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Tuesday, November 9, 2010
hw #2-9 Unit Review
Woe is the question that is never asked, for it is n'er answered...- (what Shakespeare would have said to get you to participate on the blog).
And by the way, if someone else has a question YOU can answer it instead of me!
Mr Chamberlain i was taking the pearson unit 2 review test and I got one wrong the problem was simplify -6 to the fourth power I got 1,296 but the computer said that it was wrong and the answer is -1,296 who is right?
When you see a negative sign in front of a number or variable, you can treat it as a coefficient of -1. A coefficient is a multiplier.
So, -6^4 is really -1*6^4.
If you evaluate -1*6^4 you would perform the 6^4 first (yielding 1296) and then multiply by -1, yielding -1296. Fully "STRETCHED" it would look like this: (-1)(6)(6)(6)(6)
Contrast that problem with (-6)^4. Since the negative sign is within the parens, if you STRETCH the problem to the fullest, you would get: (-1*6)(-1*6)(-1*6)(-1*6) which equals (-6)(-6)(-6)(-6) which equals +1296
for number 17 and 19, would the answer be a long fraction because it is a repeating decimal? I just checked my work on the website and 17 is 2/3 but i got a long decimal because it is a repeating fraction??
The method for solving #17 and #19 is detailed very nicely on page 61 in the text book. It is an interesting technique, please take a look at it. However, since we did NOT cover this particular technique in class, so it will NOT be on the test. However, I would expect you to know that .6(repeating) is equivalent to 2/3.
Anonymous said...
ReplyDeleteMr Chamberlain i was taking the pearson unit 2 review test and I got one wrong the problem was simplify -6 to the fourth power I got 1,296 but the computer said that it was wrong and the answer is -1,296 who is right?
When you see a negative sign in front of a number or variable, you can treat it as a coefficient of -1. A coefficient is a multiplier.
ReplyDeleteSo, -6^4 is really -1*6^4.
If you evaluate -1*6^4 you would perform the 6^4 first (yielding 1296) and then multiply by -1, yielding -1296. Fully "STRETCHED" it would look like this:
(-1)(6)(6)(6)(6)
Contrast that problem with (-6)^4. Since the negative sign is within the parens, if you STRETCH the problem to the fullest, you would get:
(-1*6)(-1*6)(-1*6)(-1*6) which equals
(-6)(-6)(-6)(-6) which equals +1296
So the question is:
Does -6^4=(-6)^4
The answer is a resounding NO!
for number 17 and 19, would the answer be a long fraction because it is a repeating decimal? I just checked my work on the website and 17 is 2/3 but i got a long decimal because it is a repeating fraction??
ReplyDeleteThe method for solving #17 and #19 is detailed very nicely on page 61 in the text book. It is an interesting technique, please take a look at it. However, since we did NOT cover this particular technique in class, so it will NOT be on the test. However, I would expect you to know that .6(repeating) is equivalent to 2/3.
ReplyDelete