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
To find how much heavier a grain of rice is than a strand of hair, we need to subtract the mass of the hair strand (2.17×10^(-5) ounces) from the mass of the grain of rice (0.002 ounces).
0.002 ounces - 2.17×10^(-5) ounces = 0.001999783 ounces
Since the answer is less than 1, we can express it in scientific notation as:
1.999783×10^(-3) ounces.
Therefore, a grain of rice is 1.999783×10^(-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 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 (given)
Mass of a strand of hair = 2.17×10^(-5) ounces (given)
To subtract these two values, we can use scientific notation to write them both in the same format:
0.002 ounces = 2 × 10^(-3) ounces (scientific notation)
2.17×10^(-5) ounces (already in scientific notation)
Now, subtract the mass of the hair strand from the grain of rice:
(2 × 10^(-3)) - (2.17×10^(-5))
To subtract these values, we need to have them written in the same exponent, which in this case is 10^(-5). So, we can rewrite 2 × 10^(-3) as 20 × 10^(-4) to have a common exponent.
(20 × 10^(-4)) - (2.17×10^(-5))
Now, subtract the coefficients (20 - 2.17) and keep the same exponent:
= 17.83 × 10^(-4)
Since we want our answer in scientific notation, we write it as:
1.783 × 10^(-3) ounces
Therefore, a grain of rice is 1.783 × 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 subtract the mass of the hair from the mass of the rice.
Given:
Mass of a strand of hair = 2.17 × 10^(-5) ounces
Mass of a grain of rice = 0.002 ounces
We subtract the mass of the hair from the mass of the rice:
0.002 ounces - 2.17 × 10^(-5) ounces
When subtracting quantities with different powers of 10, we need to convert them to the same power of 10. In this case, we can convert the mass of the hair to 0.002 ounces by multiplying both numerator and denominator by 100.
2.17 × 10^(-5) ounces = 2.17 × 10^(-5) * 100/100 = 2.17 × (10^(-5) * 100)/100 = 2.17 × (10^(-3))/100
Now we can subtract the masses:
0.002 ounces - 2.17 × (10^(-3))/100
Simplifying:
0.002 ounces - 0.0217 × (10^(-3)) ounces
Now, we can express the answer in scientific notation by moving the decimal point:
0.002 - 0.0217 × (10^(-3)) = -0.0197 × (10^(-3))
Therefore, a grain of rice is -0.0197 × (10^(-3)) ounces heavier than a strand of hair.
so what the answer
Apologies for the confusion in my previous response.
To find how much heavier a grain of rice is than a strand of hair, we need to subtract the mass of the hair strand (2.17×10^(-5) ounces) from the mass of the grain of rice (0.002 ounces).
0.002 ounces - 2.17×10^(-5) ounces = 0.0019783 ounces
To express the answer in scientific notation, we can write it as:
1.9783×10^(-3) ounces
Therefore, a grain of rice is 1.9783×10^(-3) ounces heavier than a strand of hair.
so the answer is
The answer is 1.9783×10^(-3) ounces.
Light travels at an approximate rate of 1.9×105 mi./sec. There are about 3.2×107 seconds in a year. About how many miles does light travel in a year? Write the answer in scientific notation. Express the answer to the exact decimal place.(1 point) miles
To find the distance light travels in a year, we can multiply the speed of light (1.9×10^5 mi/sec) by the number of seconds in a year (3.2×10^7 seconds).
Distance traveled = speed * time
Distance traveled = 1.9×10^5 mi/sec * 3.2×10^7 seconds
To multiply the numerical values, we multiply the coefficients (1.9 * 3.2 = 6.08). For the powers of 10, we add the exponents (10^5 * 10^7 = 10^12).
Distance traveled = 6.08 * 10^12 miles
Expressing the result in scientific notation, the answer is:
6.08 × 10^12 miles
Therefore, light travels approximately 6.08 × 10^12 miles in a year.