Question 1 (4 points)Solve (Answers in Proper Scientific Notation):A computer can perform 4.7×108 calculations per second.A) How many calculations can this computer perform in 1 minute?B) How many calculations can this computer perform ini 1 hour?
Q. Question 1 (4 points)Solve (Answers in Proper Scientific Notation):A computer can perform 4.7×108 calculations per second.A) How many calculations can this computer perform in 1 minute?B) How many calculations can this computer perform ini 1 hour?
Question Prompt: Question prompt: How many calculations can the computer perform in 1 minute and in 1 hour?
Calculate in 1 Minute: A) To find the number of calculations in 1 minute, multiply the number of calculations per second by the number of seconds in a minute.
Calculate in 1 Hour: There are 60 seconds in a minute.
Seconds in a Minute: Perform the calculation: 4.7×108 calculations/second ×60 seconds/minute.
Calculation in 1 Minute: Multiply the numbers: 4.7×60=282.
Powers of Ten: Apply the multiplication to the powers of ten: 108×101 (since 60 is 6×101).
Total Calculations in 1 Minute: Combine the powers of ten: 108×101=109.
Calculate in 1 Hour: The computer can perform 282×109 calculations in 1 minute.
Minutes in an Hour: B) To find the number of calculations in 1 hour, multiply the number of calculations per minute by the number of minutes in an hour.
Calculation in 1 Hour: There are 60 minutes in an hour.
Calculation in 1 Hour: There are 60 minutes in an hour. Perform the calculation: 282×109 calculations/minute ×60 minutes/hour.
Calculation in 1 Hour: There are 60 minutes in an hour. Perform the calculation: 282×109 calculations/minute ×60 minutes/hour. Multiply the numbers: 282×60=16920.