High School

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Write [tex]3.49 \times 10^0 \times 5.09 \times 10^{22}[/tex] in scientific notation.

A) [tex]1.70 \times 10^{22}[/tex]
B) [tex]1.70 \times 10^{22}[/tex]
C) [tex]1.70 \times 10^{22}[/tex]
D) [tex]1.70 \times 10^{22}[/tex]

Answer :

Final answer:

To multiply 3.49x10⁰ and 5.09x10²² in scientific notation, multiply the decimal parts and add the exponents to get 1.775x10²². However, the student's provided answer options contain a typographical error, listing all choices as 1.70x10²².

Explanation:

The student has asked to write the multiplication of 3.49x10⁰ and 5.09x10²² in scientific notation. To multiply these numbers in scientific notation, one must multiply the decimal numbers and add the exponents. The product of the decimal numbers 3.49 and 5.09 is 17.7501, which can be rounded to 1.775 to fit scientific notation standards. The sum of the exponents 0 (from 10⁰) and 22 (from 10²²) is 22. Therefore, when the product is put into proper scientific notation, it results in 1.775x10²². However, the student's answer choices all appear identical as 1.70x10²², which seems to be a typographical error as the correct multiplication would actually give 1.775x10²², not 1.70x10²².

Please double-check for any typographical errors in the options, as it seems there might be a mistake in the answer choices provided.

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Rewritten by : Jeany