内容正文:
第一单元计算专项:小数的连乘运算
知识,点梳理
1.运算顺序:小数连乘属于同级运算,从左往右依次计算;有小括号的要先算小括号里面
的。
2.计算方法:先按整数乘法算出积,再看因数中一共有几位小数,就从积的右边起数出几
位,点上小数点;末尾有0要化简。
3.简便技巧:观察数字特点,可利用乘法交换律、结合律调整顺序,如2.5×0.4=1、
1.25×0.8=1、0.25×4=1°
4.书写要点:脱式计算,一步一步算,等号对齐;算完后检查小数位数。
5.注意:连乘没有括号时不能随意跳步;能简算的要写出简算过程。
启专项练习
考点1:两个一位小数连乘(从左往右依次计算)
(1)2.5×1.2×3.1
(2)1.8×2.2×1.5
(3)3.2×1.4×2.0
(4)4.1×1.3×2.1
(5)2.4×1.5×3.2
(6)1.6×2.3×1.2
第1页共12页
(7)3.5×1.2×2.4
(8)2.1×1.8×1.6
(9)1.9×2.0×3.3
(10)2.8×1.1×2.5
(11)3.3×1.2×1.4
(12)1.5×2.6×1.8
(13)4.2×1.1×1.3
(14)2.2×1.5×2.2
(15)1.7×2.1×1.4
(16)3.6×1.0×2.5
(17)2.3×1.4×1.6
(18)1.4×2.5×1.9
考点2:一位小数×一位小数×两位小数连乘
(1)2.4×1.5×1.25
(2)1.6×2.2×1.04
(3)3.1×1.2×2.12
(4)2.5×1.3×1.16
(5)1.8×1.4×2.05
(6)3.2×1.1×1.33
第2页共12页
(7)2.1×1.5×1.24
(8)1.5×2.3×1.08
(9)2.6×1.2×1.15
(10)1.7×2.0×1.42
(11)3.4×1.1×1.22
(12)2.2×1.3×1.06
(13)1.9×1.5×2.11
(14)2.8×1.0×1.35
(15)1.4×2.4×1.12
(16)3.5×1.2×1.02
(17)2.3×1.1×1.26
(18)1.6×1.5×2.03
考点3:含两位小数的三个小数连乘
(1)1.25×2.04×1.3
(2)2.12×1.1×1.4
(3)1.05×2.2×1.6
(4)1.32×1.2×2.1
(5)2.08×1.5×1.1
(6)1.14×2.3×1.2
第3页共12页
(7)1.45×1.2×1.3
(8)2.21×1.1×1.5
(9)1.06×2.4×1.2
(10)1.34×1.3×2.0
(11)2.15×1.2×1.1
(12)1.18×1.4×1.5
(13)1.22×2.1×1.3
(14)1.51×1.2×1.4
(15)2.03×1.3×1.1
(16)1.16×2.2×1.2
(17)1.44×1.1×1.5
(18)1.09×2.3×1.2
考点4:小数连乘,可运用乘法交换律简便计算
(1)2.5×3.7×0.4
(2)1.25×4.6×0.8
(3)0.25×2.8×4
(4)1.25×0.6×0.8
(5)0.4×5.9×2.5
(6)2.5×0.7×0.4
第4页共12页
(7)0.8×3.2×1.25
(8)4×1.6×0.25
(9)1.25×7.1×0.8
(10)0.25×6.4×4
(11)2.5×0.9×0.4
(12)0.8×1.5×1.25
(13)0.4×2.3×2.5
(14)1.25×2.4×0.8
(15)0.25×3.6×4
(16)2.5×4.4×0.4
(17)0.8×5.5×1.25
(18)4×0.88×0.25
考点5:带小括号的小数连乘
(1)2.4×(1.5×1.2)
(2)1.8×(2.2×1.1)
(3)3.1×(1.4×2.0)】
(4)1.6×(2.5×1.3)
(5)2.2×(1.2×1.5)
(6)3.5×(1.1×1.4
第5页共12页
连ZL并逆9熊
(ST×0T)×bE(8I)
(EIx9I)x8I(LI)
(ZI×SI)×乙(9I)
(ZT×I'T)×E(SI)
(I'T×9z)×bL(I)
(TxZT)xS乙(EI)
(ET×0'Z)×LT(I)
(S'IxvI)×IZ(II)
(I'T×ZT)×Z8(0I)
(T乙×8T)×6T(6)
(9T×0T)×8乙(8)
(ZT×8Z)×ST(L)
参考答案
考点1:两个一位小数连乘
(1)2.5×1.2×3.1=3×3.1=9.3
(2)1.8×2.2×1.5=3.96×1.5=5.94
(3)3.2×1.4×2.0=4.48×2=8.96
(4)4.1×1.3×2.1=5.33×2.1=11.193
(5)2.4×1.5×3.2=3.6×3.2=11.52
(6)1.6×2.3×1.2=3.68×1.2=4.416
(7)3.5×1.2×2.4=4.2×2.4=10.08
(8)2.1×1.8×1.6=3.78×1.6=6.048
(9)1.9×2.0×3.3=3.8×3.3=12.54
(10)2.8×1.1×2.5=3.08×2.5=7.7
(11)3.3×1.2×1.4=3.96×1.4=5.544
(12)1.5×2.6×1.8=3.9×1.8=7.02
(13)4.2×1.1×1.3=4.62×1.3=6.006
(14)2.2×1.5×2.2=3.3×2.2=7.26
(15)1.7×2.1×1.4=3.57×1.4=4.998
(16)3.6×1.0×2.5=3.6×2.5=9
第7页共12页
(17)2.3×1.4×1.6=3.22×1.6=5.152
(18)1.4×2.5×1.9=3.5×1.9=6.65
考点2:一位小数×一位小数×两位小数连乘
(1)2.4×1.5×1.25=3.6×1.25=4.5
(2)1.6×2.2×1.04=3.52×1.04=3.6608
(3)3.1×1.2×2.12=3.72×2.12=7.8864
(4)2.5×1.3×1.16=3.25×1.16=3.77
(5)1.8×1.4×2.05=2.52×2.05=5.166
(6)3.2×1.1×1.33=3.52×1.33=4.6816
(7)2.1×1.5×1.24=3.15×1.24=3.906
(8)1.5×2.3×1.08=3.45×1.08=3.726
(9)2.6×1.2×1.15=3.12×1.15=3.588
(10)1.7×2.0×1.42=3.4×1.42=4.828
(11)3.4×1.1×1.22=3.74×1.22=4.5628
(12)2.2×1.3×1.06=2.86×1.06=3.0316
(13)1.9×1.5×2.11=2.85×2.11=6.0135
(14)2.8×1.0×1.35=2.8×1.35=3.78
(15)1.4×2.4×1.12=3.36×1.12=3.7632
第8页共12页
(16)3.5×1.2×1.02=4.2×1.02=4.284
(17)2.3×1.1×1.26=2.53×1.26=3.1878
(18)1.6×1.5×2.03=2.4×2.03=4.872
考点3:含两位小数的三个小数连乘
(1)1.25×2.04×1.3=2.55×1.3=3.315
(2)2.12×1.1×1.4=2.332×1.4=3.2648
(3)1.05×2.2×1.6=2.31×1.6=3.696
(4)1.32×1.2×2.1=1.584×2.1=3.3264
(5)2.08×1.5×1.1=3.12×1.1=3.432
(6)1.14×2.3×1.2=2.622×1.2=3.1464
(7)1.45×1.2×1.3=1.74×1.3=2.262
(8)2.21×1.1×1.5=2.431×1.5=3.6465
(9)1.06×2.4×1.2=2.544×1.2=3.0528
(10)1.34×1.3×2.0=1.742×2=3.484
(11)2.15×1.2×1.1=2.58×1.1=2.838
(12)1.18×1.4×1.5=1.652×1.5=2.478
(13)1.22×2.1×1.3=2.562×1.3=3.3306
(14)1.51×1.2×1.4=1.812×1.4=2.5368
第9页共12页
(15)2.03×1.3×1.1=2.639×1.1=2.9029
(16)1.16×2.2×1.2=2.552×1.2=3.0624
(17)1.44×1.1×1.5=1.584×1.5=2.376
(18)1.09×2.3×1.2=2.507×1.2=3.0084
考点4:小数连乘,可运用乘法交换律简便计算
(1)2.5×3.7×0.4=2.5×0.4×3.7=1×3.7=3.7
(2)1.25×4.6×0.8=1.25×0.8×4.6=1×4.6=4.6
(3)0.25×2.8×4=0.25×4×2.8=1×2.8=2.8
(4)1.25×0.6×0.8=1.25×0.8×0.6=1×0.6=0.6
(5)0.4×5.9×2.5=0.4×2.5×5.9=1×5.9=5.9
(6)2.5×0.7×0.4=2.5×0.4×0.7=1×0.7=0.7
(7)0.8×3.2×1.25=0.8×1.25×3.2=1×3.2=3.2
(8)4×1.6×0.25=4×0.25×1.6=1×1.6=1.6
(9)1.25×7.1×0.8=1.25×0.8×7.1=1×7.1=7.1
(10)0.25×6.4×4=0.25×4×6.4=1×6.4=6.4
(11)2.5×0.9×0.4=2.5×0.4×0.9=1×0.9=0.9
(12)0.8×1.5×1.25=0.8×1.25×1.5=1×1.5=1.5
(13)0.4×2.3×2.5=0.4×2.5×2.3=1×2.3=2.3
第10页共12页
(14)1.25×2.4×0.8=1.25×0.8×2.4=1×2.4=2.4
(15)0.25×3.6×4=0.25×4×3.6=1×3.6=3.6
(16)2.5×4.4×0.4=2.5×0.4×4.4=1×4.4=4.4
(17)0.8×5.5×1.25=0.8×1.25×5.5=1×5.5=5.5
(18)4×0.88×0.25=4×0.25×0.88=1×0.88=0.88
考点5:带小括号的小数连乘
(1)2.4×(1.5×1.2)=2.4×1.8=4.32
(2)1.8×(2.2×1.1)=1.8×2.42=4.356
(3)3.1×(1.4×2.0)=3.1×2.8=8.68
(4)1.6×(2.5×1.3)=1.6×3.25=5.2
(5)2.2×(1.2×1.5)=2.2×1.8=3.96
(6)3.5×(1.1×1.4)=3.5×1.54=5.39
(7)1.5×(2.3×1.2)=1.5×2.76=4.14
(8)2.8×(1.0×1.6)=2.8×1.6=4.48
(9)1.9×(1.3×2.1)=1.9×2.73=5.187
(10)3.2×(1.2×1.1=3.2×1.32=4.224
(11)2.1×(1.4×1.5)=2.1×2.1=4.41
(12)1.7×(2.0×1.3)=1.7×2.6=4.42
第11页共12页
(13)2.5×(1.2×1.4)=2.5×1.68=4.2
(14)1.4×(2.6×1.1)=1.4×2.86=4.004
(15)3.3×(1.1×1.2)=3.3×1.32=4.356
(16)2.3×(1.5×1.2)=2.3×1.8=4.14
(17)1.8×(1.6×1.3)=1.8×2.08=3.744
(18)3.4×(1.0×1.5)=3.4×1.5=5.1
第12页共12页