The weight of an ant averages about 3 × 10^-6 kg. There are about 1 × 10^16 ants in the world. What is the approximate weight in kilograms of all the ants in the world? Write the answer in scientific notation. (1 point)
To find the weight of all the ants in the world, we need to multiply the average weight of an ant by the total number of ants:
(3 × 10^-6 kg) * (1 × 10^16 ants)
To calculate this in scientific notation, we multiply the coefficients together and add the exponents:
3 * 1 = 3
-6 + 16 = 10
Therefore, the approximate weight in kilograms of all the ants in the world is 3 × 10^10 kg.
The average human heart beats about 3.5 × 10^7 times per year. The current population of Massachusetts is about 7 × 10^6 people. About how many heartbeats occur in Massachusetts per year? Write the answer in scientific notation.
Express the answer to the exact decimal place. (1 point)
To find the total number of heartbeats in Massachusetts per year, we need to multiply the average number of heartbeats per person by the total population in Massachusetts:
(3.5 × 10^7) heartbeats/year/person * (7 × 10^6 people)
To calculate this in scientific notation, we multiply the coefficients together and add the exponents:
3.5 * 7 = 24.5
7 + 6 = 13
Therefore, the approximate number of heartbeats in Massachusetts per year is 24.5 × 10^13 heartbeats/year.
To find the approximate weight of all the ants in the world, we need to multiply the average weight of an ant by the total number of ants.
Average weight of an ant = 3 × 10^-6 kg
Total number of ants = 1 × 10^16
To multiply these values, we add the exponents and multiply the coefficients:
(3 × 10^-6 kg) * (1 × 10^16 ants)
= (3 * 1) × (10^-6 * 10^16) kg
= 3 × 10^10 kg
Therefore, the approximate weight of all the ants in the world is 3 × 10^10 kg.
To find the approximate weight in kilograms of all the ants in the world, we can multiply the average weight of an ant by the number of ants in the world.
The average weight of an ant is given as 3 × 10^-6 kg.
The number of ants in the world is given as 1 × 10^16.
To multiply these numbers, we need to multiply the coefficients (3 and 1) and add their exponents of 10 (-6 and 16). The resulting product will be in scientific notation.
Multiplying the coefficients, we have:
3 × 1 = 3
Adding the exponents, we have:
(-6) + 16 = 10
Therefore, the approximate weight in kilograms of all the ants in the world is 3 × 10^10 kg in scientific notation.