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 each dimension by 1,000.
For the width:
1.25 x 10^(-8) meters = 1.25 x 10^(-8) x 1,000 = 1.25 x 10^(-8+3) = 1.25 x 10^(-5) millimeters
For the length:
2.5 x 10^(-6) meters = 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 by 2.5 x 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)
To calculate the total number of seconds the playlist will play, we need to multiply the number of songs by the average time in minutes and then convert it to seconds.
Number of songs: 1,900
Average time per song: 3.5 minutes
Total time in minutes: 1,900 songs * 3.5 minutes/song = 6650 minutes
Now we need to convert minutes to seconds:
1 minute = 60 seconds
Total seconds: 6650 minutes * 60 seconds/minute = 399,000 seconds
Using scientific notation, 399,000 seconds can be written as 3.99 x 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)
The number of molecules in 100 moles is displayed as 6.02E25 on the calculator. This is already in scientific notation.
Therefore, the number of molecules in 100 moles in scientific notation 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)
The number 3.28E12 is already in scientific notation.
Therefore, this number in scientific notation is 3.28 x 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)
The number 2.81E4 is already in scientific notation.
Therefore, this number in scientific notation is 2.81 x 10^4.
To convert the dimensions from meters to millimeters, we need to multiply by a conversion factor of 1,000 since 1 meter is equal to 1,000 millimeters.
Let's start by converting the width from meters to millimeters. The width is given as 1.25×10^(-8) meters.
To convert to millimeters, we multiply the width by the conversion factor:
1.25×10^(-8) meters × 1,000 millimeters/1 meter
Simplifying, we get:
1.25×10^(-8) × 1,000 millimeters
To simplify further, we multiply the numbers:
1.25 × 10^(-8) × 1,000 = 12.5 × 10^(-6) millimeters
We can also express this in scientific notation:
1.25 × 10^(-8) × 1,000 = 1.25 × 10^(-8+3) = 1.25 × 10^(-5) millimeters
So, the width of the sticky note is 1.25 × 10^(-5) millimeters.
Next, let's convert the length from meters to millimeters. The length is given as 2.5×10^(-6) meters.
Using the same method as before, we multiply the length by the conversion factor:
2.5×10^(-6) meters × 1,000 millimeters/1 meter
Simplifying, we get:
2.5×10^(-6) × 1,000 millimeters
Multiplying the numbers, we have:
2.5 × 10^(-6) × 1,000 = 2,500 × 10^(-6) millimeters
In scientific notation, this becomes:
2.5 × 10^(-6) × 1,000 = 2.5 × 10^(-6+3) = 2.5 × 10^(-3) millimeters
Therefore, the length of the sticky note is 2.5 × 10^(-3) millimeters.
In summary, the dimensions of the sticky note in millimeters are:
Width: 1.25 × 10^(-5) millimeters
Length: 2.5 × 10^(-3) millimeters