Accuplacer Practice Test

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Express 1.819x10^-9 in expanded form:

0.000000001819
0.00000001819
0.000001819
0.000000000819

The correct answer is: 0.000000001819

To express the number 1.819 x 10^-9 in expanded form, you need to understand what the exponent indicates. The notation 10^-9 means you move the decimal point in the number 1.819 nine places to the left. Starting with 1.819: - Moving the decimal point one place to the left gives you 0.1819. - Moving it again, you get 0.01819. - Continuing this way, after nine moves to the left, you will arrive at 0.000000001819. This representation confirms that the correct expanded form of 1.819 x 10^-9 is indeed 0.000000001819. The context here shows that the other options present numbers that are either too large or incorrectly positioned in relation to the decimal point, leading to values that do not accurately represent the original scientific notation.