Accuplacer Practice Test

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What is 9x10^-8 in expanded form?

0.000000009
0.0000009
0.000009
0.00009

The correct answer is: 0.000000009

The correct answer is indeed 0.000000009, which is the expanded form of 9 times 10 raised to the power of -8. In scientific notation, the negative exponent indicates that the decimal point needs to move to the left. Specifically, for the expression 9 x 10^-8, you move the decimal point 8 places to the left from the number 9. When you do this, you start with 9 and shift the decimal left 8 times, filling in with zeros as needed. This results in 0.000000009, correctly representing the value in expanded form. Understanding how to manipulate the decimal place according to the value of the exponent is key in working with scientific notation.