The weight of an ant averages about 3 × 10^(-6) kg. There are about 1 x 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)
_ kg
To find the approximate weight in kilograms of all the ants in the world, we need to multiply the weight of one ant by the total number of ants.
Weight of one ant = 3 × 10^(-6) kg
Total number of ants = 1 × 10^(16) ants
Weight of all the ants in the world = (3 × 10^(-6) kg) * (1 × 10^(16) ants)
To multiply numbers in scientific notation, we combine the coefficients and add the powers of 10:
Weight of all the ants in the world = (3 * 1) × (10^(-6) * 10^(16)) kg
Simplifying the expression:
Weight of all the ants in the world = 3 × 10^(16 - 6) kg
Weight of all the ants in the world = 3 × 10^(10) kg
So, the approximate weight in kilograms of all the ants in the world is 3 × 10^(10) kg.