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.
To find out how much heavier a grain of rice is than a strand of hair, we subtract the mass of a strand of hair from the mass of a grain of rice.
Mass of a grain of rice = 0.002 ounces
Mass of a strand of hair = 2.17 * 10^(-5) ounces
Mass of a grain of rice - Mass of a strand of hair = 0.002 - 2.17 * 10^(-5) ounces
To simplify the above expression, we can convert 0.002 to scientific notation, which is 2 * 10^(-3).
2 * 10^(-3) - 2.17 * 10^(-5)
= 1.983 * 10^(-3)
Therefore, a grain of rice is 1.983 * 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 calculate the difference in their masses. We can do this by subtracting the mass of a strand of hair from the mass of a grain of rice.
Mass of a grain of rice = 0.002 ounces
Mass of a strand of hair = 2.17 * 10^(-5) ounces
Difference in mass = Mass of a grain of rice - Mass of a strand of hair
Difference in mass = 0.002 - 2.17 * 10^(-5)
To express the answer in scientific notation, we need to convert it to the form A * 10^B, where A is a number between 1 and 10 (excluding 10) and B is an exponent.
So the answer is 1.99783 * 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 a hair strand from the mass of a grain of rice.
Let's do the calculations step by step:
1. The mass of a strand of hair is given as 2.17 * 10^(-5) ounces.
Note that in scientific notation, 10^(-5) means 10 raised to the power of -5, which is equal to 1 divided by 10^5.
2. The mass of a grain of rice is given as 0.002 ounces.
3. Subtract the mass of the hair strand from the mass of the grain of rice:
0.002 ounces - 2.17 * 10^(-5) ounces
Before we continue with the subtraction, we need to make sure that both values have the same exponent.
To convert 0.002 to scientific notation:
0.002 = 2 * 10^(-3) ounces
Now, we can subtract:
(2 * 10^(-3)) ounces - (2.17 * 10^(-5)) ounces
Since both values have the same base, which is 10, we can subtract the exponents:
2 * 10^(-3 - (-5)) ounces
Next, simplify the exponent:
2 * 10^(-3 + 5) ounces
Combine the numbers:
2 * 10^2 ounces
Finally, express the answer in scientific notation:
2 * 10^2 ounces = 200 ounces
So, a grain of rice is 200 times heavier than a strand of hair.