问题
选择题
若|a|=5,|b|=3,则|a-b|等于( )
A.2
B.8
C.2或8
D.±2或±8
答案
∵|a|=5,|b|=3
∴a=±5,b=±3
①当a=5,b=3时,|a-b|=|5-3|=2;
②当a=5,b=-3时,|a-b|=|5-(-3)|=8;
③当a=-5,b=3时,|a-b|=|-5-3|=8;
④当a=-5,b=-3时,|a-b|=|-5-(-3)|=2.
故选C.
若|a|=5,|b|=3,则|a-b|等于( )
A.2
B.8
C.2或8
D.±2或±8
∵|a|=5,|b|=3
∴a=±5,b=±3
①当a=5,b=3时,|a-b|=|5-3|=2;
②当a=5,b=-3时,|a-b|=|5-(-3)|=8;
③当a=-5,b=3时,|a-b|=|-5-3|=8;
④当a=-5,b=-3时,|a-b|=|-5-(-3)|=2.
故选C.