# 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

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- PuzzlingLv 75 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

- lenpol7Lv 75 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

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