Convert 4.083×10^6 kilometers to meters. Express the answer to the exact decimal place.
Note: 1 kilometer is equal to 1,000 meters.
To convert kilometers to meters, we multiply the number of kilometers by 1,000.
Therefore, 4.083×10^6 kilometers is equal to 4.083×10^6 * 1,000 meters.
Simplifying, we get 4.083×10^6 * 1,000 = 4.083×10^(6+3) = 4.083×10^9 meters.
Expressing the answer in decimal form, we get 4,083,000,000 meters.
Ali’s farmhouse has a height of 2.307×108 meters. Convert the height to centimeters. Express your answer in scientific notation to the exact decimal place.
Note: 1 meter is equal to 100 centimeters
To convert meters to centimeters, we multiply the number of meters by 100.
Therefore, 2.307×108 meters is equal to 2.307×108 * 100 centimeters.
Simplifying, we get 2.307×108 * 100 = 2.307×10^(8+2) = 2.307×10^10 centimeters.
Expressing the answer in scientific notation, we get 2.307×10^10 centimeters.
Alberto added two very small numbers using a calculator. The calculator displayed the number 6.13E−14. What is this number in scientific notation?
The number 6.13E−14 is already in scientific notation.
In scientific notation, the number is expressed as a coefficient multiplied by 10 raised to a power. In this case, the coefficient is 6.13 and the power is -14. The negative sign indicates that the number is very small.
So, the number 6.13E−14 in scientific notation is 6.13 × 10^(-14).
Dina computed the mass of 1,000 protons in grams. The calculator displayed the number 1.67E−21. What is the mass of 1,000 protons in scientific notation?
To express the mass of 1,000 protons in scientific notation, we need to convert the number 1.67E−21 to the form of a coefficient multiplied by 10 raised to a power.
In this case, the coefficient is 1.67 and the power is -21. The negative sign indicates that the number is very small.
So, the mass of 1,000 protons in scientific notation is 1.67 × 10^(-21).
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.
To convert the dimensions from meters to millimeters, we multiply each dimension 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 of the sticky note in millimeters are 1.25×10^(-5) millimeters wide by 2.5×10^(-3) millimeters long.
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.
To convert the dimensions from meters to millimeters, we need to multiply each dimension by 1,000 since there are 1,000 millimeters in one meter.
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.
Hence, the dimensions of the sticky note in millimeters are:
Width: 1.25×10^(-5) millimeters
Length: 2.5×10^(-3) millimeters
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^−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^−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^−11 by 2.5×10^−9 millimeters
To convert the dimensions from meters to millimeters, we need to multiply each dimension by 1,000 since there are 1,000 millimeters in one meter.
For the width: 1.25×10^(-8) meters multiplied by 1,000 gives us 1.25×10^(-8) * 1,000 = 1.25×10^(-8+3) = 1.25×10^(-5) millimeters.
For the length: 2.5×10^(-6) meters multiplied by 1,000 gives us 2.5×10^(-6) * 1,000 = 2.5×10^(-6+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.
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
3.99×10^3 seconds
3.99 times 10 cubed seconds
3.99×10^5 seconds
3.99 times 10 superscript 5 baseline seconds
0.399×10^6 seconds
0.399 times 10 superscript 6 baseline seconds
3.99×10^4 seconds
To find the total number of seconds the playlist will play, we need to multiply the number of songs by the average time per song.
1900 songs * 3.5 minutes = 6650 minutes.
To convert minutes to seconds, we multiply by 60.
6650 minutes * 60 seconds = 399,000 seconds.
In scientific notation, this is expressed as 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 times 25
6.02+10^25
6.02 plus 10 superscript 25 baseline
6.02×10^25
6.02 times 10 superscript 25 baseline
25×10^6.02
The number of molecules in 100 moles is given as 6.02E25.
In scientific notation, the number is expressed as a coefficient multiplied by 10 raised to a power. In this case, the coefficient is 6.02 and the power is 25.
Therefore, the number of molecules in 100 moles in scientific notation is 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
12×10^3.28
12 times 10 superscript 3.28 baseline
3.28×10^12
3.28 times 10 superscript 12 baseline
3.28+10^12
3.28 plus 10 superscript 12 baseline
3.28×10^−12
3.28 times 10 superscript negative 12 baseline
The number 3.28E12 is already in scientific notation.
In scientific notation, the number is expressed as a coefficient multiplied by 10 raised to a power. In this case, the coefficient is 3.28 and the power is 12.
So, the number 3.28E12 in scientific notation is 3.28 × 10^12.
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
2.81×10^−4
2.81 times 10 superscript negative 4 baseline
2.81+10^4
2.81 plus 10 superscript 4 baseline
4×10^2.81
4 times 10 superscript 2.81 baseline
2.81×10^4
The number 2.81E4 is already in scientific notation.
In scientific notation, the number is expressed as a coefficient multiplied by 10 raised to a power. In this case, the coefficient is 2.81 and the power is 4.
So, the number 2.81E4 in scientific notation is 2.81 × 10^4.