Jacob learns that the mass of a new planet found in the solar system is 2,330,000,000,000,000,000,000,000 kilograms. What is the mass represented in scientific notation? a. 2.33 × 1024 kilograms b. 2.33 × 10-24 kilograms c. 2.33 × 1023 kilograms d. 23.3 × 1023 kilograms
Answer: a. \(2.33\times10^{24}\) kilograms
Step-by-step explanation:
Scientific notation: A mathematical expression used to express a very large or a very small number in a product of a decimal number between 1 and power of 10 .
Given : Jacob learns that the mass of a new planet found in the solar system is 2,330,000,000,000,000,000,000,000 kilograms.
Here, in 2,330,000,000,000,000,000,000,000 (A very large number)
Total digits = 25
Power of 10 = Total digits -1= 25-1=24
In scientific notation:
\(2,330,000,000,000,000,000,000,000=2.33\times10^{24}\)
Hence, \(2.33\times10^{24}\) kilograms is the mass represented in scientific notation.