符号相同的加数在一起
(+16)+(-29)-(-7)-(+11)+(+9)
=(+16)+(-29)+(+7)+(-11)+(+9)
=(+16)+(+7)+(+9)+(-29)+(-11)
=(+32)+(-40)
=-8
使和为整数的加数在一起
(-3.1)-(-4.5)+(+4.4)-(+1.3)+(2.5)
=(-3.1)+(+4.5)+(+4.4)+(-1.3)+(+2.5)
=[(+4.5)+(+2.5)]+[(+4.4)+(-3.1)+(-1.3)]
=(+7)+0
=+7
使分母相同、便于通分的加数在一起
(+1/2)-(+5)+1/3)-(+1/4)+(5又2/3)
=(+1/2)+(-5)+(1/3)+(-1/4)+(5又2/3)
=(-5)+[(+1/2)+(-1/4)]+[(1/3)+(5又2/3)]
=(-5)+(1/4)+(+7)
=9/4
互为相反数的一对数放在一起加
52-45+72-52+45-98
=(52-52)+(45-45)+72-98
=0+0+72-98
=-26
使计算简便
(-2又2/5)-(-4.7)-(+0.5)+(+2.4)+(-3.2)
=(-2.4)+(+4.7)+(-0.5)+(+2.4)+(-3.2)
=[(-2.4)+(+2.4)]+(+4.7)+(+2.4)+(-3.2)
=0+(+7.1)+(-3.2)
=+3.9
已知a、b互为相反数,C是绝对值最小的数,d是负整数中最大的数,侧a+b+c-d=(a+b)+c-d=0+0-(-1)=1
计算
3又1/4 - 5又1/6 - (-1又3/4)- 3又5/6 + 12又3/7 - (-12又4/7)
=3又1/4+(-5又1/6)+(+1又3/4)+(-3又5/6) + 12又3/7+(+12又4/7)
=[3又1/4+(+1又3/4)]+[(-5又1/6)+(-3又5/6)]+[12又3/7+(+12又4/7)]
=5+(-9)+25
=21
(-1/4 - 31/80)+(7/24+9/40)
=(-20/80 - 31/80+18/80)+7/24
=7/24-33/80
=70/240-99/240
=-29/240
397+398+399+603+602+601
=(397+603)+(398+602)+(399+601)
=1000+1000+1000
=3000