An estimate for the number of cells in the human body is 8 x 10^13. An estimate for the number of cells in a particular insect is 3 x 10^3. Determine, using scientific notation, how many times more cells are in the human body than in the insect. What is the power of 10 in the answer?

Question

Adan Watts

Mathematics

17 May, 02:25

An estimate for the number of cells in the human body is 8 x 10^13. An estimate for the number of cells in a particular insect is 3 x 10^3. Determine, using scientific notation, how many times more cells are in the human body than in the insect. What is the power of 10 in the answer?

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Answers (1)

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Elliott Lynch · Answer 1

(8*10^13) / (3*10^3)

remember

(ab) / (cd) = (a/c) (b/d)

we can split them up

also

(x^m) / (x^n) = x^ (m-n)

so

(8*10^13) / (3*10^3) = (8/3) ((10^13) / (10^3)) = (8/3) (10^ (13-3)) = (8/3) (10^10)

answer is (8/3) * 10^10 times

the power of 10 is 10