Question

Express 10700000000 ; n = 9 in the form k×10n with the given value of n​

Answer 1

Answer:

10.7 x 10⁹

Step-by-step explanation:

Method 1

Since the value for n is 9, the value we should get is 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 ( ten is multiplied by itself 9 times)

then,

10700000000 divided by 10⁹ ( or 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10= 10000000000)

that is 10.7

now since we have to write 10700000000 in scientific notation ( 10ⁿ),

we can write it as 10.7 ( the answer we got above) x 10⁹

If this method isn't clear, consider the following method :

Method 2

The number we have is 10700000000 and we have to write in as a scientific notation.

By considering the number that is as the power of 10, in this case, 9,

keep the value as 10700000000.0 and move the decimal point by 9 digits towards the left hand side.

Then you will get 10.7 . All you have to do now is write "x 10⁹" next to 10.7

If the number given as n ( a negative value) is less than 0 move the decimal point in the right hand direction by the number of times given as n. like this,

express 0.00000000178; n= -10 in the form k x 10ⁿ

Then move the decimal point by ten numbers to the left hand side.

Then you will get 17.8 now all you have to do is write "x 10⁻¹⁰

So all you have to remember is this:

if the number given as n is a negative value, move the decimal point n times to the left hand side. If n is a positive value, move it n times to the write hand side

I prefer using the 2nd method when doing calculations as it is faster. Hope it helps you in some way too.