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.
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.
To find the approximate weight of all ants in the world, we can multiply the average weight of an ant (3 × 10^-⁶ kg) by the total number of ants (1 × 10¹⁶).
Let's perform the calculation:
Weight of all ants = (3 × 10^-⁶ kg) × (1 × 10¹⁶)
To multiply the numbers in scientific notation, we can multiply the coefficients and add the exponents:
Weight of all ants = 3 × 1 × 10^-⁶ × 10¹⁶
Simplifying further, we get:
Weight of all ants = 3 × 10^(1⁶ - ⁶)
The exponent can be simplified to:
Weight of all ants = 3 × 10¹⁰
Therefore, the approximate weight in kilograms of all ants in the world is 3 × 10¹⁰ kg.
To determine the weight in kilograms of all ants in the world, we can multiply the average weight of an ant by the total number of ants.
Average weight of an ant = 3 × 10^(-6) kg
Total number of ants = 1 × 10^16 ants
To find the weight in kilograms, we multiply these two values:
Weight = (3 × 10^(-6) kg) * (1 × 10^16 ants)
Now, let's perform the multiplication:
Weight = 3 × 1 * 10^(-6) * 10^16 ants
When multiplying numbers with the same base (10), we add their exponents:
Weight = 3 * 10^(16 - 6) kg
Simplifying the exponent:
Weight = 3 * 10^(10) kg
Finally, we express the answer in scientific notation:
Weight = 3 × 10^(10) kg