the temperature of the sun at its center is about 2.7x10^7 degrees fahrenheit what is this temperature written in decimal notation?
The temperature of the sun at its center, 2.7x10^7 degrees Fahrenheit, in decimal notation is 27,000,000 degrees Fahrenheit.
use scientific notation to determine which of these numbers has the least value: 98,789,000; 987,890,000; or 89,987,000. write your answer in scientific notation expressed to the exact decimal place
To compare the values in scientific notation, let's express each number in the proper scientific notation format:
98,789,000 = 9.8789 x 10^7
987,890,000 = 9.8789 x 10^8
89,987,000 = 8.9987 x 10^7
Comparing these values, we can see that 9.8789 x 10^7 has the least value.
place the numbers in decending order.
2.3 x 10^-10 ; 3.2 x 10^-10 ; 2.3 x 10^-12 ; 2.3 x 10^8
To place the numbers in descending order, we need to compare the exponents first.
2.3 x 10^8
2.3 x 10^-10
3.2 x 10^-10
2.3 x 10^-12
Next, within each group having the same exponent, we compare the coefficients:
2.3 x 10^8
3.2 x 10^-10
2.3 x 10^-10
2.3 x 10^-12
Finally, we order them from greatest to least value:
2.3 x 10^8
3.2 x 10^-10
2.3 x 10^-10
2.3 x 10^-12
Therefore, the numbers in descending order are: 2.3 x 10^8, 3.2 x 10^-10, 2.3 x 10^-10, 2.3 x 10^-12.
janiya found that her playlist will play for 3.8 x 10^2 seconds, 6.3 x 10^5 minutes, 1.05 x 10^4 hours or 4.39814 x 10^2 days. which answer uses the most appropriate units?
Among the given options, the most appropriate units to represent the duration of Janiya's playlist is in days.
The option "4.39814 x 10^2 days" provides the duration in days, which is a more suitable unit for longer durations compared to seconds, minutes, or hours.
a national park covers an area of 1.42 x 10^6 acres. a nearby national forest covers an area of 1.2 x 10^6 acres. what is the total number of acres in the park and the forest combined?
To find the total number of acres in the park and forest combined, we need to add up their respective area values.
National Park area: 1.42 x 10^6 acres
National Forest area: 1.2 x 10^6 acres
Adding these two values together:
(1.42 x 10^6) + (1.2 x 10^6) = 2.62 x 10^6
Therefore, the total number of acres in the park and forest combined is 2.62 x 10^6 acres.
the distance from venus to the sun is about 67,000,000 miles. the distance from earth to the sun if about 2.6x10^7 farther. what is the distance from earth to the sun? write your answer in scientific notation to 1 decimal place
To find the distance from Earth to the Sun, we need to add the distance from Venus to the Sun to the distance stated as being farther.
Distance from Venus to the Sun: 67,000,000 miles
Distance stated as being farther: 2.6x10^7 miles
Calculating the total distance:
67,000,000 + 2.6x10^7 = 92,000,000 miles
Expressing this value in scientific notation to 1 decimal place:
9.2 x 10^7 miles
Therefore, the distance from Earth to the Sun is approximately 9.2 x 10^7 miles.
calculate 4.8 x 10^-3 - 9.4 x 10^-6. express the answer in scientific notation rounding to 2 decimal places.
To subtract the given values in scientific notation, we need to ensure that the exponents are the same. In this case, both values already have an exponent of -3.
4.8 x 10^-3 - 9.4 x 10^-6
First, let's subtract the coefficients:
4.8 - 9.4 = -4.6
Now, let's keep the shared exponent -3 for the final answer:
-4.6 x 10^-3
Rounding this to 2 decimal places, we get:
-4.60 x 10^-3
Therefore, the answer to 4.8 x 10^-3 - 9.4 x 10^-6 in scientific notation, rounded to 2 decimal places, is -4.60 x 10^-3.
a strand of hair has an average mass of 2.17 x 10^-5 ounces a grain of rice has an average mass of 0.002 ounces how much heavier is a grain of rice than a strand of hair? express your answer is scientific notation
To find the difference in weight between a grain of rice and a strand of hair, we subtract the mass of the hair from the mass of the rice.
Mass of hair: 2.17 x 10^-5 ounces
Mass of rice: 0.002 ounces
Calculating the difference:
0.002 - 2.17 x 10^-5 = 0.00199783 ounces
To express this answer in scientific notation, we can rewrite it as:
1.99783 x 10^-3 ounces
Therefore, a grain of rice is approximately 1.99783 x 10^-3 ounces heavier than a strand of hair.
light travels at an approximate rate of 1.9 x 10^-5 mi./sec. there are about 3.2 x 10^7 seconds in a year about how many miles does light travel in a year? write the answer in scientific notation. express the answer to the exact decimal place.
To calculate the approximate distance light travels in a year, we can multiply its speed by the number of seconds in a year.
Speed of light: 1.9 x 10^-5 mi./sec
Number of seconds in a year: 3.2 x 10^7 seconds
Calculating the distance:
(1.9 x 10^-5 mi./sec) x (3.2 x 10^7 seconds) = 6.08 x 10^2 miles
Therefore, light travels approximately 6.08 x 10^2 miles in a year.
the average tectonic plate moves at the rate of 0.006 m per year. how many meters would it move in 2x10^6 years? write the answer in scientific notation, expressed to the exact decimal place.
To calculate the distance the tectonic plate would move in 2x10^6 years, we can multiply its average rate by the given number of years.
Average rate: 0.006 m per year
Number of years: 2x10^6 years
Calculating the distance:
(0.006 m/year) x (2x10^6 years) = 1.2x10^4 meters
Therefore, the tectonic plate would move approximately 1.2x10^4 meters in 2x10^6 years.
an asteroid is heading toward mars at the rate of 7.7 x 10^4 mi./hr if the asteroid is 3.311x10^8 miles away from mars, how many hours will it be before it hits mars? write the answer in scientific notation expressed to the exact decimal place
To calculate the time it will take for the asteroid to hit Mars, we need to divide the distance between the asteroid and Mars by the speed of the asteroid.
Distance to Mars: 3.311 x 10^8 miles
Speed of the asteroid: 7.7 x 10^4 mi./hr
Calculating the time:
(3.311 x 10^8 miles) / (7.7 x 10^4 mi./hr) = 4.30389610^3 hours
Therefore, it will be approximately 4.30389610^3 hours before the asteroid hits Mars.
a field of 3.9 mi^2 is being subdivided into 1.3x10^3 family gardens. how many square miles will there be in each garden? write the answer in scientific notation
To find the area in square miles of each garden, we need to divide the total area of the field by the number of family gardens.
Area of the field: 3.9 mi^2
Number of family gardens: 1.3x10^3
Calculating the area per garden:
(3.9 mi^2) / (1.3x10^3) = 3 x 10^-3 mi^2
Therefore, each garden will have an area of 3 x 10^-3 square miles.
charlee is using her calculator to find the product of two large numbers. her calculator shows 1.78E12 on the display. interpret what this means
The calculator display shows the number 1.78E12. This is a representation of the number in scientific notation.
The "E" in 1.78E12 stands for "exponent" and indicates that the decimal point should be moved 12 places to the right. Thus, the number can be written as:
1.78E12 = 1.78 x 10^12
In other words, the number on the calculator display is 1.78 multiplied by 10 raised to the power of 12, which equals 1,780,000,000,000 or 1.78 trillion.