Write the following as a sum using power of ten to show place value.
0.300398
what is 3*10^-1 + 3*10^-4 + ....
To write the number 0.300398 as a sum using the power of ten to show place value, we need to break it down into its different place values.
The first digit after the decimal point is the tenths place, which can be expressed as 3/10 or 0.3.
The next digit after the tenths place is the hundredths place, which can be expressed as 9/100 or 0.09.
The next digit after the hundredths place is the thousandths place, which can be expressed as 0.008.
Finally, we have the last three digits, which are hundred-thousandths. These can be expressed as 0.000398.
Putting it all together, we can write 0.300398 as the sum:
0.3 + 0.09 + 0.008 + 0.000398