SOLUTION: I have freshman algebra, and I had an assignment today with scientific notation the problem was (3,000)^3. When solving the problem I multiplied 3,000 x 3,000 x 30000= 270,000

Algebra.Com
Question 235108: I have freshman algebra, and I had an assignment today with scientific notation
the problem was
(3,000)^3. When solving the problem I multiplied 3,000 x 3,000 x 30000= 270,000.00. I wrote the scientic notation as 2.7 x 10^9 was I correct

Found 2 solutions by solver91311, Edwin McCravy:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


In the first place 270,000.00 is not correct.

3000 times 3000 times 3000 is 27,000,000,000. The three 3s give you the 27 and the nine zeros give you nine zeros.

Then you wrote , so work backwards from your answer to check if that is correct.

Start with 2.7 and then move the decimal point 9 places to the right:

2,700,000,000. Compare that to 27,000,000,000. Ten times too small. So what you need is: .

You were off because 3 cubed is 27, but you are writing 2.7

John


Answer by Edwin McCravy(20063)   (Show Source): You can put this solution on YOUR website!
THAT'S NOT THE WAY YOU'RE SUPPOSED TO DO IT!


solver91311 showed you how to do it the way you were
trying it. You can indeed get the answer the way you're 
trying and the way solver91311 showed you, if you don't 
make a mistake.  But you aren't supposed to do it that
way!  Here's the way you're supposed to do it:



Write  as 



Consider  as 



Remove the parentheses by multiplying
the two inner exponents by the outer exponent:



Do the actual multiplying:



Since , replace  by 



But that is not scientific notation because
 is greater than , and the first part
of scientific notation must be between  and , inclusive
of 1 but exclusive of .  So write  in scientific
notation as :



Add the exponents of 10



Do the actual addition:



Edwin

RELATED QUESTIONS

I am struggling with advanced Scientific Notation. I need some help as even the... (answered by stanbon)
I keep confusing myself I do not understand the slope formula and I have an assignment... (answered by stanbon,richwmiller)
I am an online student for Algebra II and the program does not give explanations for... (answered by josmiceli)
Scientific Notation in problem solving. For this problem, use the approximate average... (answered by josgarithmetic)
I keep confusing myself on how to substitute given points. Write the equation of a line... (answered by stanbon)
I have tried to solve this using several equations, none seem to work. The one that I... (answered by edjones)
Hi. I did a problem today that had me find the roots of an equation using the quadratic... (answered by stanbon,richard1234,solver91311)
I might not have the topic exactly right, but I have an issue. This assignment was due... (answered by josgarithmetic,Edwin McCravy,MathLover1,ikleyn)
Hello, I am stuck on how to do the problem below. I think it's the exponent that is... (answered by josgarithmetic)