Final answer:
The quotient of 77.536×107 and 7.85×102 is 9.8703×105 when expressed in scientific notation, adjusted to four significant figures.
Step-by-step explanation:
To find the quotient of 77.536×107 and 7.85×102 expressed in scientific notation, you first divide the decimal parts, and then subtract the exponents of 10:
×7/2 = (77.536/7.85) × 10(7-2)
Calculating the division of the decimal parts (77.536/7.85) and managing the exponents gives us:
9.870319 × 105
However, for scientific notation, we need to have a single non-zero digit to the left of the decimal point, so we adjust this to:
9.8703×105 where 9.8703 is rounded to four significant figures.
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