The weight of an ant averages about 3×10−6 kg. There are about 1×1016 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 multiply the weight of one ant by the total number of ants:
Weight of all ants = weight of one ant × total number of ants
Weight of all ants = 3 × 10^(-6) kg × 1 × 10^16 ants
To multiply two numbers in scientific notation, we multiply the coefficients and add the exponents:
Weight of all ants = (3 × 1) × (10^(-6) × 10^16) kg
Weight of all ants = 3 × 10^(16-6) kg
Weight of all ants = 3 × 10^10 kg
Therefore, the approximate weight of all the ants in the world is 3 × 10^10 kg.
To calculate the approximate weight of all the ants in the world, we can use the following formula:
Weight of all ants = Average weight of an ant × Number of ants
Given that the average weight of an ant is 3×10^(-6) kg and there are 1×10^16 ants in the world, we can plug these values into the formula:
Weight of all ants = (3×10^(-6)) kg × (1×10^16)
To simplify this calculation, we can multiply the numbers and add the exponents:
Weight of all ants = 3 × 1 × 10^(-6) × 10^16
Multiplying the coefficients and adding the exponents, we get:
Weight of all ants = 3 × 10^(16-6)
Simplifying further:
Weight of all ants = 3 × 10^(10)
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 need to multiply the average weight of an ant by the total number of ants.
The average weight of an ant is 3×10^(-6) kg.
The total number of ants in the world is 1×10^16 ants.
Now, to get the weight of all the ants, we can multiply these two values:
Weight of all the ants = Average weight of an ant × Total number of ants
Weight of all the ants = 3×10^(-6) kg × 1×10^16 ants
When multiplying numbers in scientific notation, we can multiply the coefficients and add the exponents:
Weight of all the ants = 3×1 kg × 10^(-6+16) ants
Weight of all the ants = 3 kg × 10^(10) ants
Thus, the approximate weight in kilograms of all the ants in the world is 3×10^10 kg.