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There are 100 math problems and answers in the first volume of Grade One.
1.25×(8+ 10)

= 1.25×8+ 1.25× 10

= 10+ 12.5=22.5

9 123-( 123+8.8)

=9 123- 123-8.8

=9000-8.8

=899 1.2

1.24×8.3+8.3× 1.76

=8.3×( 1.24+ 1.76)

=8.3×3=24.9

9999× 100 1

=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

482 1-998

=482 1- 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

288 1÷ 43

=( 1290+ 159 1)÷ 434

= 1290÷43+ 159 1÷43

=30+37

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×(4x 0.4x 7.5- 1.25 x4 0.4)

=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) × 2/5- 1.32

=70.2X2/5- 1.32

=28.08- 1.32

=26.76

8×7 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

=2 1

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

[- 18]+29+[-52]+60= 19

[-3]+[-2]+[- 1]+0+ 1+2= -3

[-30 1]+ 125+30 1+[-75]= 50

[- 1]+[- 1/2]+3/4+[- 1/4]= - 1

[-7/2]+5/6+[-0.5]+4/5+ 19/6= 1.25

[-26.54]+[-6. 14]+ 18.54+6. 14= -8

1. 125+[- 17/5]+[- 1/8]+[-0.6]= -3

[-98+76+(-87)]*23[56+(-75)-(7)]-(8+4+3)

5+2 1*8/2-6-59

68/2 1-8- 1 1*8+6 1

-2/9-7/9-56

4.6-(-3/4+ 1.6-4-3/4)

1/2+3+5/6-7/ 12

[2/3-4- 1/4*(-0.4)]/ 1/3+2

22+(-4)+(-2)+4*3

-2*8-8* 1/2+8/ 1/8

(2/3+ 1/2)/(- 1/ 12)*(- 12)

(-28)/(-6+4)+(- 1)

2/(-2)+0/7-(-8)*(-2)

( 1/4-5/6+ 1/3+2/3)/ 1/2

18-6/(-3)*(-2)

(5+3/8*8/30/(-2)-3

(-84)/2*(-3)/(-6)

1/2*(-4/ 15)/2/3

-3x+2y-5x-7y

1437×27+27×563 〔75-( 12+ 18)〕÷ 15

2 160÷〔(83-79)× 18〕 280+840÷24×5

325÷ 13×(266-250) 85×(95- 1440÷24)

58870÷( 105+20×2) 1437×27+27×563

8 1432÷( 13×52+78) [37.85-(7.85+6.4)] ×30

156×[( 17.7-7.2)÷3] (947-599)+76×64

36×(9 13-276÷23) [ 192-(54+38)]×67

[(7. 1-5.6)×0.9- 1. 15]÷2.5 8 1432÷( 13×52+78)

5.4÷[2.6×(3.7-2.9)+0.62] (947-599)+76×64 60-(9.5+28.9)]÷0. 18 2.88 1÷0.43-0.24×3.5 20×[(2.44- 1.8)÷0.4+0. 15] 28-(3.4 / kloc-0/.25×2.4) 0.8×〔 15.5-(3.2 1 5.79)〕 (3 1.8 3.2×4)÷5 194-64.8÷ 1.8×0.9 36.72÷4.25×9.9 3.4 16÷(0.0 16×35) 0.8×[( 10-6.76)÷ 1.2]

( 136+64)×(65-345÷23) (6.8-6.8×0.55)÷8.5

0. 12× 4.8÷0. 12×4.8 (58+37)÷(64-9×5)

8 12-700÷(9+3 1× 1 1) (3.2× 1.5+2.5)÷ 1.6

85+ 14×( 14+208÷26) 120-36×4÷ 18+35

(284+ 16)×(5 12-8208÷ 18) 9.72× 1.6- 18.305÷7

4/7÷[ 1/3×(3/5-3/ 10)] (4/5+ 1/4)÷7/3+7/ 10

12.78-0÷( 13.4+ 156.6 ) 37.8 12-700÷(9+3 1× 1 1) ( 136+64)×(65-345÷23) 3.2×( 1.5+2.5)÷ 1.6

85+ 14×( 14+208÷26) (58+37)÷(64-9×5)

(6.8-6.8×0.55)÷8.5 (284+ 16)×(5 12-8208÷ 18)

0. 12× 4.8÷0. 12×4.8 (3.2× 1.5+2.5)÷ 1.6

120-36×4÷ 18+35 10. 15- 10.75×0.4-5.7

5.8×(3.87-0. 13)+4.2×3.74 347+45×2-4 160÷52

32.52-(6+9.728÷3.2)×2.5 87(58+37)÷(64-9×5)

[(7. 1-5.6)×0.9- 1. 15] ÷2.5 (3.2× 1.5+2.5)÷ 1.6

5.4÷[2.6×(3.7-2.9)+0.62] 12×6÷( 12-7.2)-6

3.2×6+( 1.5+2.5)÷ 1.6 (3.2× 1.5+2.5)÷ 1.6

5.8×(3.87-0. 13)+4.2×3.74

33.02-( 148.4-90.85)÷2.5

1)23+(-73)

(2)(-84)+(-49)

(3)7+(-2.04)

(4)4.23+(-7.57)

(5)(-7/3)+(-7/6)

(6)9/4+(-3/2)

(7)3.75+(2.25)+5/4

(8)-3.75+(+5/4)+(- 1.5)

(9)(- 17/4)+(- 10/3)+(+ 13/3)+( 1 1/3)

( 10)(- 1.8)+(+0.2)+(- 1.7)+(0. 1)+(+ 1.8)+(+ 1.4)

( 1 1)(+ 1.3)-(+ 17/7)

( 12)(-2)-(+2/3)

( 13)|(-7.2)-(-6.3)+( 1. 1)|

( 14)|(-5/4)-(-3/4)|-| 1-5/4-|-3/4|)

( 15)(-2/ 199)*(-7/6-3/2+8/3)

( 16)4a)*(-3b)*(5c)* 1/6

1.3/7 × 49/9 - 4/3

2.8/9 × 15/36 + 1/27

3. 12× 5/6 – 2/9 ×3

4.8× 5/4 + 1/4

5.6÷ 3/8 – 3/8 ÷6

6.4/7 × 5/9 + 3/7 × 5/9

7.5/2 -( 3/2 + 4/5 )

8.7/8 + ( 1/8 + 1/9 )

9.9 × 5/6 + 5/6

10.3/4 × 8/9 - 1/3

0. 12χ+ 1.8×0.9=7.2 (9-5χ)×0.3= 1.02 6.4χ-χ=28+4.4

1 1.7 × 5/49 + 3/ 14

12.6 ×( 1/2 + 2/3 )

13.8 × 4/5 + 8 × 1 1/5

14.3 1 × 5/6 – 5/6

15.9/7 - ( 2/7 – 10/2 1 )

16.5/9 × 18 – 14 × 2/7

17.4/5 × 25/ 16 + 2/3 × 3/4

18. 14 × 8/7 – 5/6 × 12/ 15

19. 17/32 – 3/4 × 9/24

20.3 × 2/9 + 1/3

2 1.5/7 × 3/25 + 3/7

22.3/ 14 ×× 2/3 + 1/6

23. 1/5 × 2/3 + 5/6

24.9/22 + 1/ 1 1 ÷ 1/2

25.5/3 × 1 1/5 + 4/3

26.45 × 2/3 + 1/3 × 15

27.7/ 19 + 12/ 19 × 5/6

28. 1/4 + 3/4 ÷ 2/3

29.8/7 × 2 1/ 16 + 1/2

30. 10 1 × 1/5 – 1/5 × 2 1

3 1.50+ 160÷40 (58+370)÷(64-45)

32. 120- 144÷ 18+35

33.347+45×2-4 160÷52

34(58+37)÷(64-9×5)

35.95÷(64-45)

36. 178- 145÷5×6+42 420+580-64×2 1÷28

37.8 12-700÷(9+3 1× 1 1) ( 136+64)×(65-345÷23)

38.85+ 14×( 14+208÷26)

39.(284+ 16)×(5 12-8208÷ 18)

40. 120-36×4÷ 18+35

4 1.(58+37)÷(64-9×5)

42.(6.8-6.8×0.55)÷8.5

43.0. 12× 4.8÷0. 12×4.8

44.(3.2× 1.5+2.5)÷ 1.6 (2)3.2×( 1.5+2.5)÷ 1.6

45.6- 1.6÷4= 5.38+7.85-5.37=

46.7.2÷0.8- 1.2×5= 6- 1. 19×3-0.43=

47.6.5×(4.8- 1.2×4)= 0.68× 1.9+0.32× 1.9

48. 10. 15- 10.75×0.4-5.7

49.5.8×(3.87-0. 13)+4.2×3.74

50.32.52-(6+9.728÷3.2)×2.5

5 1.-5+58+ 13+90+78-(-56)+50

52.-7*2-57/(3

53.(-7)*2/( 1/3)+79/(3+6/4)

54. 123+456+789+98/(-4)

55.369/33-(-54-3 1/ 15.5)

56.39+{3x[42/2x(3x8)]}

57.9x8x7/5x(4+6)

58. 1 1x 22/(4+ 12/2)

59.94+(-60)/ 10

1.

a^3-2b^3+ab(2a-b)

=a^3+2a^2b-2b^3-ab^2

=a^2(a+2b)-b^2(2b+a)

=(a+2b)(a^2-b^2)

=(a+2b)(a+b)(a-b)

2.

(x^2+y^2)^2-4y(x^2+y^2)+4y^2

=(x^2+y^2-2y)^2

3.

(x^2+2x)^2+3(x^2+2x)+x^2+2x+3

=(x^2+2x)^2+4(x^2+2x)+3

=(x^2+2x+3)(x^2+2x+ 1)

=(x^2+2x+3)(x+ 1)^2

4.

(a+ 1)(a+2)+(2a+ 1)(a-2)- 12

=a^2+3a+2+2a^2-3a-2- 12

=3a^2- 12

=3(a+2)(a-2)

5.

x^2(y+z)^2-2xy(x-z)(y+z)+y^2(x-z)^2

=[x(y+z)-y(x-z)]^2

=(xz+yz)^2

=z^2(x+y)^2

6.

3(a+2)^2+28(a+2)-20

=[3(a+2)-2][(a+2)+ 10]

=(3a+4)(a+ 12)

7.

(a+b)^2-(b-c)^2+a^2-c^2

=(a+b)^2-c^2+a^2-(b-c)^2

=(a+b+c)(a+b-c)+(a+b-c)(a-b+c)

=(a+b-c)(a+b+c+a-b+c)

=2(a+b-c)(a+c)

8.

x(x+ 1)(x^2+x- 1)-2

=(x^2+x)(x^2+x- 1)-2

=(x^2+x)^2-(x^2+x)-2

=(x^2+x-2)(x^2+x+ 1)

=(x+2)(x- 1)(x^2+x+ 1)

1.3/7 × 49/9 - 4/3

2.8/9 × 15/36 + 1/27

3. 12× 5/6 – 2/9 ×3

4.8× 5/4 + 1/4

5.6÷ 3/8 – 3/8 ÷6

6.4/7 × 5/9 + 3/7 × 5/9

7.5/2 -( 3/2 + 4/5 )

8.7/8 + ( 1/8 + 1/9 )

9.9 × 5/6 + 5/6

10.3/4 × 8/9 - 1/3

0. 12χ+ 1.8×0.9=7.2 (9-5χ)×0.3= 1.02 6.4χ-χ=28+4.4

1 1.7 × 5/49 + 3/ 14

12.6 ×( 1/2 + 2/3 )

13.8 × 4/5 + 8 × 1 1/5

14.3 1 × 5/6 – 5/6

15.9/7 - ( 2/7 – 10/2 1 )

16.5/9 × 18 – 14 × 2/7

17.4/5 × 25/ 16 + 2/3 × 3/4

18. 14 × 8/7 – 5/6 × 12/ 15

19. 17/32 – 3/4 × 9/24

20.3 × 2/9 + 1/3

2 1.5/7 × 3/25 + 3/7

22.3/ 14 ×× 2/3 + 1/6

23. 1/5 × 2/3 + 5/6

24.9/22 + 1/ 1 1 ÷ 1/2

25.5/3 × 1 1/5 + 4/3

26.45 × 2/3 + 1/3 × 15

27.7/ 19 + 12/ 19 × 5/6

28. 1/4 + 3/4 ÷ 2/3

29.8/7 × 2 1/ 16 + 1/2

30. 10 1 × 1/5 – 1/5 × 2 1

3 1.50+ 160÷40 (58+370)÷(64-45)

32. 120- 144÷ 18+35

33.347+45×2-4 160÷52

34(58+37)÷(64-9×5)

35.95÷(64-45)

36. 178- 145÷5×6+42 420+580-64×2 1÷28

37.8 12-700÷(9+3 1× 1 1) ( 136+64)×(65-345÷23)

38.85+ 14×( 14+208÷26)

39.(284+ 16)×(5 12-8208÷ 18)

40. 120-36×4÷ 18+35

4 1.(58+37)÷(64-9×5)

42.(6.8-6.8×0.55)÷8.5

43.0. 12× 4.8÷0. 12×4.8

44.(3.2× 1.5+2.5)÷ 1.6 (2)3.2×( 1.5+2.5)÷ 1.6

45.6- 1.6÷4= 5.38+7.85-5.37=

46.7.2÷0.8- 1.2×5= 6- 1. 19×3-0.43=

47.6.5×(4.8- 1.2×4)= 0.68× 1.9+0.32× 1.9

48. 10. 15- 10.75×0.4-5.7

49.5.8×(3.87-0. 13)+4.2×3.74

50.32.52-(6+9.728÷3.2)×2.5

5 1.-5+58+ 13+90+78-(-56)+50

52.-7*2-57/(3

53.(-7)*2/( 1/3)+79/(3+6/4)

54. 123+456+789+98/(-4)

55.369/33-(-54-3 1/ 15.5)

56.39+{3x[42/2x(3x8)]}

57.9x8x7/5x(4+6)

58. 1 1x 22/(4+ 12/2)

59.94+(-60)/ 10

1.

a^3-2b^3+ab(2a-b)

=a^3+2a^2b-2b^3-ab^2

=a^2(a+2b)-b^2(2b+a)

=(a+2b)(a^2-b^2)

=(a+2b)(a+b)(a-b)

2.

(x^2+y^2)^2-4y(x^2+y^2)+4y^2

=(x^2+y^2-2y)^2

3.

(x^2+2x)^2+3(x^2+2x)+x^2+2x+3

=(x^2+2x)^2+4(x^2+2x)+3

=(x^2+2x+3)(x^2+2x+ 1)

=(x^2+2x+3)(x+ 1)^2

4.

(a+ 1)(a+2)+(2a+ 1)(a-2)- 12

=a^2+3a+2+2a^2-3a-2- 12

=3a^2- 12

=3(a+2)(a-2)

5.

x^2(y+z)^2-2xy(x-z)(y+z)+y^2(x-z)^2

=[x(y+z)-y(x-z)]^2

=(xz+yz)^2

=z^2(x+y)^2

6.

3(a+2)^2+28(a+2)-20

=[3(a+2)-2][(a+2)+ 10]

=(3a+4)(a+ 12)

7.

(a+b)^2-(b-c)^2+a^2-c^2

=(a+b)^2-c^2+a^2-(b-c)^2

=(a+b+c)(a+b-c)+(a+b-c)(a-b+c)

=(a+b-c)(a+b+c+a-b+c)

=2(a+b-c)(a+c)

8.

x(x+ 1)(x^2+x- 1)-2

=(x^2+x)(x^2+x- 1)-2

=(x^2+x)^2-(x^2+x)-2

=(x^2+x-2)(x^2+x+ 1)

=(x+2)(x- 1)(x^2+x+ 1)