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 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.
The mass of a grain of rice is 0.002 ounces, while the mass of a strand of hair is 2.17×10^−5 ounces.
To subtract these two values, we can write them in scientific notation to make the calculation easier.
0.002 = 2 × 10^-3 (this is equivalent to moving the decimal point three places to the left)
2.17 × 10^-5
Now, subtracting the two values:
(2 × 10^-3) - (2.17 × 10^-5) = 1.998 × 10^-3 - 2.17 × 10^-5
= 1.998 × 10^-3 - 0.0000217
= 1.998 × 10^-3 - 2.17 × 10^-5
= 1.975 × 10^-3
Therefore, a grain of rice is approximately 1.975 × 10^-3 ounces heavier than a strand of hair.
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 hair from the mass of the rice.
Given:
Mass of hair = 2.17 × 10^−5 ounces
Mass of rice = 0.002 ounces
To subtract these values, we can write it as a subtraction problem in scientific notation:
0.002 ounces - 2.17 × 10^−5 ounces
To subtract, we need to have the same exponent for the powers of 10. So, let's convert 0.002 ounces into scientific notation:
0.002 ounces = 2 × 10^−3 ounces
Now, we can subtract the two values:
2 × 10^−3 ounces - 2.17 × 10^−5 ounces
To subtract, we need to have the same base (10) and subtract the coefficients:
2 - 2.17 = -0.17
Now, let's subtract the powers of 10:
10^(-3) - 10^(-5) = 10^(-3) × (10^2) - 10^(-3) × (10^2) = 10^(-3+2) - 10^(-3+2) = 10^(-1)
Putting it all together, the difference in mass is:
-0.17 × 10^(-1) ounces
Simplifying further, we can write it in scientific notation:
-1.7 × 10^(-2) ounces
Therefore, a grain of rice is 1.7 × 10^(-2) ounces heavier than a strand of hair.
To determine how much heavier a grain of rice is than a strand of hair, you need to subtract the mass of the hair from the mass of the rice.
Given:
Mass of one strand of hair = 2.17×10^−5 ounces
Mass of one grain of rice = 0.002 ounces
To calculate the difference, subtract the mass of hair from the mass of rice:
0.002 ounces - 2.17×10^−5 ounces = ?
To subtract these values, you need to express them in the same units. Since both are already in ounces, you can subtract them directly.
Now, subtract the values:
0.002 - 2.17×10^−5 = 0.00199783...
To express this answer in scientific notation, we need to move the decimal point to have one digit in front of it:
0.00199783... = 1.99783x10^-3 ounces
Therefore, a grain of rice is 1.99783x10^-3 ounces heavier than a strand of hair.