Multiply. Write your answer in scientific notation.
0.0053 · (4 × 10³³)
Submit
Multiply. Write your answer in scientific notation. 0.0053 · (4 × 10³³) Submit.
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Multiply. Write your answer in scientific notation.
0.0053 · (4 × 10³³)
Submit
To multiply the numbers and express the result in scientific notation, follow these steps:
1. Multiply the coefficients:
– 0.0053 (which is 5.3 × 10⁻³) and 4
– ( 5.3 times 4 = 21.2 )
2. Combine the powers of ten:
– You have ( 10^{-3} ) and ( 10^{33} )
– ( 10^{-3} times 10^{33} = 10^{30} ) (because you add the exponents: -3 + 33 = 30)
3. Put it all together:
– Combine the coefficient and the power of ten:
– ( 21.2 times 10^{30} )
4. Convert to proper scientific notation:
– In scientific notation, the coefficient should be between 1 and 10.
– Therefore, ( 21.2 ) can be expressed as ( 2.12 times 10^1 ),
– Thus, ( 2.12 times 10^1 times 10^{30} = 2.12 times 10^{31} ).
So, the final answer is:
( 2.12 times 10^{31} ).
Let me know if you need further assistance!