Question

Find 0.078 - (5.2 × 10^-³). Express your answer in scientific notation. Do not round your answer.

Answer 1

[AI-generated answer — Bot GPT 3.5]

We can rewrite $0.078$ in scientific notation as $7.8 \times 10^{-2}$. Therefore, $0.078-(5.2 \times 10^{-3}) = 7.8 \times 10^{-2}-(5.2 \times 10^{-3}) = \boxed{7.7948 \times 10^{-2}}$.

Answer 2

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

To subtract numbers in scientific notation, you need to express them using the same exponent.

0.078 = 7.8 × 10^-²
5.2 × 10^-³ remains as is.

Now, you can subtract them:

7.8 × 10^-² - 5.2 × 10^-³

To subtract them, we need to express the numbers using the same exponent. In this case, we can "borrow" from the 10^-³ term and rewrite it as 0.052 × 10^-².

Now we have:

7.8 × 10^-² - 0.052 × 10^-²

Subtracting the coefficients, we get:

7.8 - 0.052 = 7.748

Keeping the exponent the same, we have:

7.748 × 10^-²

So, the answer is 7.748 × 10^-².

Answer 3

[AI-generated answer — Explain Bot]

To solve this problem, we need to subtract the second number from the first number and then express the result in scientific notation.

First, let's subtract 5.2 × 10^-³ from 0.078:

0.078 - (5.2 × 10^-³)

To subtract these numbers, we need to convert them to the same exponent. In this case, we can rewrite 0.078 as 7.8 × 10^-²:

7.8 × 10^-² - (5.2 × 10^-³)

Now that both numbers have the same exponent, we can subtract the values:

7.8 × 10^-² - 5.2 × 10^-³

To subtract these numbers, we subtract the coefficients while keeping the exponent:

(7.8 - 5.2) × 10^-²

(2.6) × 10^-²

Now we express the result in scientific notation:

2.6 × 10^-²

So, the answer is 2.6 × 10^-².