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. (1 point)
__x___ounces
To find out how much heavier a grain of rice is than a strand of hair, we need to subtract the mass of the strand of hair from the mass of the grain of rice.
0.002 - 2.17 × 10^-5
To subtract these numbers, we need to convert the mass of the strand of hair to the same scientific notation as the mass of the grain of rice.
2.17 × 10^-5 can be written as 2.17 × 10^-3 × 10^-2
Now, the masses can be subtracted:
0.002 - 2.17 × 10^-3 × 10^-2
Simplifying the expression:
0.002 - 2.17 × 10^-5
Finally, we can express the answer in scientific notation:
1.83 × 10^-3 ounces
Therefore, a grain of rice is 1.83 × 10^-3 ounces heavier than a strand of hair.
To find the difference in mass 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 rice = 0.002 ounces
Mass of hair = 2.17 × 10^(-5) ounces
Difference in mass = Mass of rice - Mass of hair
Difference in mass = 0.002 - 2.17 × 10^(-5)
Now we can express the result in scientific notation:
0.002 - 2.17 × 10^(-5) = 0.00199783
Since the result is already in scientific notation, we can leave it as it is:
2.17 × 10^(-3) ounces
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 these two values and express the answer in scientific notation, we can use the following steps:
1. Write the masses in scientific notation if they are not already.
- The mass of the hair is already in scientific notation: 2.17 × 10^(-5) ounces.
- The mass of the rice is 0.002 ounces, which can be written in scientific notation as 2 × 10^(-3) ounces.
2. Subtract the mass of the hair from the mass of the rice.
- (2 × 10^(-3)) - (2.17 × 10^(-5)) = 1.9983 × 10^(-3) ounces.
So, a grain of rice is 1.9983 × 10^(-3) ounces heavier than a strand of hair.