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Exponential
and Scientific Notation
Have
fun while we teach you exponential and scientific notation
in a fun way with amusement parks.
Exponents
Have you
ever seen something that looks like 4 with a little 3 above
and to the right of it? That's an Exponent. It means 4x4x4.
So, if the little number is 7, then you multiply the normal
sized number by itself seven times. Got it? Try some of these:
Give the
answer to these exponents:
Questions
4 (little
2)
7 (little
7)
1 (little
9,000,000,000,000,000,000,000,000,000,000,000,000)
The answers
are as follows: 16, 823,543, and 9,000,000,000,000,000,000,000,000,000,000,000,000.
Now try
these:
Write the exponent for these problems: 5x5x5x5x5x5x5
6x6x6
10x10x10x10
25x25x25x25x25
Answers
are: 5 (little 7), 6 (little 3) 10 (little 4) and 25 (5)
That sums
that part of that up.
Scientific
Notations
Now the
Scientific notations. These involve exponents, so that's I
introduced you to those first. When you have a large number
such as 9,876,000, simply move the decimal over behind the
front most digit. You then have 9.876. Then count how many
places you moved the decimal. It was moved six times. So the
whole notation is 9.876x10(little 6). Now, write this in Scientific
Notation.
708,900.
Questions
If you
wrote 7.089x10(little 5), boy, do you cook hot dogs with propane
(you got it right)! Try this funky rollercoaster of a problem:
549,789,657,895,345,676,254,657,890,765,000,456,778,234,567.
Good luck…
Now, you
probably hate me by now, but if you said 5.49789657895345676254657890765000456778234567x10(little
46) I think you understand this. If you rounded to 5.5x10(little46)
boy, you saved yourself some hair. Now try taking this notation
and making it a number. Remember how to use exponents or else
you won't bask in the warmth of success (eh…).
2.34x10(little 3)
2,340 is correct here.
Big
test
Again,
I force you into a chair and glue a pencil to your hand to
make you do these problems.
1. A hot
dog vendor at Disney needs 2.567x10(little 3) hot dogs for
the week. How many hot dogs does he need?
2. 3,456,700 people went to Universal studios in a month.
In Scientific notation, what is this?
Number
1 is 2,567. Number two is a whopping 3.4567x10(little 6)
If you
got those, you have once again passed a horribly horrendous
Sunshine State Objective under a Sunshine State Standard.
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