The weight of an ant averages about 3\times 10^(-6)kg. There are about 1\times 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.

Answer 1

To find the approximate weight 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)

Weight of all ants = (3 × 10^(-6) kg) × (1 × 10^(16))

Using the rule for multiplying numbers in scientific notation, we add the exponents and multiply the coefficients:
Weight of all ants = 3 × 1 × 10^(-6 + 16) kg

Simplifying the exponent:
Weight of all ants = 3 × 10^(10) kg

Therefore, the approximate weight of all the ants in the world is 3 × 10^(10) kilograms.