The number of water droplets in a specific body of water is 123,000,000,000,000. Write this number in scientific notation. How did you get this answer?

Step-by-step explanation:

A number written in scientific notation consists of two parts that are multiplied.

The first part is a number that is greater than or equal to 1 and less than 10.

The second part is an integer power of 10.

Start with your number, 123,000,000,000,000.

All the zeros are place holders. To get a number out of it that is greater than or equal to 1 and less than 10, you move the decimal place to just to the right of the 1, like this: 1.23

Now you know very well that 1.23 is much, much smaller than the original number, but if you multiply it by a power of 10, you will get the original number.

To know the exponent of 10 you need to use, count the number of decimal places that the original number changed to become 1.23.

Original number: 123,000,000,000,000.

Notice the decimal place is all the way at the right after the last zero.

The new number is

1.23000000000000

How many places did the decimal place move? 14

Therefore, the answer is

step-by-step explanation:

one of the most important purposes of surface treatment is to alter surface properties according to the requirement of specific applications. for example, hydrophobic coating has been utilized on windshield and eyeglasses. gold atom monolayer on substrate has become a popular surface bioconjugation strategy.  

your exact question is kind of difficult to understand, so maybe an example will explain what you're supposed to do? i'll work through the first problem on the worksheet.

suppose you have a tray of 652 brownies, and you have 5 friends that you want to feed without picking favorites. how many brownies can you dole out to each of your friends in equal amounts? how many will be left over for you to eat?

what you're doing here is finding a way to arrange the number 652 as the sum of integer multiple of 5 and some remainder:

here ("q" for quotient) is the number of brownies each of your friends get, and is the remainder. that's the basic idea behind division.

we break up the number 652 into parts so that the leading digit stands on its own:

652 = 600 + 52

first we check if it's possible to hand out exactly 100 brownies to each friend. with 5 friends, this means we want to know if we can take out 500 brownies from the tray. we can do this 1 time because we have 600 brownies to take from, and when we do that we're left with 100 + 52 brownies to divvy up. so we know that

652 = 1*500 + 152

next we want to know if it's possible to hand out exactly 10 brownies per friend. if we can, we have to remove 50 brownies from the tray each time until we can't. we have 152 brownies left, and we know that 3(50) = 150, so

152 = 3*50 + 2

now we have 2 brownies left in the tray. is it possible to hand 1 out to each of your 5 friends? no, you'd need a minimum of 5 brownies to do that. so the last 2 are yours.

putting everything together, we found that

652 = 1*500 + 3*50 + 2

and we can rearrange this to write

652 = 5*100 + 5*30 + 2

652 = 5(100 + 30) + 2

652 = 5*130 + 2

so and .

you might be more accustomed to the table depicting the algorithm. that's just a compact way of organizing what we've done above. you can consult the image i've attached below.