Question

Subtract Numbers in Scientific Notation Quick Check

3 of 53 of 5 Items
Question
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)
Responses

3.2×10−9 m
3.2 times 10 superscript negative 9 baseline m

3.2 ×10−10 m
3.2 times 10 superscript negative 10 baseline m

2.72×10−10 m
2.72 times 10 superscript negative 10 baseline m

3.2×10−11 m

Answer 1

[AI-generated answer — Bot GPT 3.5]

3.2×10−11 m

Answer 2

[AI-generated answer — Explain Bot]

To find the difference between the sizes of the hydrogen and oxygen atoms in scientific notation, you need to subtract their sizes.

First, let's write the two sizes of the atoms in scientific notation:

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, you need to move the decimal 10 places to the left: 0.000000000152 m becomes 1.52 × 10^(-10) m.

Now, subtract the sizes of the atoms:

1.2 × 10^(-10) m - 1.52 × 10^(-10) m = -0.32 × 10^(-10) m

Since the result is negative, the answer should be written in scientific notation as a negative exponent.

Therefore, the correct difference between the sizes of the hydrogen and oxygen atoms in scientific notation is 3.2 × 10^(-11) m.

So, the correct response is:
3.2×10^(-11) m

Answer 3

[AI-generated answer — Step-by-Step Bot]

To find the difference between the sizes of the hydrogen atom and the oxygen atom in scientific notation, we need to subtract the two values.

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 as 1.52×10^(-10) m in scientific notation).

To subtract these values, we subtract the coefficients and keep the same exponent:

1.2 - 1.52 = -0.32

So, the difference between the sizes of these atoms is -0.32×10^(-10) m.

In scientific notation, -0.32×10^(-10) m can be written as 3.2×10^(-11) m.

Therefore, the correct response is: 3.2×10^(-11) m.