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The absolute value of a number is its distance from zero (0) on a ... When addressed with this you must treat the absolute value brackets as you would ... Your last step once you have a single number inside the absolute value ... value, the distance is the same if you switch the order of the two numbers.

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Q: What must be true about two numbers that have the same absolute value?

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No.They must have the same numeral, but can have opposite signs. So, for example, the numbers 5 and -5 are clearly not the same, but the absolute value of either number is 5.

It is impossible. The absolute value is always positive.

They are the same distance from the origin.

If two numbers have the same absolute value, and the two numbers are not the same number, then the two numbers are negatives of each other. Or you could say that they have the same magnitude, but opposite signs. Example: |-5| = |5| = 5

If 2 numbers are different, but have the same absolute value, then one is the opposite of the other. Any number plus its opposite equals zero.

Example: +94 and -94 .Factoid: The sum of any two numbers with the same absolute value and opposite signs is zero.

The answer depends on the operation. The absolute value of 2/3 is not the same as the absolute value of 3/2! It does work for subtraction, though.

No. The absolute value is the distance a number is from zero. It is always represented by a positive number. The absolute value of any positive number and its negative counterpart is the same.

Other than for the value 0, there are always two numbers that have the same absolute value: the number and the negative of the number, eg 2 and -2 both have the absolute value 2. There is no negative 0, so there is only the number 0 which has the absolute value 0.

No. That is only true for non-negative numbers. The value of a negative number, such as -3 , is negative 3. But its absolute value is 3.

No, they cannot.

Yes, they can. If x is a non-zero rational number then x and -x will have the same absolute value.

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