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)
Responses
1.25×10^−10 by 2.5×10^−8 millimeters
1.25 times 10 superscript negative 10 baseline by 2.5 times 10 superscript negative 8 baseline millimeters
1.25×10^−6 by 2.5×10^−4 millimeters
1.25 times 10 superscript negative 6 baseline by 2.5 times 10 superscript negative 4 baseline millimeters
1.25×10^−11 by 2.5×10^−9 millimeters
1.25 times 10 superscript negative 11 baseline by 2.5 times 10 superscript negative 9 baseline millimeters
1.25×10^−5 by 2.5×10^−3 millimeters
1.25×10^−11 by 2.5×10^−9 millimeters
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
3.99×10^5 seconds
3.99 times 10 superscript 5 baseline seconds
3.99×10^3 seconds
3.99 times 10 cubed seconds
0.399×10^6 seconds
0.399 times 10 superscript 6 baseline seconds
3.99×10^4 seconds
3.99×10^4 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+10^25
6.02 plus 10 superscript 25 baseline
6.02×25
6.02 times 25
6.02×10^25
6.02 times 10 superscript 25 baseline
25×10^6.02
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)
Responses
3.28×10^12
3.28 times 10 superscript 12 baseline
12×10^3.28
12 times 10 superscript 3.28 baseline
3.28×10^−12
3.28 times 10 superscript negative 12 baseline
3.28+10^12
3.28×10^12
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
2.81×10^4
2.81 times 10 superscript 4 baseline
4×10^2.81
4 times 10 superscript 2.81 baseline
2.81+10^4
2.81 plus 10 superscript 4 baseline
2.81×10^−4
2.81×10^4
To convert the dimensions from meters to millimeters, we need to multiply them by 1,000 since 1 meter is equal to 1,000 millimeters.
For the width, which is 1.25×10^−8 meters, we can multiply it by 1,000 to convert it to millimeters:
1.25×10^−8 meters * 1,000 = 1.25×10^−8 * 1,000 = 1.25×10^−8 * 10^3 = 1.25×10^(-8+3) = 1.25×10^(-5) millimeters
So, the width is 1.25×10^(-5) millimeters.
Similarly, for the length, which is 2.5×10^-6 meters, we can multiply it by 1,000:
2.5×10^−6 meters * 1,000 = 2.5×10^(-6+3) = 2.5×10^(-3) millimeters
So, the length is 2.5×10^(-3) millimeters.
Therefore, the dimensions of the sticky note in millimeters are 1.25×10^(-5) by 2.5×10^(-3) millimeters.