五年级上册数学简便计算30道题及答案

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五年级上册数学简便计算30道题及答案

1、24.6-3.98+5.4-6.02

解析:此题利用加法交换结合律,凑整再计算。步骤如下:

24.6-3.98+5.4-6.02

=(24.6+5.4)-(3.98+6.02)

=30-10

=20

2、27×17/26

解析:此题先用加法分配律,把27转换成(26+1),再利用乘法结合律,使得运算简便。

27×17/26

=(26+1)×17/26

=26×17/26+1×17/26

=17+17/26

=17又17/26

3、528-99

解析:利用凑整法和减法结合律计算,先利用凑整法把99变换为(100-1),再运用a-b-c=a-(b+c)来简便计算,步骤如下:

528-99

=528-(100-1)

=528-100+1

=428+1 =429

4、1.2×2.5+0.8×2.5

解析:运用提取公因数的方法,公式:ac+ab=a(b+c),提取公因数2.5,1.2和0.8相加正好凑整数,使得运算简便。

1.2×2.5+0.8×2.5

=(1.2+0.8)×2.5

=2×2.5

=5

5、2.96×40

解析:此题先利用乘法分配律,把2.96×40转换成29.6x4,再利用乘法结合律来简便计算。

2.96×40

=29.6x4

=(30-0.4)x4

=30×4+0.4×4

=120-1.6

=118.4

6、0.36 x 1.5 - 0.45

解析:此题运用乘法分配律,把0.45转换成1.5 x 0.3 ,即可提取公因数1.5,再根据乘法结合律进行简便计算。

0.36 x 1.5 - 0.45

= 0.36 x 1.5 - 1.5 x 0.3 = 1.5 × (0.36 - 0.3)

= 1.5 × 0.06

= 0.09

7、46×44/45

解析:此题先利用加法分配律把46转换成(45+1),再利用乘法结合律:(a×b)×c=a×(b×c)使得运算简便。

46×44/45

=(45+1)×44/45

=45×44/45+44/45

=44+44/45

=44又44/45

8、1.6×7.5×1.25

解析:此题利用乘法分配律把1.6,转化成2×0.8,再利用乘法结合律:(a×b)×c=a×(b×c)凑整,进行简便计算。

1.6×7.5×1.25

=2×0.8×7.5×1.25

=(2×7.5)×(0.8×1.25)

=15×1

=15

9、0.72×10.1

解析:此题先利用加法分配律,把10.1转换成10+0.1,再利用乘法结合律使得运算简便。 0.72×10.1

=0.72×(10+0.1)

=0.72×10+0.72×0.1

=7.2+0.072

=7.272

1447

0.4×125×25×0.8

=(0.4×25)×(125×0.8)

=10×100

=1000

1.25×(8+10)

=1.25×8+1.25×10

=10+12.5

=22.5

9123-(123+8.8)

=9123-123-8.8

=9000-8.8

=8991.2

1.24×8.3+8.3×1.76

=8.3×(1.24+1.76)

=8.3×3

=24.9 9999×1001

=9999×(1000+1)

=9999×1000+9999×1

=10008999

14.8×6.3-6.3×6.5+8.3×3.7

=(14.8-6.5)×6.3+8.3×3.7

=8.3×6.3+8.3×3.7

8.3×(6.3+3.7)

=8.3×10

=83

1.24+0.78+8.76

=(1.24+8.76)+0.78

=10+0.78

=10.78

933-157-43

=933-(157+43)

=933-200

=733

4821-998

=4821-1000+2

=3823

I32×125×25 =4×8×125×25

=(4×25)×(8×125)

=100×1000

=100000

9048÷268

=(2600+2600+2600+1248)÷26

=2600÷26+2600÷26+2600÷26+1248÷269

=100+100+100+48

=348

2881÷ 43

=(1290+1591)÷ 43

=1290÷43+1591÷43

=30+37

=67

3.2×42.3×3.75-12.5×0.423×16

=3.2×42.3×3.75-1.25×42.3×1.6

=42.3×(3.2×3.75-1.25×1.6)

=42.3×(4×0.8×3.75-1.25×4×0.4)

=42.3×(4×0.4×2×3.75-1.25×4×0.4)

=42.3×(4x0.4x7.5-1.25x4x0.4)

=42.3×[4×0.4×(7.5-1.25)]

=42.3×[4×0.4×6.25] =42.3×(4×2.5)

=4237

1.8+18÷1.5-0.5×0.3

=1.8+12-0.15

=13.8-0.15

=13.65

6.5×8+3.5×8-47

=52+28-47

=80-47

(80-9.8)×5分之2-1.32

=70.2X2/5-1.32

=28.08-1.32

=26.76

8×7分之4÷[1÷(3.2-2.95)]

=8×4/7÷[1÷0.25]

=8×4/7÷4

=8/7

2700×(506-499)÷900

=2700×7÷900

=18900÷900

=21

33.02-(148.4-90.85)÷2.5 =33.02-57.55÷2.5

=33.02-23.02

=10

(1÷1-1)÷5.1

=(1-1)÷5.1

=0÷5.1

=0

18.1+(3-0.299÷0.23)×1

=18.1+1.7×1

=18.1+1.7

=19.8