course Mth 151
7/13 12
Question: `q001. There are 5 questions in this set.
From lectures and textbook you will learn about some of the counting systems used by past cultures. Various systems enabled people to count objects and to do basic arithmetic, but the base-10 place value system almost universally used today has significant advantages over all these systems.
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:
You have six 1’s, three 10’s and eight 100’s or 8 * 100 + 3 * 10 + 6 * 1
3
Ok
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Question: `q002. How would we write 34,907 in terms of powers of 10?
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Your solution:
3 * 10,000 + 4 * 1,000 + 9 * 100 + 0 * 10 + 7 * 1= 34,907
3
Ok
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Question: `q003. How would we write .00326 in terms of powers of 10?
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Your solution:
0 * .1 + 0 * .01 + 3 * .001 + 2 * .0001 + 6 * .00001
3
Ok
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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?
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Your solution:
357 + 542+ 899
3
Ok
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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?
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Your solution:
478 + 564= 1042
3
Ok
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