Answer:
10 times the total mass of ants
Step-by-step explanation:
Solution: 1
We are told the total number of ants in the world is about 10,000 trillion or 10,000×1012=104×1012=1016 ants. In addition, the average mass of a single ant is 4×10−3 grams. Thus, the approximate total mass of all ants in the world is
(4×10−3g)(1016)=4×10−3+16g=4×1013g.
The mass for humans is given in kilograms while the mass for ants is in grams. We convert the unit of mass for a human to grams as follows,
(65kg)(103g1kg)=(65×103)g=(6.5×101)(103)g=6.5×101+3g=6.5×104g.
Since there are 6.84 billion humans on earth, the total mass of all humans on earth can be approximated as
(6.5×104g)(6.84 billion)=(6.5×104g)(6.84×109)=(6.5×6.84)(104×109)g=44.46×104+9g=(4.446×101)×1013g=4.446×1014g.
Thus, the total mass of all humans in the world is greater than the total mass of all ants in the world. In fact, the calculations above show the total mass of all humans in the world is about 10 times the total mass of all ants.
