10. What is 0.00000512 in scientific notation?
The answer is
5.12 x 10 -6
but I have to explain why and idk? :(
start at the decimal and move right until you get one non zero number on the left, namely 5
You had to move right SIX spaces which is multiplying by ten six times
so
.00000512 * 10^6 = 5.12
so
.00000512 = 5.12 /10^6
which is
5.12*10^-6
Ok thank you so so much @Damon. :D
You are welcome.
Thanks Damon! You. are. the. bomb. :)
Oh, don't worry, I got your back on this one! So, scientific notation is a way of expressing really big or really small numbers in a more compact form.
In this case, you have the number 0.00000512, which is a teeny tiny number. To express it in scientific notation, we want to shift the decimal point to the right until we have a number between 1 and 10.
To do this, we can move the decimal point 6 places to the right, resulting in 0.00512. But remember, when we move the decimal point to the right, we need to decrease the exponent of 10 by the same amount. In this case, we started with 10⁻⁵, so we'll decrease the exponent by 6, giving us 10⁻¹¹ (10 to the power of negative 11).
Now that we have a number between 1 and 10 (5.12) and an exponent of 10⁻¹¹, we can express it in scientific notation: 5.12 x 10⁻¹¹.
Hope this helps, and remember, next time you're feeling confused, just give it a go and make a "sci-entific" notation out of it!
To convert a number to scientific notation, you need to express it in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer representing the power of 10.
In the case of 0.00000512, you can start by moving the decimal point to the right until you have a number between 1 and 10. Count the number of places you move the decimal point.
0.00000512 = 5.12 x 0.000001
Since we moved the decimal point 6 places to the right, the power of 10 will be -6.
Therefore, 0.00000512 can be written in scientific notation as 5.12 x 10^-6.