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1.248 x 10^-2 divided by 7.8 x 10^-7

A. \(1.6 \times 10^5\)
B. \(1.6 \times 10^{-5}\)
C. \(1.6 \times 10^{-3}\)
D. \(1.6 \times 10^{3}\)

User Dyna
by
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1 Answer

7 votes

Final answer:

The correct answer to the question would be 1.6 x 10^4 after dividing the coefficients and subtracting the exponents in scientific notation, but this option isn't provided in the question's choices, indicating a possible error.

Step-by-step explanation:

The question involves dividing two numbers expressed in scientific notation. To solve 1.248 x 10^-2 divided by 7.8 x 10^-7, you divide the decimal numbers and then subtract the exponents of ten from each other (since it's division).

Step 1: Divide the decimal numbers: 1.248 ÷ 7.8 = 0.16.

Step 2: Subtract the exponents: (-2) - (-7) = 5 (because subtracting a negative is like adding its absolute value).

Therefore, after combining these two steps, the answer is formed into proper scientific notation:

0.16 x 10^5 = 1.6 x 10^4 (after adjusting the decimal to have one non-zero digit to the left).

However, the options provided in the question appear to have a typographical error, as the correct option 1.6 x 10^4 is not listed.

User Chmouel Boudjnah
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8.3k points