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.
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.
To find the approximate weight of all the ants in the world, we can multiply the average weight of an ant by the total number of ants.
Weight of an ant = 3 × 10^(-6) kg
Number of ants = 1 × 10^(16)
To multiply these two numbers, we add their exponents of 10 and multiply the coefficient:
(3 × 10^(-6)) × (1 × 10^(16)) = (3 × 1) × 10^(-6 + 16) = 3 × 10^(10)
Therefore, the approximate weight of all the ants in the world is 3 × 10^10 kilograms.
To calculate the approximate weight of all the ants in the world in scientific notation, we need to multiply the average weight of an ant by the total number of ants.
The average weight of an ant is given as 3×10^(-6) kg.
The total number of ants in the world is given as 1×10^(16).
To multiply these two values, we can use the following steps:
1. Multiply the numerical values: 3 × 1 = 3.
2. Add the exponents: 10^(-6) * 10^(16) = 10^(16-6) = 10^10.
Therefore, the approximate weight of all the ants in the world is 3×10^10 kg in scientific notation.