Question

Multiply in Scientific Notation Quick Check
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**