How to simplify $12 \times 18 \times 10^{23}$ $12 times 18 times 10^23$ in scientific notation?

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Answer 1 · 2015-11-15T11:53:08

$2.16 \cdot 10^{25}$ $2.16*10^25$

The scientific notation asks you to put numbers in the form

$a_0,a_1a_2a_3... * 10^k$

So, $12$ becomes $1.2*10$ and $18$ becomes $1.8*10$ .

The whole multiplication becomes

$1.2*10*1.8*10*10^23 = 1.2*1.8*10*10*10^23$

The numeric part is multiplied as usual: $1.2*1.8 = 2.16$
Powers of $10$ are multiplied summing the exponents:
$10*10*10^23=10^{1+1+23}=10^25$ .

How to simplify 12 times 18 times 10^2312×18×102312 times 18 times 10^23 in scientific notation?