Multiply in Scientific Notation Quick Check

Question

5 of 55 of 5 Items
Question
Multiply 0.75 by 2.8×10−5
.(1 point)
Responses

2.1×10−4
2 point 1 times 10 to the negative 4 power

2.1×10−5
2 point 1 times 10 to the negative 5 power

2.1×10−7
2 point 1 times 10 to the negative 7 power

2.1×10−6

Answer 1

To multiply \(0.75\) by \(2.8 \times 10^{-5}\), we follow these steps:

1. Multiply the coefficients: \[ 0.75 \times 2.8 = 2.1 \]

2. Add the exponents (since \(2.8 \times 10^{-5}\) in scientific notation has an exponent): There is no exponent for \(0.75\), so we consider it as \(10^0\). \[ -5 + 0 = -5 \]

3. Combine the results: \[ 2.1 \times 10^{-5} \]

Thus, the answer is: 2.1×10−5.