anonymous
  • anonymous
plz help i really need i will fan and medal. An ant has a length of approximately 7 × 10^ -3 meters and an anaconda has a length of approximately 6 x 10^0 meters. About how many times longer is the anaconda as compared to the ant?
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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unimatix
  • unimatix
Anything to the zero power is 1. So 6 x 10^0 is just 6 * 1.
anonymous
  • anonymous
so what the comparsion
unimatix
  • unimatix
Then when you have 10^-3 you just move the decimal place to the left 3 times.

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anonymous
  • anonymous
im still confused
unimatix
  • unimatix
|dw:1443930737970:dw|
unimatix
  • unimatix
|dw:1443930810767:dw|
freckles
  • freckles
About how many times longer is the anaconda as compared to the ant? since we see times think about dividing anaconda's length by the ant's length
anonymous
  • anonymous
so how would if figure out the comparison
freckles
  • freckles
I put anaconda on top because we want to know how many times longer the anaconda is compared to the other guy
anonymous
  • anonymous
do i only divide the first numbers
freckles
  • freckles
there are two numbers the anaconda's length which is given by 6*10^0 and the ant's length which is given by 7*10^(-3) you divide anaconda's length by ant's length
freckles
  • freckles
\[\frac{6 \cdot 10^{0}}{7 \cdot 10^{-3}}\]
freckles
  • freckles
you could write as two separate fractions if you want though
freckles
  • freckles
\[\frac{6}{7} \cdot \frac{10^0}{10^{-3}}\]
freckles
  • freckles
use law of exponents on the second fraction
freckles
  • freckles
do 6/7 for the first fraction
anonymous
  • anonymous
1.166
freckles
  • freckles
you did 6/7?
anonymous
  • anonymous
yes did i not do it right :(
freckles
  • freckles
actually you did 7/6 instead of 6/7
anonymous
  • anonymous
o ok then it o.875
anonymous
  • anonymous
sorry 0.857
freckles
  • freckles
yep that is approximately correct \[\frac{6 \cdot 10^{0}}{7 \cdot 10^{-3}} \\ =\frac{6}{7} \cdot \frac{10^{0}}{10^{-3}} \\ =.857 \cdot 10^{0-(-3)}\] once you simplify that one exponent we have one more step
anonymous
  • anonymous
how do i simplify the exponent
freckles
  • freckles
well 0-(-3) is the same 0+3... wait what is the goal put answer in scientific notation or decimal notation ?
anonymous
  • anonymous
to find the comparison of the ant and the anaconda
freckles
  • freckles
so I guess it doesn't matter what form?
anonymous
  • anonymous
put it in scientific form
freckles
  • freckles
anyways let's aim for scientific notation since there other numbers were in scientific notation but honestly have no clue what notation they want the answer in
freckles
  • freckles
\[\frac{6 \cdot 10^{0}}{7 \cdot 10^{-3}} \\ =\frac{6}{7} \cdot \frac{10^{0}}{10^{-3}} \\ =.857 \cdot 10^{0-(-3)}\] so you should see 0-(-3) is 3
freckles
  • freckles
\[=.857 \cdot 10^{3}\]
freckles
  • freckles
now this is not in scientific notation yet
freckles
  • freckles
we need the decimal in the first number to be between the 8 and 5
anonymous
  • anonymous
so its .857. 10 to the power of tree
freckles
  • freckles
tree :p
anonymous
  • anonymous
sorry three
freckles
  • freckles
and no for it to be scientific notation we want one digit to the left of the decimal point for the first number that digit can be 1,2,3,4,5,6,7,8, or 9 (or a negative version of those numbers)
anonymous
  • anonymous
can u help me with another one
freckles
  • freckles
\[.857 \cdot 10^{3} =8.57 \cdot 10^?\]
freckles
  • freckles
can you guess what the ? is
anonymous
  • anonymous
-3
freckles
  • freckles
we we only moved the decimal once and we moved the decimal left so moving it once you will either have 3+1 or 3-1 the direction you move it in determines if it was the adding 1 or the subtract 1
anonymous
  • anonymous
o ok so i would be 2
freckles
  • freckles
\[.857 \cdot 10^{3} =8.75 \cdot 10^{-1} \cdot 10^{3} =8.57 \cdot 10^{3+(-1)} \\ =8.57 \cdot 10^{2}\] that is right and this answer is in scientific notation
anonymous
  • anonymous
by the way do u mind helping me with another one
freckles
  • freckles
sure
anonymous
  • anonymous
The total number of living humans on Earth was converted to scientific notation using an online calculator and was reported to be approximately 7.158 × 109. Write Earth's population as a single digit times an integer power of 10 and in standard form.
anonymous
  • anonymous
7.158 * 10^9
freckles
  • freckles
so it is looking for us to round 7.158 it seems
freckles
  • freckles
to the nearest integer
freckles
  • freckles
then tack on the 10^9 part
freckles
  • freckles
but then it also looks like it is asking another question
freckles
  • freckles
to write the number in standard form afterwards
freckles
  • freckles
so first step round 7.158 to the nearest integer
anonymous
  • anonymous
soo 7.000 times 10^9 the rewrite in standard form
freckles
  • freckles
right you don't need all of those zeros though
freckles
  • freckles
\[7 \times 10^{9}\]
anonymous
  • anonymous
ok so just 7. or just 7
freckles
  • freckles
you can write any one of the following: 7.000000000000000000000 7.00000000000000 7.000000000 7.0000 7.00 7.0 7. 7 all of these are fine all of these say 7 I prefer just 7 (also I could have continued with this list :p)
anonymous
  • anonymous
ya i think 7 is easy
freckles
  • freckles
now what we are gonna do is right 7 then a bunch of zeros ... |dw:1443932279973:dw|
anonymous
  • anonymous
how would we write \[7\times 19^{9}\]
freckles
  • freckles
|dw:1443932358026:dw|
freckles
  • freckles
you need to go 8 more
anonymous
  • anonymous
so 19
freckles
  • freckles
what ...
freckles
  • freckles
we had 7*10^9 this is why we are counting 9 places to the right of where the decimal was in 7 or 7.
freckles
  • freckles
|dw:1443932473230:dw| you have 7 more spots to move
anonymous
  • anonymous
u said count each spot between the zero
anonymous
  • anonymous
if the deicame was there all the way to the end is 11
anonymous
  • anonymous
right
freckles
  • freckles
we only need to go 9 spots
freckles
  • freckles
because we had 7*10^9
freckles
  • freckles
for example 7*10=70 7*10^2=700 7*10^3=7000 7*10^4=70000 7*10^5=700000 and so on...
freckles
  • freckles
|dw:1443932712840:dw|
freckles
  • freckles
so we did not need those other 2 zeros at the end
freckles
  • freckles
I just wrote 7 and a bunch of zeros then I counted 9 spots because we had 7*10^9
anonymous
  • anonymous
o ok that's how you write in standard form
anonymous
  • anonymous
with only 9 zeros
freckles
  • freckles
yes so that number would be 7,000,000,000 if you want to put the commas there it is not necessary though
anonymous
  • anonymous
btw if you don't mind helping me with one more but only if you want to and thx for all the help
freckles
  • freckles
sure
anonymous
  • anonymous
ok thx
anonymous
  • anonymous
The giant pandas at the zoo consume approximately 30 pounds of bamboo each day. If you were to collect data on the amount of bamboo consumed each month, which unit should you use to record your data? Explain.
freckles
  • freckles
what unit is it talking about?
freckles
  • freckles
I would assume you would use months... since you are recording the bamboo consumption each month :p
anonymous
  • anonymous
what do you mean?
freckles
  • freckles
@Hero do you know what it is talking about here?
freckles
  • freckles
the weight unit would be pounds and the time units would be months
anonymous
  • anonymous
what units are you talking about
freckles
  • freckles
but I don't know if that is what they are talking about
freckles
  • freckles
sounds odd to me
anonymous
  • anonymous
i think its asking how man pound of bamboo the panda eats a month and he eats 30 pound a day
anonymous
  • anonymous
this is what it meant about uints Units of time are second, minute, hour, day, week, month, year and decade
freckles
  • freckles
well we see a day he eats about 30 pounds and a month contains about 30 days so in a month he can eat about 30*30 pounds which is 900 pounds you can still use pounds for the weight unit but I guess a better choice might be kilograms
anonymous
  • anonymous
ok so the panda eats 990 pound of bamboo each month
freckles
  • freckles
well if we assume he eats about 30 pounds each day and we know a month is about 30 days then in a month he can probably each about 30*30=900 pounds give or take depending on the month but the 900 part is a big number so you can use a different unit so we can work with smaller numbers
Hero
  • Hero
Lbs per month
anonymous
  • anonymous
im confused am im using pounds or kilograms
freckles
  • freckles
I still don't get the question because you can go with either of those weight units... I don't understand why it is asking what units to use? It sounds odd to me.
anonymous
  • anonymous
its ok if get it wrong i wont be problem just try what you think it is because right now im blanked out im so confused on what to do
Hero
  • Hero
At least for the first few months. And then after the numbers get two big, say after a year, then switch to more appropriate units.
anonymous
  • anonymous
so stay with pounds
anonymous
  • anonymous
or lbs
Hero
  • Hero
I would personally prefer to work with lbs as long as I could until the numbers get too large.
anonymous
  • anonymous
ok thx for all the help and getting me to the answer

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