the size of a hydrogen atom is about 1.2\times 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 in size between these two atoms, we subtract the size of the hydrogen atom from the size of the oxygen atom:
0.000000000152 m - 1.2 × 10^(-10) m
To subtract these numbers, we need to write them in the same scientific notation format. We can write 0.000000000152 m as 1.52 × 10^(-10) m to make it easier to subtract:
1.52 × 10^(-10) m - 1.2 × 10^(-10) m
Now we subtract the numbers without changing the powers of 10:
(1.52 - 1.2) × 10^(-10) m
The difference in size between these atoms is:
0.32 × 10^(-10) m
In scientific notation, we write this as:
3.2 × 10^(-11) m
To find the difference between the sizes of these atoms in scientific notation, we need to subtract the sizes of the oxygen atom from the size of the hydrogen atom.
The size of a hydrogen atom is 1.2 x 10^(-10) m.
The size of an oxygen atom is 1.52 x 10^(-10) m.
To subtract these numbers, we need to align the exponents. In this case, we can convert the size of the oxygen atom to scientific notation with the same exponent as the hydrogen atom:
1.52 x 10^(-10) m = 1.52 x 10^(-10) m
Now, we can subtract the two sizes:
1.2 x 10^(-10) m - 1.52 x 10^(-10) m = -0.32 x 10^(-10) m
However, it is common practice to express the difference in scientific notation using positive exponents. Therefore, we can simplify the answer by adjusting the exponent:
-0.32 x 10^(-10) m = -3.2 x 10^(-11) m
So, the difference between the sizes of these atoms in scientific notation is approximately -3.2 x 10^(-11) m.
To find the difference between the sizes of these atoms in scientific notation, we can subtract the two given values.
The size of a hydrogen atom is given as 1.2 × 10^(-10) m.
The size of an oxygen atom is given as 0.000000000152 m.
To express these values in the same units, we need to convert the size of the oxygen atom to scientific notation.
0.000000000152 m = 1.52 × 10^(-10) m
Now, we can subtract the two values:
1.2 × 10^(-10) m - 1.52 × 10^(-10) m
To subtract these values, we need to express them with the same power of 10. Since both already have a negative exponent of 10, we can directly subtract the coefficients:
1.2 - 1.52 = -0.32
Now, let's express the result in scientific notation:
-0.32 = -3.2 × 10^(-1)
Therefore, the difference between the sizes of these atoms in scientific notation is -3.2 × 10^(-1).