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.
Note: 1 meter is equal to 1,000 millimeters.
(1 point)
To convert the dimensions from meters to millimeters, we need to multiply by 1,000 since 1 meter is equal to 1,000 millimeters.
Width: 1.25 x 10^(-8) meters x 1,000 millimeters/meter = 1.25 x 10^(-8) x 1,000 = 1.25 x 10^(-8+3) = 1.25 x 10^(-5) millimeters
Length: 2.5 x 10^(-6) meters x 1,000 millimeters/meter = 2.5 x 10^(-6) x 1,000 = 2.5 x 10^(-6+3) = 2.5 x 10^(-3) millimeters
Therefore, the dimensions of the sticky note in millimeters are 1.25 x 10^(-5) millimeters wide by 2.5 x 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
Average time of each song: 3.5 minutes
Total time in minutes: 1,900 songs x 3.5 minutes/song = 6,650 minutes
To convert minutes to seconds, we multiply by 60 since there are 60 seconds in a minute:
Total time in seconds: 6,650 minutes x 60 seconds/minute = 399,000 seconds
Therefore, the total number of seconds the playlist will play is 399,000 seconds.
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)
Responses
3.99×103 seconds
3.99 times 10 cubed seconds
3.99×105 seconds
3.99 times 10 superscript 5 baseline seconds
3.99×104 seconds
3.99 times 10 superscript 4 baseline seconds
0.399×106 seconds
0.399 times 10 superscript 6 baseline seconds
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
Average time of each song: 3.5 minutes
Total time in minutes: 1,900 songs x 3.5 minutes/song = 6,650 minutes
To convert minutes to seconds, we multiply by 60 since there are 60 seconds in a minute:
Total time in seconds: 6,650 minutes x 60 seconds/minute = 399,000 seconds
Therefore, the total number of seconds the playlist will play is 3.99 x 10^4 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)
Responses
6.02×1025
6.02 times 10 superscript 25 baseline
6.02×25
6.02 times 25
6.02+1025
6.02 plus 10 superscript 25 baseline
25×106.02
The number of molecules in 100 moles is 6.02 x 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)
Responses
3.28×1012
3.28 times 10 superscript 12 baseline
12×103.28
12 times 10 superscript 3.28 baseline
3.28+1012
3.28 plus 10 superscript 12 baseline
3.28×10−12
The number 3.28E12 is already in scientific notation. It is equivalent to 3.28 x 10^12.
Question
Sam is comparing the half-life of two isotopes of uranium. The half-life of Uranium-238 is 4.5×109 years. The half-life of Uranium-233 is 1.6×105 years. He computed how much greater the half-life of Uranium-238 is than that of Uranium-233, and his calculator displayed the number 2.81E4. What is this number in scientific notation?(1 point)
Responses
2.81+104
2.81 plus 10 superscript 4 baseline
2.81×104
2.81 times 10 superscript 4 baseline
4×102.81
4 times 10 superscript 2.81 baseline
2.81×10−4