Multiply. Write your answer in scientific notation.
7 · (4 × 10⁹)
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Multiply. Write your answer in scientific notation. 7 · (4 × 10⁹)
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To solve the problem (7 cdot (4 times 10^9)), we can follow these steps:
1. Multiply the coefficients: First, multiply 7 by 4.
[
7 cdot 4 = 28
]
2. Combine with (10^9): Now, since we are working with scientific notation, we keep (10^9) as it is.
[
28 times 10^9
]
3. Convert to proper scientific notation: In scientific notation, we need a coefficient between 1 and 10. So, we rewrite 28 as (2.8 times 10^1):
[
28 times 10^9 = (2.8 times 10^1) times 10^9
]
4. Use the product of powers rule: We can add the exponents of 10:
[
2.8 times 10^{1+9} = 2.8 times 10^{10}
]
So, the final answer in scientific notation is:
[
boxed{2.8 times 10^{10}}
]
If you have any additional questions or need further help, feel free to ask!