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)

1 answer

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.