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.
1.25×10^−11 by 2.5×10^−9 millimeters
1.25×10^−10 by 2.5×10^−8 millimeters
1.25×10^−5 by 2.5×10^−3 millimeters
1.25×10^−6 by 2.5×10^−4 millimeters
To convert from meters to millimeters, we can multiply the measurement by 1,000 since there are 1,000 millimeters in a meter.
For the width, 1.25×10^−8 meters, we multiply by 1,000 to convert to millimeters:
1.25×10^−8 × 1,000 = 1.25×10^−5 millimeters
For the length, 2.5×10^−6 meters, we multiply by 1,000 to convert to millimeters:
2.5×10^−6 × 1,000 = 2.5×10^−3 millimeters
Therefore, the dimensions in millimeters are 1.25×10^−5 by 2.5×10^−3 millimeters.
To find the total number of seconds the playlist will play, we need to multiply the number of songs (1,900) by the average time per song (3.5 minutes) and convert it to seconds.
1 minute = 60 seconds
So, the total number of seconds can be calculated as follows:
1,900 songs × 3.5 minutes/song × 60 seconds/minute
= 1,900 × 3.5 × 60 seconds
= 399,000 seconds
Therefore, the total number of seconds the playlist will play is 3.99×10^5 seconds.
The number of molecules in 100 moles is 6.02E25.
6.02E25 represents 6.02 multiplied by 10 to the power of 25.
Therefore, the number of molecules in 100 moles in scientific notation is 6.02×10^25.
The number 3.28E12 represents 3.28 multiplied by 10 to the power of 12.
Therefore, this number in scientific notation is 3.28×10^12.
The number 2.81E4 represents 2.81 multiplied by 10 to the power of 4.
Therefore, this number in scientific notation is 2.81×10^4.
4 is right its 3.28x10^12
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
3.99×10^4 seconds
0.399×10^6 seconds
3.99×10^3 seconds
3.99×10^5 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
6.02×25
6.02×10^25
6.02+10^25
25×10^6.02
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+10^12
3.28×10^12
3.28×10^−12
12×10^3.28
Sam is comparing the half-life of two isotopes of uranium. The half-life of Uranium-238 is 4.5×10^9 years. The half-life of Uranium-233 is 1.6×10^5 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
4×10^2.81
2.81+10^4
2.81×10^−4
2.81×10^4