Multiply. Write your answer in scientific notation.
100 · (2.3 × 10³)
A) 2.3 × 10⁵
B) 2.3 × 10⁴
C) 23 × 10⁴
D) 230 × 10³
Multiply. Write your answer in scientific notation. 100 · (2.3 × 10³)
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Multiply. Write your answer in scientific notation.
100 · (2.3 × 10³)
A) 2.3 × 10⁵
B) 2.3 × 10⁴
C) 23 × 10⁴
D) 230 × 10³
To solve the problem ( 100 cdot (2.3 times 10^3) ), we can break it down into two parts:
1. First, multiply ( 100 ) by ( 2.3 ):
[
100 cdot 2.3 = 230
]
2. Then, we multiply the result by ( 10^3 ):
[
230 cdot 10^3
]
Next, we need to express ( 230 ) in scientific notation. We can write ( 230 ) as:
[
2.3 times 10^2
]
So, now substituting back into the equation:
[
2.3 times 10^2 cdot 10^3 = 2.3 times 10^{2+3} = 2.3 times 10^5
]
The final answer is:
A) ( 2.3 times 10^5 )
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