The true value of a number refers to its exact, precise representation without any approximation or rounding. In mathematical contexts, this means the actual numerical quantity that a number represents, whether it be an integer, a fraction, or a decimal. It is essential for accurate calculations and comparisons, ensuring clarity in understanding the significance of the number in various applications.
perhapsAnother AnswerThis is not true. Every positive number is equal to its absolute value. Every negative number will be smaller than its absolute value.
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
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.
perhapsAnother AnswerThis is not true. Every positive number is equal to its absolute value. Every negative number will be smaller than its absolute value.
true
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 (that's the whole point of absolute 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
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.
yes
No. You have it backwards . . . . . the absolute value of a negative number is always a positive number.