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 the difference in mass between a grain of rice and a strand of hair, we subtract the mass of the strand of hair from the mass of the 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 - 2.17 * 10^(-5) = 0.002 - 0.0000217
Since the difference is less than 1, we can express it in scientific notation:
Difference in mass = 1.9783 * 10^(-3) ounces
Therefore, a grain of rice is 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 can subtract the mass of a strand of hair from the mass of a grain of rice.
The mass of a grain of rice is 0.002 ounces, and the mass of a strand of hair is 2.17 * 10^-5 ounces.
To subtract the two masses, we can perform the following calculation: 0.002 - 2.17 * 10^-5.
To express the answer in scientific notation, we need to convert the result to a number between 1 and 10 (the coefficient) multiplied by a power of 10 (the exponent).
0.002 - 2.17 * 10^-5 = 0.002 - 0.0000217 = 0.0019783.
The coefficient is 1.9783 (rounded to four decimal places), and to move the decimal point back to the original position, we need to multiply the coefficient by 10^3.
1.9783 * 10^3 = 1.9783e3 (using scientific notation).
Therefore, a grain of rice is approximately 1.9783 * 10^3 times (or 1978.3 times) 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 a strand of hair from the mass of a grain of rice.
1. Convert the masses to scientific notation:
- The mass of a strand of hair: 2.17 * 10^-5 ounces
- The mass of a grain of rice: 0.002 ounces
2. Subtract the mass of a strand of hair from the mass of a grain of rice:
0.002 ounces - 2.17 * 10^-5 ounces
To perform the subtraction, we need to convert one of the numbers into the same scientific notation format as the other. Let's convert 0.002 ounces into scientific notation.
3. Convert 0.002 ounces to scientific notation:
0.002 = 2 * 10^-3
Now that both numbers are in scientific notation, we can proceed with the subtraction:
2 * 10^-3 ounces - 2.17 * 10^-5 ounces
4. Perform the subtraction:
(2 * 10^-3) - (2.17 * 10^-5)
When subtracting numbers in scientific notation, the exponents must be the same. Let's rewrite the expression so both exponents are the same (10^-5):
= (2 * 10^(-3 - (-5))) - (2.17 * 10^-5)
= (2 * 10^2) - (2.17 * 10^-5)
Now we can calculate the values:
= 200 - (2.17 * 10^-5)
= 199.9999783
5. Express the result in scientific notation:
≈ 2.000000 × 10^2
Therefore, a grain of rice is approximately 2.000000 × 10^2 times heavier than a strand of hair.