Answer:10 times the total mass of antsStep-by-step explanation:Solution: 1
We are told the total number of ants in the world is about 10,000 trillion or 10,000Γ1012=104Γ1012=1016 ants. In addition, the average mass of a single ant is 4Γ10β3 grams. Thus, the approximate total mass of all ants in the world is
(4Γ10β3g)(1016)=4Γ10β3+16g=4Γ1013g.
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)=(65Γ103)g=(6.5Γ101)(103)g=6.5Γ101+3g=6.5Γ104g.
Since there are 6.84 billion humans on earth, the total mass of all humans on earth can be approximated as
(6.5Γ104g)(6.84 billion)=(6.5Γ104g)(6.84Γ109)=(6.5Γ6.84)(104Γ109)g=44.46Γ104+9g=(4.446Γ101)Γ1013g=4.446Γ1014g.
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.