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Fill in the blank:
The multiplicative property of absolute value is _______.
|a|≥0
|ab|=|a||b|
|ab|≥|a| |b|
Find the positive-definiteness property of absolute value.
|a|=0,a=0
|ab|=|a| |b|
|a+b|≤|a|+|b|
If a<0 then |a|______.
|a|<0
|a|>0
Complete:
The property |a| ≥ 0 is called _______.
Non negative
Symmetric property
idempotent property
Solve -|0(-12)| by using properties of absolute value.
12
0
-12
Find the triangular property of absolute value.
|a+b|≤ |a|+|b|
|a-b|=0 if and only______.
a=b
ab=0
a+b=0
Solve -|-6| by using properties of absolute value.
-6
6
±6
If a≤0 then ______.
It is done.