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Express 1.248×10^-2÷7.8×10^-7 in scientific notation.

A. 1.6×10^4
B. 1.6×10^-4
C. 1.6×10^-3
D. 1.6×10^3

1 Answer

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Final answer:

The division of the given scientific notation numbers results in 1.6×105.

Step-by-step explanation:

To solve the problem, we need to divide the numbers in scientific notation and then express the result in scientific notation as well. We start by dividing the coefficients (1.248÷7.8) and then subtracting the exponents (-2 - (-7)), as per the laws of exponents for division.

The coefficient division gives us approximately 1.6 (since 1.248÷7.8 ≈1.6). The exponent subtraction gives us -2 - (-7) which simplifies to -2 + 7 = 5. Hence the result in scientific notation is 1.6×105.

Looking at the answer options, the correct choice is none of the above since the result is 1.6×105.

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