Assignment 41

#$&*

course mth 151

018. Base-10 Place-value Number System

*********************************************

Question: `q001. There are 5 questions in this set.

The key to the base-10 place value system is that each digit in a number tells

us how many times a corresponding power of 10 is to be counted.

For example the number 347 tells us that we have seven 1's, 4 ten's and 3

one-hundred's, so 347 means 3 * 100 + 4 * 10 + 7 * 1.

Since 10^2 = 100, 10^1 = 10 and 10^0 = 1, this is also written as

3 * 10^2 + 4 * 10^1 + 7 * 10^0.

How would we write 836 in terms of powers of 10?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

8 * 100 + 3 * 10 + 6 * 1

8 * 10^2 + 3 * 10^1 + 6 * 10^0.

confidence rating #$&*: very confident

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

*********************************************

Question: `q002. How would we write 34,907 in terms of powers of 10?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

3 * 10^4 +4 * 10^3 +9 * 10^2 + 0 * 10^1 + 7 * 10^0

confidence rating #$&*: very confident

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

*********************************************

Question: `q003. How would we write .00326 in terms of powers of 10?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

.00326

0 * 10^-5 +0 * 10^-4 +3 * 10^-3 + 2 * 10^-2 + 6 * 10^-1

confidence rating #$&*: not very confident

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

Self critique - right method used backwards

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

Given Solution:

0 * 10^-1 + 0 * 10^-2 + 3 * 10^-3 + 2 * 10^-4 + 6 * 10^-5 .

*********************************************

Question: `q004. How would we add 3 * 10^2 + 5 * 10^1 + 7 * 10^0 to 5 * 10^2 + 4

* 10^1 + 2 * 10^0?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

3 * 10^2 + 5 * 10^1 + 7 * 10^0 to 5 * 10^2 + 4 * 10^1 + 2 * 10^0?

357 + 542 = 899

confidence rating #$&*: very confident

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

*********************************************

Question: `q005. How would we add 4 * 10^2 + 7 * 10^1 + 8 * 10^0 to 5 * 10^2 + 6

* 10^1 + 4 * 10^0?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

4 * 10^2 + 7 * 10^1 + 8 * 10^0 =478

5 * 10^2 + 6 * 10^1 + 4 * 10^0 =564

478 + 564 = 1042

=====================================================================================================

018. `query 18

*********************************************

Question: `qquery 4.1.6 egyptian form of 23,145

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

23,145

two fingers pointing up

3 water lillies or lotus

1 scroll

4 heel bones

5 sticks

confidence rating #$&*: very confident

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

*********************************************

Question: `qquery 4.1.30 lll sssss hhhh tt + ll sss sss hh ttt ttt

Using p, l, s, h, t for pointing finger, lotus flower, scroll, heel bone and

tally stick explain how you obtained the given sum.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

lll = 3000

sssss = 500

hhhh = 40

tt = 2 ==> 3,542

ll = 2000

ssssss = 600

hh = 20

tttttt = 6 ==> 2,626

3542 + 2626 = 6168

confidence rating #$&*: very confident

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

*********************************************

Question: `qquery 4.1.30 ppp ll h ttt + pp l sssss hhhh hhhh tttt tttt

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

ppp ll h ttt

ppp = 30000

ll = 2000

h = 100

ttt = 3 ==> 32,013

pp l sssss hhhh hhhh tttt tttt

pp = 20000

l = 1000

sssss= 500

hhhhhhhh= 80

tttttttt=8 ==> 21,588

32013 + 21588 = 63601

confidence rating #$&*: very confident

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

"

Self-critique (if necessary):

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

Self-critique rating:

________________________________________

#$&*

&#Your work looks good. Let me know if you have any questions. &#