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
1.25×10−5 by 2.5×10−3 millimeters
1.25 times 10 superscript negative 5 baseline by 2.5 times 10 negative cubed 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
1.25×10−10 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
To convert the dimensions from meters to millimeters, we need to multiply by 1,000.
For the width: 1.25 × 10^(-8) meters × 1,000 = 1.25 × 10^(-8) × 1,000 = 1.25 × 10^(-8 + 3) = 1.25 × 10^(-5) millimeters.
For the length: 2.5 × 10^(-6) meters × 1,000 = 2.5 × 10^(-6) × 1,000 = 2.5 × 10^(-6 + 3) = 2.5 × 10^(-3) millimeters.
Therefore, the dimensions in millimeters are: 1.25 × 10^(-5) millimeters by 2.5 × 10^(-3) millimeters.
Answer: 1.25×10^−5 by 2.5×10^−3 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
3.99×105 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
3.99×103 seconds
3.99 times 10 cubed seconds
To find the total number of seconds the playlist will play, we can multiply the number of songs by the average time per song.
Number of songs: 1,900
Average time per song: 3.5 minutes
Total time in minutes: 1,900 songs × 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 × 60 seconds/minute = 399,000 seconds
Therefore, the total number of seconds the playlist will play is 3.99 × 10^5 seconds.
Answer: 3.99×10^5 seconds
To convert the dimensions of the sticky note from meters to millimeters, we need to multiply each dimension by 1,000.
The width is 1.25×10^−8 meters. Multiplying this by 1,000, we get:
1.25×10^−8 meters * 1,000 = 1.25×10^−5 millimeters
The length is 2.5×10^−6 meters. Multiplying this by 1,000, we get:
2.5×10^−6 meters * 1,000 = 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.
To convert the dimensions from meters to millimeters using scientific notation, we need to multiply the values by 1,000 (since 1 meter is equal to 1,000 millimeters).
1. The width of the sticky note is given as 1.25×10^-8 meters. To convert to millimeters, we multiply by 1,000:
1.25×10^-8 × 1,000 = 1.25×10^-8 × 10^3 = 1.25×10^-5 millimeters
2. The length of the sticky note is given as 2.5×10^-6 meters. To convert to millimeters, we multiply by 1,000:
2.5×10^-6 × 1,000 = 2.5×10^-6 × 10^3 = 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.
So, the correct answer is:
1.25×10^-5 by 2.5×10^-3 millimeters