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 in scientific notation, we need to subtract the sizes and express the result in scientific notation.
The size of a hydrogen atom is 1.2×10^-10 m, and the size of an oxygen atom is 0.000000000152 m.
The difference is calculated as:
1.2×10^-10 m - 0.000000000152 m
To do this subtraction, we need to match the units. We need to convert the size of an oxygen atom to scientific notation as well.
0.000000000152 m can be written as 1.52×10^-10 m in scientific notation.
Now we can subtract these values:
1.2×10^-10 m - 1.52×10^-10 m = -0.32×10^-10 m
Expressing the result in scientific notation:
-0.32×10^-10 m can be written as -3.2×10^-11 m
Therefore, the difference in size between these atoms is -3.2×10^-11 m.
To find the difference between the sizes of the two atoms in scientific notation, we can subtract the second number from the first number and express the result in scientific notation.
First, let's convert both sizes to the same units for easy comparison. Since the size of the hydrogen atom is given in meters (m), we need to convert the size of the oxygen atom from meters to the same unit.
The size of the hydrogen atom is 1.2×10^-10 m.
The size of the oxygen atom is 0.000000000152 m.
To convert the size of the oxygen atom to scientific notation, we need to move the decimal point 10 places to the right since the given value is already in scientific notation.
Therefore, the size of the oxygen atom in scientific notation is 1.52×10^-10 m.
Now, subtract the size of the oxygen atom from the size of the hydrogen atom:
1.2×10^-10 m - 1.52×10^-10 m = -0.32×10^-10 m
Notice that the result is in scientific notation, but the coefficient (-0.32) is not between 1 and 10.
To express the result in scientific notation, we can adjust the coefficient by moving the decimal place, while adjusting the exponent accordingly, to get a coefficient between 1 and 10.
In this case, we can move the decimal two places to the left, which results in -3.2:
-0.32×10^-10 m = -3.2×10^-11 m
So, the difference between the sizes of the two atoms in scientific notation is -3.2×10^-11 m.
To find the difference between the sizes of the hydrogen and oxygen atoms in scientific notation, we need to subtract their sizes.
Given:
Size of a hydrogen atom = 1.2×10^-10 m
Size of an oxygen atom = 0.000000000152 m
To convert the size of the oxygen atom to scientific notation, we need to determine the exponent that represents the number of decimal places we need to move. Since the size is 0.000000000152 m, we need to move the decimal point 11 places to the left.
So the size of the oxygen atom in scientific notation is:
0.000000000152 m = 1.52×10^-10 m
Now we can find the difference between the sizes of the atoms:
1.2×10^-10 m - 1.52×10^-10 m
To subtract these values, we need to have the same exponent. So let's rewrite the sizes with the same exponent:
1.2×10^-10 m - 0.152×10^-9 m
Now we can subtract the values and simplify:
1.2 - 0.152 = 1.048
×10^-10 m
Therefore, the difference between the sizes of the hydrogen and oxygen atoms in scientific notation is 1.048×10^-10 m.