How do you write 2120.6 2120.6 in scientific notation?

1 Answer
Mar 9, 2016

2.1206xx10^32.1206×103

Explanation:

The target format is 2.12062.1206

To achieve this we would keep the decimal point where it is and slide the number 2120.62120.6 to the right for 3 digits.

So mathematically we apply :" "2120.6 xx 1/10^3 2120.6×1103

But in doing this on its own changes the value.

But we can make 1/10^31103 be part of 1 in that we have color(brown)(10^3/10^3)103103

color(brown)("If we multiply a number by 1 we do not change its value!")If we multiply a number by 1 we do not change its value!

2120.6xx10^3/10^3" " =" "2120.6xx1" " =" " 2120.62120.6×103103 = 2120.6×1 = 2120.6

2120.6/10^3xx10^3" " =" "2120.6xx1" " =" " 2120.62120.6103×103 = 2120.6×1 = 2120.6

Apply the 2120.6 -: 10^32120.6÷103

2.1206xx10^3" " =" "2120.6xx1" " =" " 2120.62.1206×103 = 2120.6×1 = 2120.6