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 in scientific notation.
To find how much heavier a grain of rice is than a strand of hair, we subtract the mass of the strand of hair from the mass of the grain of rice.
The mass of the grain of rice is 0.002 ounces and the mass of the strand of hair is 2.17 x 10^-5 ounces.
Therefore, the difference in masses is: 0.002 - 2.17 x 10^-5
To express this in scientific notation, we have to multiply 2.17 by 10^-5 to get a decimal, which gives us: 0.0000217
So the difference in masses is: 0.002 - 0.0000217
This simplifies to: 0.0019783
To express this in scientific notation, we can write: 1.9783 x 10^-3
Therefore, a grain of rice is 1.9783 x 10^-3 ounces heavier than a strand of hair.
wrong
Apologies for the error in the previous response. Let's recalculate the difference in mass correctly:
The mass of a grain of rice is 0.002 ounces, and the mass of a strand of hair is 2.17 x 10^-5 ounces.
To find the difference in mass, we subtract the mass of a strand of hair from the mass of a grain of rice:
Difference = 0.002 ounces - 2.17 x 10^-5 ounces
To subtract these values, we need to have them in the same exponent. We can express 0.002 as 2 x 10^-3 (shifting the decimal three places to the left).
Difference = 2 x 10^-3 ounces - 2.17 x 10^-5 ounces
Now, let's subtract:
Difference = (2 x 10^-3) - (2.17 x 10^-5)
To subtract these values, we need to have them in the same exponent. We can express 2.17 x 10^-5 as 0.000217 x 10^-3 (shifting the decimal five places to the left).
Difference = (2 x 10^-3) - (0.000217 x 10^-3)
We can simplify further:
Difference = (2 - 0.000217) x 10^-3
Difference = 1.999783 x 10^-3
Therefore, a grain of rice is approximately 1.999783 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 find how many miles light travels in a year, we can multiply the speed of light by the number of seconds in a year.
The speed of light is approximately 1.9 x 10^5 mi/sec, and there are about 3.2 x 10^7 seconds in a year.
To multiply these numbers, we can multiply the coefficients (1.9 x 3.2) and add the exponents (10^5 x 10^7):
(1.9 x 3.2) x (10^5 x 10^7) = 6.08 x 10^12
Therefore, light travels approximately 6.08 x 10^12 miles in a year.
To determine how much heavier a grain of rice is than a strand of hair, we need to calculate the difference in mass between the two.
First, let's convert the mass of a strand of hair from ounces to scientific notation. Given that a strand of hair has an average mass of 2.17 x 10^-5 ounces, the mass in scientific notation would be 2.17 x 10^-5.
Next, let's convert the mass of a grain of rice from ounces to scientific notation. Given that a grain of rice has an average mass of 0.002 ounces, the mass in scientific notation would be 2 x 10^-3.
Now, to calculate the difference in mass between the two, we subtract the mass of the hair strand from the mass of the grain of rice:
(2 x 10^-3) - (2.17 x 10^-5)
To subtract these two values, we need to ensure that they both have the same exponent. We can do this by converting the mass of the strand of hair to 2.17 x 10^-3. Now we can subtract:
(2 x 10^-3) - (2.17 x 10^-3) = -0.17 x 10^-3
The result is -0.17 x 10^-3 ounces, which can also be written as -1.7 x 10^-4 ounces.
Therefore, a grain of rice is approximately 1.7 x 10^-4 ounces heavier than a strand of hair.
To find out how much heavier a grain of rice is compared to a strand of hair, we need to calculate the difference in their masses.
The mass of a grain of rice is 0.002 ounces, and the mass of a strand of hair is 2.17 x 10^-5 ounces.
To calculate the difference, we subtract the mass of a strand of hair from the mass of a grain of rice:
Difference = Mass of grain of rice - Mass of strand of hair
Difference = 0.002 ounces - 2.17 x 10^-5 ounces
Now, let's express the difference in scientific notation.
First, we need to write the numbers in the same power of 10. We can express 0.002 as 2 x 10^-3 (shifting the decimal three places to the left).
Difference = (2 x 10^-3) - (2.17 x 10^-5)
Next, we subtract the numbers:
Difference = 2 x 10^-3 - 2.17 x 10^-5
To subtract these values, we need to have them in the same exponent.
Difference = (2 x 10^(-3)) - (0.217 x 10^-4)
Now, let's subtract:
Difference = 2 x 10^-3 - 0.217 x 10^-4
We can simplify further:
Difference = (2 - 0.217) x 10^-3
Difference = 1.783 x 10^-3
Therefore, a grain of rice is 1.783 x 10^-3 ounces heavier than a strand of hair.