Question 14 Marks
Calculate and write the answer in scientific notation :
(i) If each person in the world had 30 pieces of clothing, find the total number of pieces of clothing.
(ii) There are about 100 million bee colonies in the world. Find the number of honeybees if each colony has about 50,000 bees.
(iii) The human body has about 38 trillion bacterial cells. Find the bacterial population residing in all humans in the world.
(iv) Total time spent eating in a lifetime in seconds.
(i) If each person in the world had 30 pieces of clothing, find the total number of pieces of clothing.
(ii) There are about 100 million bee colonies in the world. Find the number of honeybees if each colony has about 50,000 bees.
(iii) The human body has about 38 trillion bacterial cells. Find the bacterial population residing in all humans in the world.
(iv) Total time spent eating in a lifetime in seconds.
Answer
View full question & answer→(i) Estimated world population: $\approx 8$ billion $=8 \times 10^9$
Number of pieces of clothing each person had $=30$ pieces
Total number of pieces of clothing $=8 \times 10^9 \times 30=2.4 \times 10^{11}$
(ii) Number of bee colonies in the world $=100$ million $=1 \times 10^8$
Number of bees in each colony $=50,000=5 \times 10^4$
Total number of honeybees $=1 \times 10^8 \times 5 \times 10^4=5 \times 10^{12}$
(iii) World population $\approx 8 \times 10^9$
Number of bacterial cells in human body $=38$ trillion $=3.8 \times 10^{13}$
Total bacterial population residing in all humans in the world $=\left(3.8 \times 10^{13}\right) \times\left(8 \times 10^9\right)=30.4 \times 10^{22}=3.04 \times 10^{23}$
(iv) Average person's lifespan $=80$ years
Time spent eating daily $=1.5$ hours
Total eating time per day in seconds $=1.5 \times 3600=5400$ seconds
Number of days in 80 years $=80 \times 365=29,200$
Total seconds spent eating in a lifetime in seconds $=5400 \times 29,200=1.5768 \times 10^8$
Number of pieces of clothing each person had $=30$ pieces
Total number of pieces of clothing $=8 \times 10^9 \times 30=2.4 \times 10^{11}$
(ii) Number of bee colonies in the world $=100$ million $=1 \times 10^8$
Number of bees in each colony $=50,000=5 \times 10^4$
Total number of honeybees $=1 \times 10^8 \times 5 \times 10^4=5 \times 10^{12}$
(iii) World population $\approx 8 \times 10^9$
Number of bacterial cells in human body $=38$ trillion $=3.8 \times 10^{13}$
Total bacterial population residing in all humans in the world $=\left(3.8 \times 10^{13}\right) \times\left(8 \times 10^9\right)=30.4 \times 10^{22}=3.04 \times 10^{23}$
(iv) Average person's lifespan $=80$ years
Time spent eating daily $=1.5$ hours
Total eating time per day in seconds $=1.5 \times 3600=5400$ seconds
Number of days in 80 years $=80 \times 365=29,200$
Total seconds spent eating in a lifetime in seconds $=5400 \times 29,200=1.5768 \times 10^8$