Question

A seed on a dandelion flower weighs 10^-3 grams. A dandelion itself can weigh up to 10^3 grams. How many times heavier is a dandelion than its seeds?

Answer 1

Answer:

dendeleion flower is 10^6 times heavier than its seeds.

Answer 2

Given:

A seed on a dandelion flower weighs 10^-3 grams. A dandelion itself can weigh up to 10^3 grams.

To Find:

How many times heavier is a dandelion than its seeds?

Solution:

It is given that the weight of dandelion flower seed is 10^-3 grams and the weight of the dandelion flower itself is 10^3 grams, then how many is dandelions heavier than its seeds, for that we need to take the ratio of the weight of the dandelion flower is to the weight of the dandelion flower seed, which goes as

$ratio=\frac{10^3}{10^{-3}}$

when two exponential with the same base is divided with each other then the power gets subtracted from each other, similarly here it will go as,

$Ratio=\frac{10^3}{10^{-3}} \\=10^{3-(-3)}\\=10^{3+3}\\=10^6$

so the ratio comes as 10^6:1, from this we can say that the dandelion flower is 10^6 times heavier than its seed

Hence, a dandelion flower is 10^6 times heavier than its seed.