<span>Scientific notation is the way that scientists easily handle very large numbers or very small numbers. Scientific notation is written by writting a decimal number between 1 and 10 together with an exponent of 10.
Given
![(4.23\times10^{12})\div(9.0\times10^6)](https://tex.z-dn.net/?f=%284.23%5Ctimes10%5E%7B12%7D%29%5Cdiv%289.0%5Ctimes10%5E6%29)
First, using distributive property of numbers, seperate the decimal numbers and the exponents of 10, we have
![(4.23\div9.0)\times(10^{12}\div10^6)=0.47\times10^{12-6}=0.47\times10^6](https://tex.z-dn.net/?f=%284.23%5Cdiv9.0%29%5Ctimes%2810%5E%7B12%7D%5Cdiv10%5E6%29%3D0.47%5Ctimes10%5E%7B12-6%7D%3D0.47%5Ctimes10%5E6)
Because, scientific notation requires that the decimal number part be a number between 1 and 10, we move the decimal point 1 place foward and subtract 1 from the exponent of 10.
Therefore, </span><span>
![(4.23\times10^{12})\div(9.0\times10^6)](https://tex.z-dn.net/?f=%284.23%5Ctimes10%5E%7B12%7D%29%5Cdiv%289.0%5Ctimes10%5E6%29)
in standard notation is
![4.7\times10^5](https://tex.z-dn.net/?f=4.7%5Ctimes10%5E5)
</span>
The way I like to solve proportions is by cross multiplying and dividing. First yo multiply the diagonals and then you divide by the other number. So if your proportion is 7/5 = x/3, your equation would be 7*3/5. So 7*3 is 21, so your equation is now 21/5. With some long division, you'll see that 21/5 = 4.2 That's your answer, feel free to ask more questions if you need!!(:
Your answer is going to be
23% :)
Answer:
6:8
6/8 or 3/4
Step-by-step explanation: