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

1 Answer
Meave60
Apr 23, 2015

Convert #0.00100"mole"# to scientific notation by moving the decimal to the right 3 places. This will give the number in scientific notation as #1.00xx10^(-3)"mole"#.

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

Multiply the coefficients.

#1.00xx6.022=6.022#

Multiply the base #10# for each number.

#10^(-3)xx10^23=10^((-3+23))=10^20#

Put the coefficient together with the base #10#.

#6.022xx10^20#

Rewrite the problem, canceling moles.

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

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