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? (1 point)
3.2 × 10^−10 m
2.72 × 10^−10 m
3.2 × 10^−9 m
3.2 × 10^−11 m
To determine the difference between the sizes of these 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 simplify this subtraction, we need to express both measurements in scientific notation with the same exponent:
0.000000000152 m = 1.52 × 10^-10 m
Now we can subtract the two values:
1.52 × 10^-10 m - 1.2 × 10^−10 m = (1.52 - 1.2) × 10^-10 m = 0.32 × 10^-10 m
Finally, we express the result in proper scientific notation:
0.32 × 10^-10 m = 3.2 × 10^-11 m
Therefore, the difference between the sizes of these atoms is 3.2 × 10^-11 m. Answer: 3.2 × 10^-11 m.
To find the difference between the sizes of the hydrogen and oxygen atoms in scientific notation, 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, we need to make sure the numbers are in the same units.
The size of the hydrogen atom in meters can be converted to scientific notation as 1.2 × 10^−10 m.
Now, we can subtract the two numbers: 0.000000000152 m - 1.2 × 10^−10 m = 0.000000000152 m - 0.00000000012 m
Subtracting the numbers gives: 0.000000000032 m
In scientific notation, this can be written as: 3.2 × 10^−11 m.
Therefore, the correct answer is:
3.2 × 10^−11 m.
To find the difference between the sizes of the hydrogen and oxygen atoms, you 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, and the size of the oxygen atom is 0.000000000152 m, which can be written in scientific notation as 1.52 × 10^−10 m.
Now, you can subtract the size of the hydrogen atom from the size of the oxygen atom:
1.52 × 10^−10 m - 1.2 × 10^−10 m
To subtract the values, you need to make the exponents the same. In this case, both exponents are already -10.
Subtracting the numbers:
1.52 × 10^−10 m - 1.2 × 10^−10 m = 0.32 × 10^−10 m
However, in scientific notation, the coefficient (0.32) should be between 1 and 10. To express this number in scientific notation, move the decimal point one place to the left:
0.32 × 10^−10 m = 3.2 × 10^−11 m
Therefore, the difference between the sizes of the hydrogen and oxygen atoms is 3.2 × 10^−11 m.
Hence, the correct answer is 3.2 × 10^−11 m.