How to order decimals from least to greatest or from greatest to least - GRE Quantitative Reasoning

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Question

Put these decimals in order from least to greatest:

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Answer

To put these numbers in order from least to greatest we start by looking at the number before the decimal. In this case they're all the same (7) so we move to the first number to the right of the decimal. Since 8 is greater than 3 we know that 7.8 and 7.835 must be greater than the other two options. To decide if 7.8 or 7.835 is greater we look at the next number to the right. Since 7.8 doesn't have another number to the right we know that the number to the right must be 0. Since 3 is greater than 0 we know that 7.835 is greater than 7.8. We follow the same process to find that 7.35 is less than 7.358. Then we can put the numbers in order from least to greatest: 7.35, 7.358, 7.8, 7.835.

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