High School Placement Test (HSPT) Practice Test

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How is 0.00000435 expressed in scientific notation?

4.35 × 10^-6
4.35 × 10^6
43.5 × 10^-8
4.35 × 10^2

The correct answer is: 4.35 × 10^-6

To express a number in scientific notation, we start by identifying a way to rewrite it as a product of a number between 1 and 10 and a power of 10. For the number 0.00000435, we can first note its significant figures. The significant digits of this number are 4.35. To convert 0.00000435 into scientific notation, we need to move the decimal point to the right until we have a number between 1 and 10. In this case, moving the decimal point 6 places to the right converts 0.00000435 into 4.35. Since we moved the decimal to the right, we express this with a negative exponent: 10 to the power of -6. Thus, 0.00000435 is correctly expressed in scientific notation as 4.35 × 10^-6. This format adheres to the conventions of scientific notation, making it clear and standard for scientific communication.