Query 19

#$&*

course Mth 151

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:

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

confidence rating #$&*: 2

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

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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): OK

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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:

1 1

(5 * 10˄2) + (3 * 10˄1) + (6 * 10˄0)

(2 * 10˄2) + (7 * 10˄1) + (9 * 10˄0)

(8 * 10˄2) + (1 * 10˄1) + (5 * 10˄0)

800 + 10 + 5

815

confidence rating #$&*: 2

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

.............................................

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

______________________________

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'.

&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&

Self-critique (if necessary): I do not understand how you can get 915. It should be 815. You can add 536 + 279 on a calculator and it comes to 815. Did you just type that number wrong?

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Self-critique Rating: ??

@&

I did type the number wrong.

I've been aware of this error, but I've left it in to encourage students to question it.

Your result is correct.

*@

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

Write 536 + 279 in expanded notation.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

1 1

(5 * 10˄2) + (3 * 10˄1) + (6 * 10˄0)

(2 * 10˄2) + (7 * 10˄1) + (9 * 10˄0)

(8 * 10˄2) + (1 * 10˄1) + (5 * 10˄0)

800 + 10 + 5

815

confidence rating #$&*: 2

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

.............................................

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

______________________________

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'.

&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&

Self-critique (if necessary): I do not understand how you can get 915. It should be 815. You can add 536 + 279 on a calculator and it comes to 815. Did you just type that number wrong?

------------------------------------------------

Self-critique Rating: ??

@&

I did type the number wrong.

I've been aware of this error, but I've left it in to encourage students to question it.

Your result is correct.

*@

#*&!

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

Write 536 + 279 in expanded notation.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

1 1

(5 * 10˄2) + (3 * 10˄1) + (6 * 10˄0)

(2 * 10˄2) + (7 * 10˄1) + (9 * 10˄0)

(8 * 10˄2) + (1 * 10˄1) + (5 * 10˄0)

800 + 10 + 5

815

confidence rating #$&*: 2

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

.............................................

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

______________________________

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'.

&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&

Self-critique (if necessary): I do not understand how you can get 915. It should be 815. You can add 536 + 279 on a calculator and it comes to 815. Did you just type that number wrong?

------------------------------------------------

Self-critique Rating: ??

@&

I did type the number wrong.

I've been aware of this error, but I've left it in to encourage students to question it.

Your result is correct.

*@

#*&!#*&!

&#This looks good. See my notes. Let me know if you have any questions. &#