation of numbers expressed in scientific notation, specifically focusing on the expression 60x10^-6. Participants are exploring the meaning and application of this notation in various contexts, including unit conversions in physics.

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to clarify the meaning of scientific notation and how to convert between standard and scientific forms. Questions about the origins of the notation and its appropriate usage in different scenarios are raised.

Discussion Status

Some participants are providing examples to illustrate their points, while others are questioning the reasoning behind the use of specific powers of ten. There is an ongoing exploration of when and why to use scientific notation, particularly in relation to SI units.

Contextual Notes

Participants mention specific examples involving measurements and units, such as millimeters and gigapascals, and discuss the significance of prefixes in the International System of Units (SI). There are also notes on potential misunderstandings regarding the notation used for powers of ten.

Vancurt
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I don't understand where it comes from.

Say for example 60x10-6

or sixty times 10 to the power of mines six.

How do I find the last part?
 
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Vancurt said:
I don't understand where it comes from.

Say for example 60x10-6

or sixty times 10 to the power of mines six.

How do I find the last part?

1x10^-6 = 0.000001

10x10^-6 = 0.000010

60x10^-6 = _________

Does that help?
 
60x10-6 = 1 / (60x106)

106 = 10 * 10 * 10 * 10 * 10 * 10 = 1,000,000

10-6 = 1 / (10 * 10 * 10 * 10 * 10 * 10) = 1/1,000,000


Try..

1/(3-2) = ?
 
CWatters said:
60x10-6 = 1 / (60x106)

No. In fact, 60 × 10-6 = 60 / 106.
 
I know what it means but what I don't understand is where it comes from I mean like when do I know when to use it?

For example:

150mm dia
Elasticity 200gpaBut I wrote it down as 150x10^-3 and 200x10^9

I could of left it as 150 and 200 but I changed it to ^ instead, why did I do it and how did I know that it was ^-3 and ^9?
 
Last edited:
Vancurt said:
I know what it means but what I don't understand is where it comes from I mean like when do I know when to use it?

For example:

150mm dia
Elasticity 200gpa


But I wrote it down as 150x10^-3 and 200x10^9

I could of left it as 150 and 200 but I changed it to ^ instead, why did I do it and how did I know that it was ^-3 and ^9?

The prefixes are part of the definition of the International System of units ("SI" units):

http://physics.nist.gov/cuu/Units/prefixes.html

And note that "Giga" (10^12) uses a capital "G", not a lowercase one as you have written. :smile:
 

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