3. 计算下面各题,能简算的要简算。
5.49-2.5×2.1
0.78×102
3.64÷5.2×23.3
9.9×3.6+0.1×3.6
(12.5-2.5)÷0.4
7.95÷4÷0.25
5.49-2.5×2.1
0.78×102
3.64÷5.2×23.3
9.9×3.6+0.1×3.6
(12.5-2.5)÷0.4
7.95÷4÷0.25
答案
5.49-2.5×2.1
=5.49-5.25
=0.24
0.78×102
=0.78×(100+2)
=0.78×100+0.78×2
=78+1.56
=79.56
3.64÷5.2×23.3
=0.7×23.3
=16.31
9.9×3.6+0.1×3.6
=(9.9+0.1)×3.6
=10×3.6
=36
(12.5-2.5)÷0.4
=10÷0.4
=25
7.95÷4÷0.25
=7.95÷(4×0.25)
=7.95÷1
=7.95
=5.49-5.25
=0.24
0.78×102
=0.78×(100+2)
=0.78×100+0.78×2
=78+1.56
=79.56
3.64÷5.2×23.3
=0.7×23.3
=16.31
9.9×3.6+0.1×3.6
=(9.9+0.1)×3.6
=10×3.6
=36
(12.5-2.5)÷0.4
=10÷0.4
=25
7.95÷4÷0.25
=7.95÷(4×0.25)
=7.95÷1
=7.95
4. 解方程。
4x÷3= 1.2
(50-x)÷5= 8.4
x-0.86x= 3.08
6x-1.2= 7.8
(x+1.2)÷3.5= 4
0.4x+6x= 32
4x÷3= 1.2
(50-x)÷5= 8.4
x-0.86x= 3.08
6x-1.2= 7.8
(x+1.2)÷3.5= 4
0.4x+6x= 32
答案
解析:这些题目都是基础的一元一次方程,需要通过移项、合并同类项、除法等操作求解。
答案:
(1)
解:$4x÷3=1.2$,
$4x=1.2×3$,
$4x=3.6$,
$x=3.6÷4$,
$x=0.9$;
(2)
解:$(50-x)÷5=8.4$,
$50-x=8.4×5$,
$50-x=42$,
$x=50-42$,
$x=8$;
(3)
解:$x-0.86x=3.08$,
$0.14x=3.08$,
$x=3.08÷0.14$,
$x=22$;
(4)
解:$6x-1.2=7.8$,
$6x=7.8+1.2$,
$6x=9$,
$x=9÷6$,
$x=1.5$;
(5)
解:$(x+1.2)÷3.5=4$,
$x+1.2=4×3.5$,
$x+1.2=14$,
$x=14-1.2$,
$x=12.8$;
(6)
解:$0.4x+6x=32$,
$6.4x=32$,
$x=32÷6.4$,
$x=5$。
答案:
(1)
解:$4x÷3=1.2$,
$4x=1.2×3$,
$4x=3.6$,
$x=3.6÷4$,
$x=0.9$;
(2)
解:$(50-x)÷5=8.4$,
$50-x=8.4×5$,
$50-x=42$,
$x=50-42$,
$x=8$;
(3)
解:$x-0.86x=3.08$,
$0.14x=3.08$,
$x=3.08÷0.14$,
$x=22$;
(4)
解:$6x-1.2=7.8$,
$6x=7.8+1.2$,
$6x=9$,
$x=9÷6$,
$x=1.5$;
(5)
解:$(x+1.2)÷3.5=4$,
$x+1.2=4×3.5$,
$x+1.2=14$,
$x=14-1.2$,
$x=12.8$;
(6)
解:$0.4x+6x=32$,
$6.4x=32$,
$x=32÷6.4$,
$x=5$。
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