The size of a hydrogen atom is about 1.2×10^−10 m across. The size of an oxygen atom is 0.000000000152 m across. What is the difference between the sizes of these atoms in scientific notation?
To find the difference between the sizes of these atoms, we subtract the sizes:
1.2×10^−10 m - 0.000000000152 m
To subtract these values, we need to convert both to scientific notation with the same exponent:
1.2×10^−10 m = 1.2×10^(-10-9) m = 1.2×10^-19 m
0.000000000152 m = 1.52×10^(9-9) m = 1.52×10^0 m = 1.52 m
Now we can subtract:
1.2×10^-19 m - 1.52 m
Since these values are in different units, we will convert the 1.52 m to scientific notation with an exponent of -19:
1.2×10^-19 m - 1.52 m = 1.2×10^-19 m - 1.52×10^-19 m
Now we can subtract the values of the exponents:
1.2×10^-19 m - 1.52×10^-19 m = (1.2 - 1.52)×10^-19 m
Simplifying the subtraction:
(1.2 - 1.52) = -0.32
Therefore, the difference between the sizes of these atoms in scientific notation is approximately -0.32×10^-19 m.
To calculate the difference between the sizes of these atoms, we subtract the size of the hydrogen atom from the size of the oxygen atom:
Size of oxygen atom - Size of hydrogen atom = 0.000000000152 m - 1.2×10^-10 m
To subtract these numbers in scientific notation, we need to have the same exponent. So, let's convert 0.000000000152 m to scientific notation:
0.000000000152 m = 1.52 × 10^-10 m
Now we have:
1.52 × 10^-10 m - 1.2 × 10^-10 m
To subtract these numbers, we subtract the coefficients and keep the exponent the same:
(1.52 - 1.2) × 10^-10 m = 0.32 × 10^-10 m
Finally, we can rewrite 0.32 × 10^-10 m in scientific notation:
0.32 × 10^-10 m = 3.2 × 10^-11 m
Therefore, the difference between the sizes of these atoms in scientific notation is 3.2 × 10^-11 m.
To find the difference between the sizes of these atoms in scientific notation, we need to subtract the size of the hydrogen atom from the size of the oxygen atom.
The size of the hydrogen atom is 1.2×10^−10 m, which can be represented in scientific notation as 1.2E-10 m.
The size of the oxygen atom is 0.000000000152 m. To represent this in scientific notation, we move the decimal point 11 places to the left, resulting in 1.52E-10 m.
Now, to find the difference, we subtract the size of the hydrogen atom from the size of the oxygen atom:
1.52E-10 m - 1.2E-10 m = 0.32E-10 m
However, for simplicity and to maintain consistent scientific notation, we can rewrite this as:
0.32E-10 m = 3.2E-11 m
Therefore, the difference between the sizes of these atoms in scientific notation is 3.2E-11 m.