Assignment 19 query

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course Mth 151

05/06/20111212

If your solution to stated problem does not match the given solution, you should self-critique per instructions at

http://vhcc2.vhcc.edu/dsmith/geninfo/labrynth_created_fall_05/levl1_22/levl2_81/file3_259.htm

Your solution, attempt at solution. If you are unable to attempt a solution, give a phrase-by-phrase interpretation of the problem along with a statement of what you do or do not understand about it. This response should be given, based on the work you did in completing the assignment, before you look at the given solution.

019. `query 19

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Question: `q query 4.2.6 53812 in expanded form.

What is 53812 in expanded form?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: this would be: (5*10^4)+(3*10^3)+(8*10^2)+(1*10^1)+(2*10^0)

confidence rating #$&*:

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Given Solution:

2 means 2 * 10^0

1 means 1 * 10^1

8 means 8 * 10^2

3 means 3 * 10^3

5 means 5 * 10^4

Thus the number 53812 means

(5*10^4)+(3*10^3)+(8*10^2)+(1*10^1)+(2*10^0).

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Self-critique (if necessary):n/a

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Self-critique Rating:3

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Question: `q query 4.2.20 536 + 279 in expanded notation

Write 536 + 279 in expanded notation.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: 5 * 10^2 + 3 * 10^1 + 6 * 10^0 +2 * 10^2 + 7 * 10^1 + 9 * 10^0=9 * 10^2 + 0 * 10^1 + 15 * 10^0.

confidence rating #$&*:

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Given Solution:

`a** We write this sum as

5 * 10^2 + 3 * 10^1 + 6 * 10^0 +

2 * 10^2 + 7 * 10^1 + 9 * 10^0

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8 * 10^2 + 10* 10^1 + 15* 10^0. Since 10 * 10^1 = 10^2 we can write this as

9 * 10^2 + 0 * 10^1 + 15 * 10^0.

Since 15 * 10^0 = 10 * 10^0 + 5 * 10^0 = 10^1 + 5 * 10^0 we rewrite this as

9 * 10^2 + 1 * 10^1 + 5 * 10^0.

This result is expressed in our place-value system as

915. **

STUDENT QUESTION:

When adding the 6*10^0 and the 9*10^0 I don’t carry the one like in regular math?

INSTRUCTOR RESPONSE:

We're not applying the rules for addition as we all learned them in elementary school, but reasoning our results out from the more basic perspective of a place-value system.

6 * 10^0 + 9 * 10^0 = 15 * 10^0.

15 * 10^0 means 10 * 10^0 + 5 * 10^0, and since 10 * 10^0 = 10^1 we conclude that our original expression 15 * 10^0 is equal to 1 * 10^1 + 5 * 10^0.

This is the reason you 'carry the 1'.

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Self-critique (if necessary):n/a

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Self-critique Rating:e

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