# How to multiply in scientific notation (0.00100 "mole") xx (6.02 xx 10^23 "molecules")/(1 "mole")?

Apr 23, 2015

Convert $0.00100 \text{mole}$ to scientific notation by moving the decimal to the right 3 places. This will give the number in scientific notation as $1.00 \times {10}^{- 3} \text{mole}$.

Now the question becomes 1.00xx10^(-3)"mole"*(6.022xx10^23"molecules")/(1 "mole")

Multiply the coefficients.

$1.00 \times 6.022 = 6.022$

Multiply the base $10$ for each number.

${10}^{- 3} \times {10}^{23} = {10}^{\left(- 3 + 23\right)} = {10}^{20}$

Put the coefficient together with the base $10$.

$6.022 \times {10}^{20}$

Rewrite the problem, canceling moles.

1.00xx10^(-3)cancel("mole")*(6.022xx10^23"molecules")/(1 cancel("mole"))=6.02xx10^20"molecules"