Question

Can someone please work through this one question so I know what to do for the other 9? How the testing system works for me is that they give me the test without properations. So, I'm at a loss here.

Answer 1

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
$(4.23\times10^{12})\div(9.0\times10^6)$

First, using distributive property of numbers, seperate the decimal numbers and the exponents of 10, we have
$(4.23\div9.0)\times(10^{12}\div10^6)=0.47\times10^{12-6}=0.47\times10^6$

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, $(4.23\times10^{12})\div(9.0\times10^6)$
in standard notation is
$4.7\times10^5$