What is the relationship between the sum of absolute values of two numbers and the absolute value of the sum of two numbers

What is the relationship between the sum of absolute values of two numbers and the absolute value of the sum of two numbers


When two numbers have the same sign or both numbers are zero, the sum of absolute values of two numbers is equal to the sum of absolute values of two numbers
When two numbers are different, the sum of the absolute values of two numbers is greater than the absolute value of the sum of two numbers



What is the relationship between the absolute value of a number and 0


The absolute value of a number ≥ 0



What is the relationship between the absolute value of a number and the number itself or its opposite number? An example is given to illustrate


If the number is positive, the absolute value of the number is itself
The absolute value of 5 is 5, and its opposite number is - 5
If the number is negative, the absolute value of the number is its opposite
For example, the absolute value of - 5 is 5, and its opposite number is 5



Add two good numbers, remove the sign, and add the absolute values of the two numbers


Add two numbers of the same sign, keep the original sign, and add the absolute value of two numbers



The correct one in the following statement is ()
A. Add two numbers with the same sign, and add the absolute value. B. add two numbers with different signs, and take the sign of the larger number. C. add two numbers with different signs, and take the sign of the larger number with absolute value, and subtract the smaller number from the larger number. D. add two numbers with the same sign, and take the same sign, and add the absolute value


Add two numbers with the same sign, take the same sign, and add the absolute value; add two numbers with different signs, take the agreement of the larger absolute value, and subtract the smaller absolute value from the larger absolute value



Write the following expressions without brackets and absolute sign
1. (negative two and one third) - three and one half + (negative five and one sixth) - (negative one third)=
2.(-8)-(+9)+(-3)-(-4)=
3. [- (- 3)] - | negative third and one third + (negative third and one third) - [- (- 4]=


1. (negative two and one third) - three and one half + (negative five and one sixth) - (negative one third) = - 2 and 1 / 3-2 and 1 / 3-5 and 1 / 6 + 1 / 3 = - 2 and 1 / 3 + 1 / 3 = - 2 and 1 / 3-2 and 2 / 3-2 and 2 / 6 = - 2-7 and 1 / 2 = - 9 and 1 / 22



Does absolute value sign have the function of bracket
For example, 1 - | x + 2 | x is always positive
So 1-x + 2 = - x + 3
Or 1-x-2 = - X-1
Well?


It's 1-x-2 = - X-1
The absolute value sign has the function of bracket



Multiple sign reduction of opposite numbers
Ask for answers to these questions
+[- (- 10)] - (+ 10.1) + (+ 7) that's all. Thank you


Ask for answers to these questions
+[-(-10)]=10
-(+10.1)=-10.1
+(+7)=7



Given that B < 0 < a < C (and a and B are opposite numbers), we simplify - [2B] + [A-B] + [B-C] + [a + C]. [] as absolute sign


Original formula = 2B + A-B + C-B + A + C = 2A + 2C



Simplified symbols
+(+3)
+(-3)
-(-2/5)
-(+1/2)
-[-(-5)]
-【-(+1)】


3
-3
2/5
-1/2
-5
one
Negative is positive