can someone help me please?

Question

anyone know tthe answer to this question? i don get it.... the instructions are:
Make the following calculations, expressing your answer in scientific notation.
The problem is:
2.30 x 10^-9
___________ <(this is a solid line like in a fraction)
3.60 x 10^-14

the (^) things mean the following number is an exponent- both are negative....

evil physics teacher....

Answer 1

[2.30/3.60]*10^5=

0.639*10^5=

6.39*10^4

that's the answer if you want scientific notation with 3 significant figures...

P.S. I have physic's exam tomorrow:(

Answer 2

Your problem seems to lie in understanding scientific notation. The problem is trivial once you understand it. Numbers like 10^n just mean a 1 with n zeroes after it. I think of it as writing a 1 then moving the decimal point to the right n places. Scientific notation is used because it allows us to express very large (and very small) numbers simply. It also allows us to do calculations on big and small numbers quickly. This is because the exponents add during multiplication. For example 1,000 x 100 = 100,000. In exponential notation this is 10^3 x 10^2 = 10^5. Just add the exponents. To take advantage of this, any number can be divided into two parts called the mantissa and the exponent. To get the mantissa, just move the decimal point over until the remaining number is between 1 and 10. That number is the mantissa. The exponent is how many times you moved the decimal point. For example: 360,000 becomes 3.6 x 10^5 because I moved the decimal five places to the left to get the 3.6. The number could just as well be 36 x 10^4, 360 x 10^3, 3600 x 10^2, etc. It is convention to make the mantissa between 1 and 10.

By now you might be annoyed that I have completely ignored the idea of a negative exponent. It is important to understand what I said above first. Remember 2.5 x 10^5 means take 2.5 and move the decimal 5 places to the right to get the number which is 250,000. If you have a negative exponent, like 3.2 x 10^-4 you move the decimal 4 places to the left to get 0.00032. A positive exponent tells you how many times you must multiply the mantissa by 10 to get the number. A negative exponent tells how many times to divide the mantissa by 10 to get the number.

Next, look at what happens when you multiply numbers in exponential notation:

(3.2 x 10^4) x (2.0 x 10^3) since the order of multiplication is unimportant this is: (3.2 x 2.0) x (10^4 x 10^3). I showed before how to handle multiplying the exponent part. Carrying this out the answer is 6.4 x 10^7. The rule is: multiply the mantissas and add the exponents.

Division is similar. Look at (3.2 x 10^4) / (2.0 x 10^3) this can be rewritten as (3.2/2.0) x (10^4/10^3) the first division is easy. In the second one, we are dividing the 10s to different powers. What that says here is to take 10^4 and divide it by ten 3 times (because the exponent is 3). Each division simply subtracts one from the exponent. That gives us the rule for division. Divide the mantissas and subtract the exponents.

With both these rules, it makes no difference if the exponents are positive or negative you just need to know how to add and subtract negative numbers.

Hopefully, the above gives you the understanding you need to very quickly solve your problem.

Answer 3

Just divide 2.3 by 3.6, which is .63. Add 14 to -9 (subtracting the bottom exponent from the top exponent) to get 5. Your answer is .63*10^5, or, 6.3*10^4 would be the answer put in proper form.

Answer 4

6.388 x 10^ 4 if memory serves me correctly.


You might want to invest in a calculator that can handle large exponents and has a scientific notation feature. In my day Texas Instruments made the best.

Answer 5

first work the exponents. a negative power of 10 is like dividing.
so 10^-9 is 1/10^9

so we get

2.30 * 10^-9 * 10^+14
_______________________
3.60


multiplying numbers with exponents is like adding the exponents

we get

2.30*10^(-9 + 14)
_____________ =
3.60

2.30 * 10^5
_____________ =
3.60

2.3/3.6 * 10^5

Answer 6

It's just a simple division of the two numbers. Nothing difficult about it.

Answer 7

Excel gives the answer as 63,888.8 recurring.

Answer 8

=5.00 x 10^6.

Answer 9

$1.98