What is the quotient of 1.485×10⁶ and 4.95×10² expressed in scientific notation? 1) 1.485×10⁴ 2) 1.485×10³ 3) 1.485×10² 4) 1.485×10¹

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asked Dec 10, 2024 13.2k views

1 Answer

Charito · Answer 1 · 2024-12-14T11:38:54+0000

The quotient of 1.485×10^6 and 4.95×10^2, when expressed in scientific notation, is 3×10^3, which is option 2 from the given list.

To find the quotient of 1.485×106 and 4.95×102, you need to divide the numbers in scientific notation. First, divide the coefficients (1.485÷4.95) and then subtract the exponents (6-2). When dividing the coefficients, you get approximately 0.3, and when subtracting the exponents, you get 4. Adjusting for scientific notation, we need to have a coefficient between 1 and 10. So we multiply 0.3 by 10 to get 3 and decrease the exponent by 1, resulting in 3×103. Therefore, the quotient expressed in scientific notation is 3×103, which corresponds to option 2 from the list. The use of approximately is due to the significant figures of the coefficients.