How do you write $2120.6$ $2120.6$ in scientific notation?

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Answer 1 · 2016-03-09T16:17:48

$2.1206 \times 10^{3}$ $2.1206xx10^3$

The target format is $2.1206$ $2.1206$

To achieve this we would keep the decimal point where it is and slide the number $2120.6$ $2120.6$ to the right for 3 digits.

So mathematically we apply : $2120.6 \times \frac{1}{10^{3}}$ $" "2120.6 xx 1/10^3$

But in doing this on its own changes the value.

But we can make $\frac{1}{10^{3}}$ $1/10^3$ be part of 1 in that we have $\frac{10^{3}}{10^{3}}$ $color(brown)(10^3/10^3)$

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

$2120.6 \times \frac{10^{3}}{10^{3}} = 2120.6 \times 1 = 2120.6$ $2120.6xx10^3/10^3" " =" "2120.6xx1" " =" " 2120.6$

$\frac{2120.6}{10^{3}} \times 10^{3} = 2120.6 \times 1 = 2120.6$ $2120.6/10^3xx10^3" " =" "2120.6xx1" " =" " 2120.6$

Apply the $2120.6 \div 10^{3}$ $2120.6 -: 10^3$

$2.1206 \times 10^{3} = 2120.6 \times 1 = 2120.6$ $2.1206xx10^3" " =" "2120.6xx1" " =" " 2120.6$

How do you write 2120.6 2120.62120.6 in scientific notation?