Simplify this expression and put your answer in Scientific Notation:

Question

(5×10
6
)×(2×10
−2
) (4 points)

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

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

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

Step 4 Word Bank: (2.5 x 10^4, 7.0 x 10^4, 1 x 10^5, 10 x 10^4, or 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:

• Coefficients: 5 and 2
• Calculation: \(5 \times 2 = 10\)

Step 2:

Add the exponents to simplify:

• Exponents: 6 and -2
• Calculation: \(6 + (-2) = 4\)

So, we have: \[ 10 \times 10^{4} \]

Step 3:

Change the exponent for Scientific Notation:

• In Scientific Notation, we want a coefficient between 1 and 10. So \(10\) can be written as \(1 \times 10^1\).
• Therefore, we can write: \[ 10 \times 10^{4} = (1 \times 10^1) \times 10^{4} = 1 \times 10^{(1 + 4)} = 1 \times 10^{5} \]

Step 4:

The final answer in Scientific Notation is: \[ 1 \times 10^{5} \]

Thus, the answer is: 1 x 10^5.