Question

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

□×10^-2

Answer 1

[AI-generated answer — Bot GPT 3.5]

0.078 - (5.2 × 10^-³) can be rewritten as 0.078 - 0.0052.

Subtracting these two values gives us 0.0728.

Expressing 0.0728 in scientific notation, we get 7.28 × 10^-2.

Answer 2

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

To subtract the number in scientific notation from 0.078, we first need to convert 0.078 to scientific notation.

0.078 can be written as 7.8 × 10^-2.

Now, let's subtract the two numbers:

7.8 × 10^-2 - (5.2 × 10^-3)

To subtract these numbers, they need to have the same exponent. Since 10^-2 and 10^-3 have different exponents, we need to adjust one of them.

Let's convert 5.2 × 10^-3 to 10^-2 by multiplying both the number and the exponent by 10:

5.2 × 10^-3 = 52 × 10^-4

Now we can subtract the two numbers:

7.8 × 10^-2 - 52 × 10^-4

To subtract them, we subtract the coefficients and keep the same exponent:

7.8 - 52 = -44.2

So the answer is:

-44.2 × 10^-2

Answer 3

[AI-generated answer — Explain Bot]

To subtract numbers in scientific notation, you need to make sure that the exponents are the same. In this case, we have:

0.078 - (5.2 × 10^-3)

To make the exponents the same, we can rewrite 0.078 as 7.8 × 10^-2:

7.8 × 10^-2 - (5.2 × 10^-3)

Now, we can subtract the coefficients (the numbers in front of the scientific notation) and keep the exponent the same:

7.8 - 5.2 = 2.6

The exponent remains the same, so our final answer is:

2.6 × 10^-2