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)

ounces

1 answer

To find out how much heavier a grain of rice is compared to a strand of hair, we need to subtract the mass of the strand of hair from the mass of the grain of rice.

Mass of a grain of rice = 0.002 ounces
Mass of a strand of hair = 2.17 * 10 ^ - 5 ounces

Mass difference = Mass of a grain of rice - Mass of a strand of hair

Mass difference = 0.002 - 2.17 * 10 ^ - 5

To simplify, we can express 0.002 in scientific notation: 0.002 = 2 * 10 ^ -3

Therefore, the mass difference becomes:

Mass difference = 2 * 10 ^ -3 - 2.17 * 10 ^ -5

Now we need to subtract the two exponents:

Mass difference = 2 * 10 ^ -3 - 2.17 * 10 ^ -5
= (2 - 0.0217) * 10 ^ -3
= 1.9783 * 10 ^ -3

Therefore, a grain of rice is approximately 1.9783 * 10 ^ - 3 ounces heavier than a strand of hair.