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

3 answers

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:

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

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

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!

Similar Questions
  1. Calculate 4.81×10−3 − 0.000094. Express the answer in scientific notation.(1 point)
    1. answers icon 1 answer
    1. answers icon 0 answers
  2. Scientific Notation Unit Test9 of 159 of 15 Items Question Calculate 4.8×10−3−9.4×10−6 . Express the answer in
    1. answers icon 3 answers
  3. Subtract Numbers in Scientific Notation PracticeComplete this assessment to review what you've learned. It will not count toward
    1. answers icon 1 answer
more similar questions