A strand of hair has an average mass of 2.17 × 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.
The difference in mass between a grain of rice and a strand of hair can be found by subtracting the mass of a strand of hair from the mass of a grain of rice.
Mass of grain of rice = 0.002 ounces
Mass of strand of hair = 2.17 × 10^-5 ounces
Difference in mass = Mass of grain of rice - Mass of strand of hair
Difference in mass = 0.002 ounces - 2.17 × 10^-5 ounces
Difference in mass = 0.002 - 0.0000217
Difference in mass = 0.0019783
In scientific notation, this is written as 1.9783 × 10^-3.
Therefore, a grain of rice is 1.9783 × 10^-3 ounces heavier than a strand of hair.
To compare the mass of a grain of rice to that of a strand of hair, we need to subtract the mass of the hair from the mass of the rice.
Given:
Mass of hair strand = 2.17 × 10^-5 ounces
Mass of grain of rice = 0.002 ounces
To find the difference in mass, subtract the mass of the hair from the mass of the rice:
0.002 ounces - 2.17 × 10^-5 ounces
To subtract these numbers, we need to convert the mass of the hair strand to the same units as the grain of rice.
Since there are 16 ounces in a pound, we can convert the hair mass to pounds by multiplying it by the conversion factor:
2.17 × 10^-5 ounces * (1 pound / 16 ounces)
Simplifying this calculation:
2.17 × 10^-5 ounces * (1/16) pounds
To express the mass of the hair strand in scientific notation, we can write:
2.17 × 10^-5 * 1/16 pounds
Now, divide the hair strand mass by the rice mass:
0.002 ounces - (2.17 × 10^-5 * 1/16) pounds
To perform this calculation, convert the hair strand mass to ounces by multiplying by the conversion factor:
(2.17 × 10^-5 * 1/16) * 16 ounces
Simplifying the calculation:
2.17 × 10^-5 ounces
Now we can subtract:
0.002 ounces - 2.17 × 10^-5 ounces
Subtracting these values gives us:
0.0019783 ounces
To express this result in scientific notation, we need to move the decimal point two places to the left:
1.9783 × 10^-3 ounces
Therefore, a grain of rice is approximately 1.9783 × 10^-3 ounces heavier than a strand of hair.
To find out how much heavier a grain of rice is than a strand of hair, we need to subtract the mass of the hair from the mass of the rice.
The mass of the hair is given as 2.17 × 10^-5 ounces.
The mass of the rice is given as 0.002 ounces.
To subtract the masses, we can write it as a mathematical equation:
Mass of rice - Mass of hair = Difference in mass
0.002 - 2.17 × 10^-5 = Difference in mass
Now, let's subtract the masses:
0.002 - 2.17 × 10^-5 = 0.0019983
The difference in mass is 0.0019983 ounces.
To express this answer in scientific notation, we need to move the decimal point two places to the left:
0.0019983 = 1.9983 × 10^-3
Therefore, a grain of rice is 1.9983 × 10^-3 ounces heavier than a strand of hair.