Kendra finds the dimensions of a sticky note. She uses a meter stick to determine that the dimensions are 1.25 × 10^−8 meters wide by 2.5 × 10^−6 meters long. Use scientific notation to write the dimensions in millimeters.
To write the dimensions in millimeters, we need to convert meters to millimeters.
1 meter is equal to 1000 millimeters, so we can multiply the width and length in meters by 1000 to convert them to millimeters.
Width (in millimeters) = 1.25 × 10^−8 meters * 1000 = 1.25 × 10^−5 millimeters
Length (in millimeters) = 2.5 × 10^−6 meters * 1000 = 2.5 × 10^−3 millimeters
Therefore, the dimensions of the sticky note in millimeters are 1.25 × 10^−5 millimeters wide by 2.5 × 10^−3 millimeters long.
Jim’s music library on his phone holds 1,900 songs. The
songs have an average time of 3.5 minutes. Use scientific
notation to find the total number of seconds the playlist
will play. Express the answer to the exact decimal place.
(1 point)
To find the total number of seconds the playlist will play, we need to multiply the number of songs by the average time of each song in minutes, and then convert the result to seconds.
Number of songs = 1,900 songs
Average time per song = 3.5 minutes
Total time in minutes = Number of songs * Average time per song
Total time in minutes = 1,900 songs * 3.5 minutes
Total time in minutes = 6,650 minutes
To convert minutes to seconds, we multiply the total time in minutes by 60:
Total time in seconds = Total time in minutes * 60
Total time in seconds = 6,650 minutes * 60
Total time in seconds = 399,000 seconds
Therefore, the playlist will play for 399,000 seconds.
In chemistry class, Carlos calculated the number of molecules
in 100 moles. The calculator displayed the number 6.02E25.
What is the number of molecules in 100 moles in scientific
notation? (1 point)
The number 6.02E25 is already in scientific notation. It represents 6.02 * 10^25.
Therefore, the number of molecules in 100 moles in scientific notation is 6.02E25.
In chemistry class, Carlos calculated the number of molecules
in 100 moles. The calculator displayed the number 6.02E25.
What is the number of molecules in 100 moles in scientific
notation? (1 point)
6.02 + 10^ 25
25 × 10^ 6.02
6.02 × 25
6.02 × 10^25
Apologies for the confusion in the previous response. The correct answer is 6.02E25, which represents 6.02 * 10^25.
In government class, Nadia computed the amount of debt
of the federal government after a third of it was paid in
1995. The calculator displayed the number 3.28E12.
What is this number in scientific notation? (1 point)
The number 3.28E12 is already in scientific notation. It represents 3.28 * 10^12.
Therefore, this number in scientific notation is 3.28E12.
In government class, Nadia computed the amount of debt
of the federal government after a third of it was paid in
1995. The calculator displayed the number 3.28E12.
What is this number in scientific notation? (1 point)
3.28 × 10^−12
12 × 10^3.28
3.28 + 10^12
3.28 × 10^12