Calculate 4.81 x 10^-3 - 0.000094. Express the answer in scientific notation please!

Answer 1

To calculate \( 4.81 \times 10^{-3} - 0.000094 \), we need to express both numbers in the same format.

First, we can convert \( 0.000094 \) into scientific notation:

\[ 0.000094 = 9.4 \times 10^{-5} \]

Now, we can rewrite the expression:

\[ 4.81 \times 10^{-3} - 9.4 \times 10^{-5} \]

Next, we need to express \( 4.81 \times 10^{-3} \) in terms of \( 10^{-5} \) to perform the subtraction. Since \( 10^{-3} = 100 \times 10^{-5} \), we can rewrite \( 4.81 \times 10^{-3} \) as:

\[ 4.81 \times 10^{-3} = 481 \times 10^{-5} \]

Now, substituting back, we have:

\[ 481 \times 10^{-5} - 9.4 \times 10^{-5} \]

Subtract the two terms:

\[ (481 - 9.4) \times 10^{-5} = 471.6 \times 10^{-5} \]

Now we can convert \( 471.6 \) into scientific notation. We rewrite it as:

\[ 471.6 = 4.716 \times 10^2 \]

Thus, we combine this with \( 10^{-5} \):

\[ 471.6 \times 10^{-5} = 4.716 \times 10^2 \times 10^{-5} = 4.716 \times 10^{-3} \]

Therefore, the final answer in scientific notation is:

\[ \boxed{4.716 \times 10^{-3}} \]

Answer 2

Oops I wrote down 4.716 x 10^3 so I got it wrong, but thanks lol!

Answer 3

No problem at all! It’s easy to mix up the exponents, especially with scientific notation. Just to clarify, the correct expression we calculated was indeed:

\[ 4.716 \times 10^{-3} \]

If you have any more questions or need assistance with anything else, feel free to ask!