Simplify this expression and put your answer in Scientific Notation:

Question

(5×10
6
)×(2×10
−2
) (4 points)

Step 1: (Add, Subtract, Multiply, Divide) the coefficients

Step 2: (Add, Subtract, Multiply, Divide) the exponents to simplify.

Step 3: (Add to the exponent, subtract from the exponent, Do not change the exponent) to change the exponent for Scientific Notation

Step 4: (2.5 x 10^4, 7.0 x 10^4, 1 x 10^5, 10 x 10^4, 1 x 10^3) is the final answer.

Answer 1

Let's simplify the expression \((5 \times 10^6) \times (2 \times 10^{-2})\) step by step.

Step 1: Multiply the coefficients

The coefficients are \(5\) and \(2\). \[ 5 \times 2 = 10 \]

Step 2: Add the exponents

The exponents are \(6\) and \(-2\). \[ 6 + (-2) = 4 \]

Now we combine the results from Steps 1 and 2: \[ 10 \times 10^4 \]

Step 3: Change to Scientific Notation

To write \(10 \times 10^4\) in Scientific Notation, we adjust it to: \[ 1.0 \times 10^5 \] (because \(10\) can be written as \(1.0 \times 10^1\), and adding the exponents results in \(1 + 4 = 5\)).

Step 4: Final answer

The final answer in Scientific Notation is: \[ \boxed{1.0 \times 10^5} \]

Note: The final answer options provided do not include \(1.0 \times 10^5\). However, it is equivalent to \(1 \times 10^5\), which is one of the forms commonly accepted in Scientific Notation. If you are required to choose from the options, you can select \(1 \times 10^5\).