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Calculation of 60 Equation Problems and 120 Simple Calculation Problems in Grade Four of Beijing Normal University Edition (Difficult) 40.
Best answer

125÷(50÷8)

= 125÷50×8

= 125×8÷50

= 1000÷50

=20

7.2× 1.02

=7.2×( 1+0.02)

=7.2× 1+7.2×0.02

=7.2+0. 144

=7.344

9 9/ 16÷9

=(9+9/ 16)÷9

=9÷9+9/ 16÷9

= 1+ 1/ 16

= 17/ 16

(90+ 1/88)× 1/89

=(90×88+ 1)/88× 1/89

=[(89+ 1)×(89- 1)+ 1]/88× 1/89

=[89^2- 1^2+ 1]/88× 1/89

=89^2/88× 1/89

=89/88

( 1/3- 1/4)+( 1/4- 1/5)+( 1/5- 1/6)

= 1/3- 1/4+ 1/4- 1/5+ 1/5- 1/6

= 1/3- 1/6

= 1

7.6× 1/2÷[ 1.9- 1.9×( 1.9- 1.9)]

=7.6× 1/2÷( 1.9-0)

=3.8÷ 1.9

=2

1 and 1/6× 1/7× 1 and/8×1and 1/9× 1.

=7/6×8/7×9/8× 10/9× 1 1/ 10

= 1 1/6

3.26×[ 1÷( 1/ 10-9/ 100)]

=3.26×[ 1÷( 10/ 100-9/ 100)]

=3.26×( 1÷ 1/ 100)

=3.26× 100

=326

(2.5+2.5+2.5+2.5)×25×8

=(2.5×4)×25×4×2

= 10× 100×2

=2000

(6.9×0. 125× 1.75)÷(2.3× 1/8× 1/4)

=6.9×0. 125× 1.75÷2.3÷ 1/8÷ 1/4

=6.9÷2.3×0. 125×8× 1.75×4

=3× 1×7

=2 1

[5-(0.5×9 and1/2+1/2×1/2)] > 8/21

=[5-( 1/2× 19/2+ 1/2× 1/2)]×2 1/8

=[5- 1/2×( 19/2+ 1/2)]×2 1/8

=(5- 1/2× 10)×2 1/8

=(5-5)×2 1/8

=0

(12 and 13/25+7 and 8/ 17)×2.5+(9 and 9/ 17+ 10 and/2/25) 2 and/

= (12 and 13/25+7 and 8/ 17)×2.5+(9 and 9/ 17+ 10 and12/25 )×

= ( 12 13/25+7 8/ 17+9 9/ 17+ 10 12/25)×2.5

=(23+ 17)×2.5

=40×2.5

= 100

1 2/3×[7 5/6+(4. 125-4 1/8)-4 5/6]

= 5/3× [7 5/6-4 5/6+(4 1/8-4 1/8)]

=5/3×(3+0)

=5

8 17/23+5 1/4-6 17/23+0.75.

= (8 17/23-6 17/23)+(5.25+0.75)

=2+6

=8

(5 5/9-0.8+2 4/9)× 12.5

= (5 5/9+2 4/9-0.8)× 12.5

=(8-0.8)× 12.5

=8× 12.5-0.8× 12.5

= 100- 10

=90

2.25×3/7×0.4×2 and 1/3

=2.25×0.4×3/7×7/3

=0.9× 1

=0.9

0.9 1÷4/5+ 1.25× 1.09

=0.9 1×5/4+5/4× 1.09

=5/4×(0.9 1+ 1.09)

=5/4×2

=2.5

9 2000/200 1× 1949

=( 10- 1/200 1)× 1949

= 10× 1949- 1/200 1× 1949

= 19490- 1949/200 1

= 10489+( 1- 1949/200 1)

= 10489+52/200 1

= 10489 and 52/200 1

24×5 1/43+5 1× 19/43

=24×5 1/43+ 19×5 1/43

=(24+ 19)×5 1/43

=43×5 1/43

=5 1

13.76-(7/12+1.76+1and 5/ 12)

=13.76-[1.76+(7/12+1and 5/ 12)]

= 13.76- 1.76-2

= 12-2

= 10

19.98×37- 199.8× 1.9+ 1998×0.82

= 199.8×3.7- 199.8× 1.9+ 199.8×8.2

= 199.8×(3.7- 1.9+8.2)

= 199.8× 10

= 1998

0.32×6.7+3.2×0.43-0.32

=3.2×0.67+3.2×0.43-3.2×0. 1

=3.2×(0.67+0.43-0. 1)

=3.2× 1

=3.2

2.5× 12.5×32-32-563

=2.5× 12.5×4×8-(32+563)

=(2.5×4)×( 12.5×8)-595

= 10× 100-595

= 1000-595

=405

9 3/4- 15/ 19-2/ 19× 2

= 9 3/4-( 15/ 19+4/ 19)

= 9 3/4- 1

= 8 3/4

(2/3+ 1/5)+(2/3- 12/ 17)-( 1/5+5/ 17)

=2/3+ 1/5+2/3- 12/ 17- 1/5-5/ 17

=(2/3+2/3)+( 1/5- 1/5)-( 12/ 17+5/ 17)

=4/3+0- 1

= 1/3

(4/9+5/ 13+5/9+8/ 13)×( 1-9 1/ 100)

=[(4/9+5/9)+(5/ 13+8/ 13)]×9/ 100

=( 1+ 1)×9/ 100

=9/50

[(1/4-1/4 ÷ 2) × 8/13+1÷ 6 and 1/2]÷0.0 1

=[( 1/4- 1/8)×8/ 13+ 1×2/ 13]× 100

=( 1/8×8/ 13+2/ 13)× 100

=3/ 13× 100

=300/ 13

(3+3/4÷3/4+3)-(7× 1/6÷7× 1/6)

=(3+ 1+3)-( 1/6× 1/6)

=7- 1/36

= 6 35/36

5-[ 1 and 1/3-(2.5- 1 and 2/3)] 0. 125

= 5-( 1 and 1/3+ 1 and 2/3-2.5) × 8

=5-(3-0.5)×8

=5-0.5×8

=5-4

= 1

14.8×6.3+46.5×4.5+8.3×3.7+0.465×550-6.3×6.5

= 14.8×6.3-6.3×6.5+46.5×4.5+46.5×5.5+8.3×3.7

=6.3×( 14.8-6.5)+46.5×(4.5+5.5)+(8+0.3)×3.7

=6.3×8+46.5× 10+8×3.7+0.3×3.7

=8×(6.3+3.7)+465+ 1. 1 1

=80+466. 1 1

=546. 1 1

(78.6-0.786×25+0.75×2 1.4)÷ 15×200 1

=(78.6-78.6×0.25+0.75×2 1.4)÷ 15×200 1

=[78.6×( 1-0.25)+0.75×2 1.4)÷ 15×200 1

=(78.6×0.75+0.75×2 1.4)÷ 15×200 1

=0.75×(78.6+2 1.4)÷ 15×200 1

=0.75× 100÷ 15×200 1

=75÷ 15×200 1

=5×200 1

= 10005

(49/90× 7/20+1.65× 49/90-49/90) ÷ [2 and 14/ 15-(4-2 and14//.

= 49/90× (0.35+ 1.65- 1) ÷ (2 14/ 15+2 14/ 15-4)

= 49/90× 1 \( 4 and 28/ 15-4)

=49/90× 15/28

=7/24

(1 and11998× 8.12+5 and 3 1/75÷2/3×8 and1997//kloc-0.

= (1 and11998× 8 and12/100+406/75× 3/2× 8 and1997//kloc-)

= (1 and11998× 203/25+203/25× 8 and 1997/ 1998)÷4 and1

= 203/25× (1 and11998+8 and 1997/ 1998)÷4 and1.

=203/25× 10÷203/48

= 10/25×48

=96/5

2÷(2 2/9×4/5+2 2/9×6.2-5.8×2 2/9)×9/20

= 2 ÷ [2 2/9×(4/5+6.2-5.8)]×9/20

=2÷(20/9× 1.2)×9/20

=2×3/8×9/20

=27/80

1 and 2/3-[(3.62×2/ 15+6.38÷7 and1/2) ×1.82-1and1/.

= 1 and 2/3-[(3.62× 2/15+6.38× 2/15) ×1.82-1and1/3.

= 1 and 2/3-[2/15× (3.62+6.38 )×1.82-4/3× 0.82]

=5/3-[2/ 15× 10× 1.82-4/3×0.82]

=5/3-4/3×( 1.82-0.82)

=5/3-4/3

= 1/3

12÷(6 7/ 10×0.8+6 7/ 10×6 1/2-4/5×6 7/ 10+2 1/3×

= 12 ÷ [6 7/ 10× (0.8+ 13/2-0.8+7/3)]

= 12÷[67/ 10×53/6]

= 12÷[(60+7)×(60-7)/60]

= 12÷[(3600-49)/60]

=720/355 1

38× 1 and11999+8 and1998/and118/35438.

= 38× 1 and11999+8 and1998/1999×19/18× 36.

= 38× (1 and11999+8 and 1998/ 1999).

=38× 10

=380

9.75+99.75+999.75+9999.75

= 10-0.25+ 100-0.25+ 1000-0.25+ 10000-0.25

=( 10+ 100+ 1000+ 10000)-0.25×4

= 1 1 1 10- 1

= 1 1 109

1/200 1+2/200 1+3/200 1+4/200 1+…+200 1/200 1

=( 1+2+3+...+200 1)/200 1

=[( 1+200 1)×200 1÷2]/200 1

= 100 1×200 1/200 1

= 100 1

10 10 1/ 13 13 13×9 1

= 10 10 1/( 13× 10 10 1)×(7× 13)

=7

1 12 and 14/23÷37

=( 1 12+ 14/23)÷37

=( 14×8+ 14× 1/23)÷37

= 14× 8 and 1/23÷37

= 14× 185× 1/37

= 14×5

=70

125×25×3232×69

= 125×25×(4×8× 10 1)×69

=( 125×8)×(25×4)×( 10 1×69)

= 1000× 100×6969

=696900000

3333×3333+9999×8889

= 1 1 1 1×3×3333+9999×8889

= 1 1 1 1×9999+9999×8889

=9999×( 1 1 1 1+8889)

=9999× 10000

=99990000

9999×7+ 1 1 1 1×37

= 1 1 1 1×9×7+ 1 1 1 1×37

= 1 1 1 1×(63+37)

= 1 1 1 1× 100

= 1 1 1 100

999×778+333×666

=999×778+333×3×222

=999×(778+222)

=999× 1000

=999000

200 1200 1÷ 1997 1997

=200 1× 1000 1÷( 1997× 1000 1)

=200 1÷ 1997

=200 1/ 1997

20022002÷200 1200 1

=2002× 1000 1÷(200 1× 1000 1)

=2002÷200 1

=2002/200 1

97×2000-96×200 1

=97×(200 1- 1)-96×200 1

=97×200 1-97-96×200 1

=(97-96)×200 1-97

=200 1-97

= 1904

1989× 1999- 1988×2000

= 1989×(2000- 1)- 1988×2000

= 1989×2000- 1989- 1988×2000

=( 1989- 1988)×2000- 1989

=2000- 1989

= 1 1

5/2 1×2/7+2 and19/2/kloc-0 /× 5/7+(1-2/7)

= 5/7× 2/2 1+2 and 19/2 1× 5/7+5/7.

= 5/7× (2/2 1+2 and 19/2 1+ 1)

=5/7×4

=20/7

1- 1/2- 1/4- 1/8-…- 1/ 128

= 1/2- 1/4- 1/8-...- 1/ 128

= 1/4- 1/8-...- 1/ 128

= 1/8-...- 1/ 128