Multiply. Write your answer in scientific notation.
900 · (2.7 × 10^34)
______________
Submit
Multiply. Write your answer in scientific notation. 900 · (2.7 × 10^34) ______________ Submit
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Multiply. Write your answer in scientific notation.
900 · (2.7 × 10^34)
______________
Submit
To multiply ( 900 ) by ( (2.7 times 10^{34}) ), we first rewrite ( 900 ) in scientific notation.
1. Convert ( 900 ) to scientific notation:
[
900 = 9.0 times 10^{2}
]
2. Now, multiply the two numbers:
[
(9.0 times 10^{2}) times (2.7 times 10^{34}) = (9.0 times 2.7) times (10^{2} times 10^{34})
]
3. Calculate ( 9.0 times 2.7 ):
[
9.0 times 2.7 = 24.3
]
4. Add the exponents of ( 10 ):
[
10^{2} times 10^{34} = 10^{(2+34)} = 10^{36}
]
5. Combine the results:
[
24.3 times 10^{36}
]
Since ( 24.3 ) is not between 1 and 10, we need to convert it:
[
24.3 = 2.43 times 10^{1}
]
So, we have:
[
(2.43 times 10^{