Question

Which statement is correct?

A) 2.06x10⁻²)(1.88x10⁻¹) 7.69x10⁻²/2.3x10⁻⁵)
B) (2.06x10⁻²)(1.88x10⁻¹) 7.69x10⁻²/2.3x10⁻⁵ )
C) (2.06x10⁻²)(1.88x10⁻¹)7.69x10⁻²/ 2.3x10⁻⁵)
D) (2.06x10⁻²)(1.88x10⁻¹)= 7.69x10⁻²/ 2.3x10⁻⁵)

Answer 1

The correct answer is not listed among the options provided by the student. When using scientific notation, multiplication involves multiplying coefficients and adding exponents, while division involves dividing coefficients and subtracting exponents.

Step-by-step explanation:

The student is asking how to multiply and divide numbers in scientific notation. While options A, B, and C are fragments of expressions, option D shows a complete equation. To multiply numbers in scientific notation, you multiply the coefficients and add the exponents. To divide, you divide the coefficients and subtract the exponents. So, (2.06 x 10⁻²) x (1.88 x 10⁻¹) = 3.8728 x 10⁻³ and 7.69 x 10⁻² / 2.3 x 10⁻µ = 3.34 x 10⁻⁴. None of the options portrayed are correct as they do not have the right coefficients or exponents after performing the multiplication and division operations.