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In this case, the number that has the lower absolute value is actually greater. That is, you can compare the numbers without the signs, and see which of them is less. That number (with the sign included) is greater.

Example: compare -4 and -2. Since 2 is less than 4, it follows that -2 is more than -4. If you have trouble understanding why this is so, visualize the numbers on a number line. Assuming the number line is in standard position (positive to the right, negative to the left), a number that is further to the right than another number is greater.

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Q: How do you decide which of two numbers is greater when both numbrs are negative?
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