#$&* course mth151 12/7/14 9:50 If your solution to stated problem does not match the given solution, you should self-critique per instructions at
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Given Solution: 2 means 2 * 10^0 1 means 1 * 10^1 8 means 8 * 10^2 3 means 3 * 10^3 5 means 5 * 10^4 Thus the number 53812 means (5*10^4)+(3*10^3)+(8*10^2)+(1*10^1)+(2*10^0). &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& Self-critique (if necessary):ok ------------------------------------------------ Self-critique Rating:ok ********************************************* Question: `q query 4.2.20 536 + 279 in expanded notation Write 536 + 279 in expanded notation. YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY Your solution: 5*10^2 + 3*10^1 + 6*10^0 + 2*10^2 + 7*10^1 + 9*10^0 (5*10^2 + 2*10^2) + (3*10^1 + 7*10^1) + (6*10^0 + 9*10^0) 7*10^2 + 10*10^1 + 15*10^0 10*10^1 = 1*10^2 15*10^2 = 1*10^1 + 5*10^0 7*10^2 + 1*10^2 +1*10^1 + 5*10^0 8*10^2 + 1*10^1 + 5*10^0 this can be written as 815. confidence rating #$&*: ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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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 ______________________________ 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): you might want to check your answer again. 536 + 279 is not 915. when you added the 5*10^2 + 2*10^2 you got ahead of yourself and put down 8*10^2,instead of 7*10^2, which should have only been done after adding the extra 1*10^2 that resulted from the 10*10^1. ------------------------------------------------ Self-critique Rating:3