the mass of a certain grain of rice is about 3 x 10^-2 grams. The mass of a certain grain of salt is about 6 x 10^-5 grams.
1) which has a greater mass?
2) how many times greater is the mass of the larger grain than the smaller grain?
well, 10^-2 is 1000 times as big as 10^-5
That is, 10^-2 = 10^-5 * 10^3
2) how many times greater would then be 40 times?
To compare the masses of the grain of rice and the grain of salt, we can look at the numerical values in scientific notation.
1) Comparing the masses:
The grain of rice has a mass of 3 x 10^-2 grams.
The grain of salt has a mass of 6 x 10^-5 grams.
To compare the masses, we need to convert both masses to the same power of ten. We can do this by multiplying or dividing both masses by appropriate powers of ten. In this case, we need to bring the mass of the grain of salt to the same power as the mass of the grain of rice (10^-2).
To convert the mass of the grain of salt to 10^-2 grams:
6 x 10^-5 grams x (10^3 / 10^3) = 6 x 10^-5 grams x 10^3 = 6 x 10^-5 grams x 1000 = 6 x 10^-5 grams x 0.001 = 6 x 10^-8 grams
Now we can compare the masses:
With the mass of the grain of rice being 3 x 10^-2 grams and the mass of the grain of salt being 6 x 10^-8 grams, we can see that the grain of rice has a greater mass.
2) Calculating the difference in mass:
To determine how many times greater the mass of the grain of rice is compared to the grain of salt, we can divide the two masses.
Mass of rice / Mass of salt = (3 x 10^-2 grams) / (6 x 10^-8 grams)
To divide these numbers:
(3 / 6) x (10^-2 / 10^-8) = 0.5 x 10^6 = 0.5 x 1,000,000
So, the mass of the grain of rice is 500,000 times greater than the mass of the grain of salt.
not even close...
(3 x 10^-2)/(6 x 10^-5) = 3/6 x 10^3 = 500
How ever did you get 40?
sorry I'm working on another problems as well, yes 500
3/6 x 10^-2-(-5)
.5 x 10^3
500