Multiply in Scientific Notation Quick Check

Question

1 of 51 of 5 Items
Question
What is 5.5×104
multiplied by 2.2×10−8
? Write the answer in scientific notation.(1 point)
Responses

1.21×10−3
1.21 times 10 negative cubed

1.21×10−5
1.21 times 10 superscript negative 5 baseline

12.1×10−4
12.1 times 10 superscript negative 4 baseline

1.21×10−4

Answer 1

To multiply numbers in scientific notation, you multiply the coefficients and then add the exponents of the powers of 10.

For the given problem:

\[ (5.5 \times 10^4) \times (2.2 \times 10^{-8}) \]

1. Multiply the coefficients: \[ 5.5 \times 2.2 = 12.1 \]

2. Add the exponents: \[ 4 + (-8) = -4 \]

Now put it together: \[ 12.1 \times 10^{-4} \]

To express this in proper scientific notation, we need the coefficient to be between 1 and 10. So we convert \(12.1\) to \(1.21\) and increase the exponent by 1:

\[ 1.21 \times 10^{-3} \]

Thus, the answer is:

1.21×10−3