Multiply. Write your answer in scientific notation.
(4.5 x 10^10)(9.8 x 10^-12)
Multiply. Write your answer in scientific notation. (4.5 x 10^10)(9.8 x 10^-12)
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Multiply. Write your answer in scientific notation.
(4.5 x 10^10)(9.8 x 10^-12)
To multiply the two numbers in scientific notation, you can follow these steps:
1. Multiply the coefficients: Multiply 4.5 by 9.8.
[
4.5 times 9.8 = 44.1
]
2. Add the exponents: Add the exponents of (10) together:
[
10^{10} times 10^{-12} = 10^{10 + (-12)} = 10^{-2}
]
3. Combine the results: Now, combine the coefficient and the power of ten:
[
44.1 times 10^{-2}
]
4. Convert to proper scientific notation: Since the coefficient (44.1) is not between 1 and 10, we adjust it:
[
44.1 = 4.41 times 10^1 quad Rightarrow quad 4.41 times 10^1 times 10^{-2} = 4.41 times 10^{-1}
]
Thus, the final answer in scientific notation is:
[
boxed{4.41 times 10^{-1}}
]
Keep practicing, and feel free to ask more questions if you need help!