Questions: Perform the following operations and express your answer in engineering notation - SHOW YOUR WORK: (200) 2 times(0.02) / 10000

To solve the given expression and express the answer in engineering notation, we need to perform the operations step by step. The expression is:

\[ (200) \times 2 \times (0.02) / 10000 \]

Step 1: Perform the multiplication inside the parentheses.

First, multiply 200 by 2:

\[ 200 \times 2 = 400 \]

Step 2: Multiply the result by 0.02.

\[ 400 \times 0.02 = 8 \]

Step 3: Divide the result by 10000.

\[ 8 / 10000 = 0.0008 \]

Step 4: Express the result in engineering notation.

Engineering notation is similar to scientific notation, but the exponent of ten is a multiple of three. The number 0.0008 can be expressed as:

\[ 0.0008 = 8 \times 10^{-4} \]

In engineering notation, we adjust the exponent to be a multiple of three:

\[ 8 \times 10^{-4} = 0.8 \times 10^{-3} \]

Thus, the answer in engineering notation is:

\[ 0.8 \times 10^{-3} \]

Summary:

The result of the operation \((200) \times 2 \times (0.02) / 10000\) expressed in engineering notation is \(0.8 \times 10^{-3}\).