rules of absolute value

rules of absolute value

1-first law.

It can easily be shown that the absolute value of the sum | a + b |is equal to the sum of the absolute values of the parts, | a | +|b |,only if the parts have the same sign; otherwise, it will be less, so that we have:

For example, the absolute value of the sum of the numbers (+3) and (-7) is equal to four, but the sum of the absolute values of the parts is equal to ten. Similarly, it can be shown that

2-second law.

The absolute value of the product of any number of factors is equal to the product of the absolute values of these factors, and the absolute value of a quotient is equal to the quotient of the absolute values of numerator and denominator, i.e.:

the source:

A COURSE OF Higher Mathematics VOLUME I. SMIRNOV.

By: Fady tarek