Discover the Numeric Value of Y without a Calculator - Easy Methods!

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Homework Help Overview

The discussion revolves around calculating the numeric value of y, expressed as a sum of terms involving powers of ten: y = 2.3*10^5 + 6.1*10^6 + 3.2*10^7. Participants are exploring methods to compute this without the use of a calculator.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are discussing the challenges of computing large numbers quickly, with one participant questioning the feasibility of doing multiple similar problems in a limited time. Others suggest that practice may lead to discovering shortcuts for calculations.

Discussion Status

The discussion is ongoing, with participants sharing their thoughts on the time constraints and potential strategies for simplifying the calculations. Some guidance on practicing to find shortcuts has been offered, but no consensus has been reached on a specific method.

Contextual Notes

One participant expresses concern about the time required to solve multiple similar problems, indicating a need for efficient strategies. There is also mention of language barriers affecting communication.

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Numeric value of y.

y = 2.3*105+6.1*106+3.2*107

Without calculator, how? '-'
 
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Er, what exactly are you having trouble with? (e.g. do you know how to compute [itex]10^5[/itex]?)
 


If i compute 105 and others:

32000000+6100000+230000 = 38330000

But if i have 50 questions like that and 1 hour to do all the questions? '-'

Don't have a easy way?

Sorry, my english is bad.
 


Such a test would still give you over an entire minute per problem!

If it takes you more than a minute to do a problem like this, (even without any shortcuts!) then you just need to practice.


I fully believe if you do a dozen or so practice problems, you'll start to see some short-cuts of your own -- e.g. shorthand for some parts of the numeral, or some parts of the answer you can just write down without having to do any computation at all.

I suspect these short-cuts are probably better figured out on your own than taught. e.g. I could tell you that you didn't really need to write down the last 4 0's of each number in your scratch work, but I doubt me telling you would have the same impact as you figuring a short-cut out yourself after working through enough exercises. It's almost always easier to use your own short-cut than somebody else's short-cut. (even if they are essentially the same thing)
 


MatheusMkalo said:
Numeric value of y.

y = 2.3*105+6.1*106+3.2*107

Without calculator, how? '-'

This can be an exercise in managing zeros:

2.3 * 10^5 = 2.3 * 10^5
6.1 * 10^6 = 61. * 10^5
3.2 * 10^7 = 320. * 10^5
Sum = 383.3 * 10^5 = 3.833 * 10^7
 

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