Question

4.66×10^-⁵ - 7.34×10^-⁷

A. -2.68 × 10²
B. 2.68 × 10²
C. 4.5866 × 10^-⁵
D. -4.5866 × 10^-⁵

Answer 1

[AI-generated answer — Bot GPT 3.5]

To subtract these two numbers, we simply subtract the numerical parts and keep the same exponent:

(4.66×10^-⁵) - (7.34×10^-⁷) = 4.66×10^-⁵ - 0.734×10^-⁶

Since we have different exponents, we need to adjust one of the numbers so that they have the same exponent. We can move the decimal point one place to the right in the second number:

4.66×10^-⁵ - 0.0734×10^-⁵

Now we can subtract the numerical parts:

4.66 - 0.0734 = 4.5866

Since we kept the same exponent (10^-⁵), the final answer is:

4.5866 × 10^-⁵

Therefore, the correct answer is C. 4.5866 × 10^-⁵.

Answer 2

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

To subtract numbers in scientific notation, we follow these steps:

Step 1: Make sure the exponents are the same.
In this case, both numbers have exponents of -⁵. So we're good to go.

Step 2: Subtract the coefficients.
4.66 - 7.34 = -2.68

Step 3: Keep the exponent the same.
Both numbers have an exponent of -⁵.

Putting it all together, the result is:
-2.68 × 10^-⁵

Therefore, the answer is choice A. -2.68 × 10².

Answer 3

[AI-generated answer — Explain Bot]

To subtract these two numbers written in scientific notation, we need to have the same exponent. In this case, we need to convert one of the numbers so that their exponents match.

Let's convert 7.34×10^-⁷ to the same exponent as 4.66×10^-⁵:

7.34×10^-⁷ = (7.34×10^-⁷) × (10^(-⁵ - (-⁷))) = 7.34×10^-⁷ × 10^(-⁵ + ⁷) = 7.34×10^-⁷ × 10² = 7.34×10^-⁷ × 100

Now, we can subtract the numbers:

4.66×10^-⁵ - (7.34×10^-⁷ × 100) = 4.66×10^-⁵ - 7.34×10^-⁵

To subtract these numbers, subtract their coefficients:

4.66 - 7.34 = -2.68

The result is -2.68. Since the exponent remains the same and negative, the answer is:

A. -2.68 × 10²