Q: What does true value of a number means?

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No, it is not true that no negative number is less than its absolute value. In fact, all negative numbers are less than their absolute value. The absolute value of a negative number is always positive.

True

A percentage error is 100*(measurement - true value)/true valueThe percentage error is negative if the measured (or calculated) value is smaller that the true value.

true

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No, it is not true that no negative number is less than its absolute value. In fact, all negative numbers are less than their absolute value. The absolute value of a negative number is always positive.

true

True

true (that's the whole point of absolute value)

A percentage error is 100*(measurement - true value)/true valueThe percentage error is negative if the measured (or calculated) value is smaller that the true value.

value of the number and distance from 0

It is true. Look at absolute value as a number's distance from zero, and distance can't be negative. Take, say, -7. -7 is 7 away from 0, so the absolute value of -7 is 7.

True.

true

yes

If an expression is true "for no value" of x, it means that there is no value you can substitute for x to make it true. For example, x=x+1 is true for no value of x, because x is always strictly less than x+1.

No. You have it backwards . . . . . the absolute value of a negative number is always a positive number.