已知|a|=2,|b|=3,求a+b的值.
解:∵|a|=2,|b|=3.
∴a=±2,b=±3.
①当a=2,b=3时,a+b=2+3=5;
②当a=2,b=﹣3时,a+b=2﹣3=﹣1;
③当a=﹣2,b=3时,a+b=﹣2+3=1;
④当a=﹣2,b=﹣3时,a+b=﹣2﹣3=﹣5.