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 ants in the world? Write the answer in scientific notation.

1 answer

To find the approximate weight of all ants in the world, we need to multiply the average weight of an ant by the number of ants.

Weight of one ant: 3 × 10^-⁶ kg
Number of ants: 1 × 10¹⁶

Weight of all ants: (3 × 10^-⁶ kg) × (1 × 10¹⁶)

Multiplying the numbers gives us: 3 × 1 × 10^-⁶ × 10¹⁶

Simplifying the exponent gives us: 3 × 10^(16-6)

3 × 10^10

The approximate weight of all ants in the world is 3 × 10^10 kilograms.