4_2

course Mth 151

????]??????????assignment #019019. `query 19

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College Algebra

07-10-2007

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13:12:48

query 4.2.6 53812 in expanded form.

What is 53812 in expanded form?

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RESPONSE -->

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

confidence assessment: 3

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13:13:01

STUDENT RESPONSE: (5*10^4) +(2*10^3) + (1*10^2) +(8 * 10^0)

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RESPONSE -->

OK

self critique assessment: 3

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13:16:31

query 4.2.20 536 + 279 in expanded notation

Write 536 + 279 in expanded notation.

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RESPONSE -->

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

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

= (7*10^2) + (10^10^1) + (15*10^0)

Carrying over any values greater than 9 we get:

(8*10^2) + (1*10^1) + (5*10^0)

815

confidence assessment: 3

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13:17:31

** 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. **

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RESPONSE -->

536+279 is 815, not 915

correct

self critique assessment: 2

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Very good responses. Let me know if you have questions. &#