150,584 views
11 votes
11 votes
My new music player has a capacity of 360 gigabytes.

Rewrite the following statement using a number in scientific notation.

User Renia
by
3.1k points

1 Answer

5 votes
5 votes

Answer: My new music player has a capacity of 3.6*10^11 bytes.

Step-by-step explanation: Scientific notation of a number is going to be in the form of a*10^b where a is a number greater than 1 but less than 10 which is then multiplied by the appropriate power of 10 so that the numbers are equal. This allows us to see numbers concisely without getting distracted by the sheer number of zeroes in some numbers. For 360, since 3.6 is between 1 and 10, we use that for a. To get 3.6 to equal 360 you have to move the decimal two places to the right, or multiply by 10^2, so b=2. Since this is in gigabytes, and giga=10^9, to express the answer in bytes we just multiply 10^2 to 10^9=10^11

Hope this helps

User Gustavo Zantut
by
3.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.