would 4.01 x 10^-12 kg convert to 4.01 x 10^9 g or 4.01 x 10^15 g? or neither?

Update:

I meant 10^-9 or 10^-15 not positive

3 Answers

Relevance
  • 5 years ago

    1 kg = 1000 g = 10^3 g

    4.01 x 10^-12 kg x 10^3 g/kg

    = 4.01 x (10^-12 x 10^3) g

    When you multiply the two powers of ten, you *add* the exponents:

    = 4.01 x 10^(-12 + 3)

    = 4.01 x 10^-9

    Grams are a smaller unit than kilograms, so it makes sense that you would have more of them (i.e. 10^-9 is 1000 times as big as 10^-12.)

    Answer:

    4.01 x 10^-9 grams

  • 5 years ago

    remember there are 1000 g in 1 kg

    Hence

    4.01 X 10^-12 kg X 100 = 4. 01 X 10^(-12+3) g

    = 4.01 x ^(-9) g

    So neither of your suggested answers is correct!!!!

  • 5 years ago

    There is 1000 grams in a kilogram...Therefor 4.01 X 10^(-12) kg ( 1000g / 1kg) = 4.01 X 10^(-9) g

Still have questions? Get answers by asking now.