What is 7,235,002 in scientific notation?

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What is 7,235,002 in scientific notation?

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Answer 1 · 2016-09-27T06:27:02

In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of $10$ $10$ .

Note that moving decimal $p$ $p$ digits to right is equivalent to multiplying by $10^{p}$ $10^p$ and moving decimal $q$ $q$ digits to left is equivalent to dividing by $10^{q}$ $10^q$ .

Hence, we should either divide the number by $10^{p}$ $10^p$ i.e. multiply by $10^{- p}$ $10^(-p)$ (if moving decimal to right) or multiply the number by $10^{q}$ $10^q$ (if moving decimal to left).

In other words, it is written as $a \times 10^{n}$ $axx10^n$ , where $1 \leq a < 10$ $1<=a<10$ and $n$ $n$ is an integer.

To write $7235002$ $7235002$ in scientific notation, we will have to move the decimal point six points to left, which literally means dividing by $10^{6}$ $10^6$ .to compensate

Hence in scientific notation $7235002 = 7.235002 \times 10^{6}$ $7235002=7.235002xx10^6$ (note that as we have moved decimal one point to right we are multiplying by $10^{6}$ $10^6$ .

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What is 7,235,002 in scientific notation?

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