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 need to subtract the size of the hydrogen atom from the size of the oxygen atom.
Size of hydrogen atom = 1.2 × 10^(-10) m
Size of oxygen atom = 0.000000000152 m
To convert the size of the oxygen atom to scientific notation, we move the decimal point to the right until there is one non-zero digit to the left:
Size of oxygen atom = 1.52 × 10^(-10) m
Now we can subtract the size of the hydrogen atom from the size of the oxygen atom:
Difference = Size of oxygen atom - Size of hydrogen atom
Difference = (1.52 - 1.2) × 10^(-10) m
Simplifying the subtraction and keeping the result in scientific notation:
Difference = 0.32 × 10^(-10) m
Since the exponent is already negative, we don't need to perform any further calculations.
The difference between the sizes of these atoms in scientific notation is 0.32 × 10^(-10) m.
To find the difference between the sizes of these atoms, we need to subtract the size of the hydrogen atom from the size of the oxygen atom.
The size of a hydrogen atom is about 1.2 × 10^(-10) m, and the size of an oxygen atom is 0.000000000152 m.
To write both sizes in scientific notation, we convert the size of an oxygen atom:
0.000 000 000 152 m = 1.52 × 10^(-10) m
Now we can find the difference by performing the subtraction:
1.52 × 10^(-10) m - 1.2 × 10^(-10) m
To subtract these values, we need to have the same exponent. Since both are in scientific notation, we can subtract them directly:
1.52 × 10^(-10) m - 1.2 × 10^(-10) m = (1.52 - 1.2) × 10^(-10) m
Simplifying the subtraction:
0.32 × 10^(-10) m
Finally, we can write the result in 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 in scientific notation.