حل تمارين كتاب الرياضيات للصف السادس

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( )

( ) 1:

7 6 42

9 7 63

5 23 16

2: = = 13 13 = 169 2 = 169 10 = 916

3: 2 12 3 8 4 6 1 24

4: = 50 10 500 2 = 3512 2 500 2 = 123500 500 = 247

5: = 6 52 = 15 2 = 52 52 = 256 2 = 15 - 256 = 258 2

1: 3 52 = 753 2 72 24 = 675 2 53 2 = 53 2

2:

3 9 5132

14 6 42 2

26 56 584 2

3: = ( 2 60 ) 10 = 120 10 = 12

4: = = = 58 4 = 17 2 = 12 7 = 42 25:

1:

12 5 30 2

10 8 40 2

27 26 3222 2

2: = ( 2 150 ) 20 = 300 20 = 15

1212113: [ ] = 24 2 = 12 [ ] = 2 = 2 12 = 12 2

4 3 = = 4 = = 3 = 3 4 = 6 2 = 4 3 = 12 2 = 12 6 = 6 2 = = 5 = = 2.5 = 5 2.5= 6.25 22.5 5 4:

5: = 6 3 = 9 2 = 9 12.5 = 112.5

1:

15 27.1

20 62.8

12 37.68

= 1.5 = 1.5 3.14 = 4.71 = 3 = 3 3.14 = 9.42 2:

3: = 2 1.5 = 3

2.5 = 3 3.14 = 9.42

4: = 15.7 3.14 = 5 = 5 2 = 2.5

5: ) = 40 3.14 = 125.6 ) = 600 125.6 = 75360 = 753.6

1:

14 7 49 2153.86 2

10 5 25 278.5 2

6 3 9 228.26 2

2: = 2.5 2 = 1.25 = 3.14 ( 1.25 )2 = 3.14 1.5625 = 4.90625 2

2 3: ( )2 = 12.56 3.14 = 4 2 = 2

4: = 56.52 3.14 = 18 = 18 2 = 9 = 3.14 29 = 3.14 81 = 254.34 2

5: = 6 = 6 2 = 3 = 3.14 23 = 3.14 9 = 28.26 2 = 6 6 = 36 2 = 36 28.26 = 7.74 2

1: = 70 = 70 3.14 = 219.8 = 2.198

2: ) = 157 ) = 157 3.14 = 50 = 50 2 = 25

3: = = 90 = 90 2 = 45 = 3.14 ( 45 )2 = 6358.5 2

2 4 = 4 + 2 = 6 = 6 2 = 3 = 3.14 23 = 28.26 2 = 4 2 = 2 = 3.14 22 = 12.65 2 = 28.26 12.26 = 16 2 = 4 3 = 6 2 = 3.14 21 = 3.14 2 = 6 3.13 = 2.86 2 = 3 = 3 2 = 1.5 = 3.14 ( 1.5 )2 = 7.065 2 = 7.065 2 = 3.5325 2 1 4 3 3 4:

5: = 31.4 4 = 7.85 = 7.85 7.85 = 61.6225 2 = 31.4 3.14 = 10

3 = 10 2 = 5 = 3.14 25 = 3.14 25 = 78.5 2

2 = 2 3.14 = 6.28 = 6.28 2 = 3.14 = 2 2 = 1 = 3.14 ( 2 )2 = 12.56 2 = 12.56 2 = 6.28 2 78.5 > 61.6225

1.5 = 1.5 = 2 1.5 = 3 = 3 3.14 = 9.42 = 9.42 4 = 2.355 = 3.14 ( 1.5 )2 = 7.065 2 = 7.065 4 = 1.76625 26:

4 4 2 4 1: = 4 2 = 4 2 = 4 4 = 16 2 = 4 + 16 = 20 2

3.2 1 1 2.9 3.2 2.9 4 4 4 1 1 0.5 0.5

= 1.5 1.5 = 1.125 2 = 1.5 1.5 = 2.25 2 = 4 1.5 = 6 2 = 3.14 ( 0.5 )2 = 0.785 2 = 2 0.785 =1.57 2 = 1.125 + 2.25 + 6 + 1.57 = 10.945 2 = 1 2.9 = 1.45 2 = 2 1.45 = 2.9 2 = 2.9 3.2 = 9.28 2 = 2.9 + 9.28 = 12.18 2 = 4 4 = 8 2 = 1 0.5 = 0.5 2 = 2 0.5 = 1 2 = 4 1 = 4 2 = 8 + 1+ 4 = 13 20.9 0.9 0.5 1.5 1.5 1.5 1.5 0.5 0.5 4 5 5

( 1 )

1: ) - ) [ ] [ ] [ ] ) [ ] [ ] [ ] ) [ ] [ ] [ ] ) [ ] [ ] [ ] [ ] ) [ ] = 2.4 ) = 2.4 ) = 2.4 2.4 = 5.76 2 ) = 5.76 2

3: = 2 2 = 4 2 = 6 4 = 24 2

( 2 )3:

( 1 )1:

2: ) - - ) [ [ [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] 0 ) 0 ) [ ] = 2.5 [ ] = 1.6 [ ] = 1 ) ) [ ] [ ] [ ] [ ]

3: ( )

4: = 2 ( 20 15 ) = 600 2

15 20 10 = 2 ( 20 10 ) = 400 2 = 2 ( 15 10 ) = 300 2 = 600+ 400+ 300 = 1300 2 = 1300 2 ( 2 )3:

3:

16959

1: 3 3 = 3000 3 0.05 3 = 50 3 4000 3 = 4 3 680.5 3 = 0.6805 3 600 3 = 0.6 3 0.001 3 = 1 3

2: 9.1 3 + 2145.8 3 = 9100 3 + 2145.8 3 = 11.2458 3 59 3 + 4.211 3 + 3000 3 = 0.059 3 + 4.211 3 + 3 3 = 7.27 3

3: 6000 3 = 6 3 3.5 3 > 350 3 9.25 3 > 925 2 570 2 = 0.57 3

4: = 3048.625 1000 = 3048625 3

1: 4000 3 = 0.004 3 85000000000 3 = 85 3 0.003 3 = 3000 3 8 3 = 8000000 3

2: 6792 3 + 3 3 = 0.006792 3 + 3 3 = 3.006792 3 25 3 + 9000000 3 = 25 3 + 0.009 3 = 25.009 3 7 3 2000000 3 = 7000000 3 2000000 = 5000000 3 0.00007 3 6000 3 = 70000 3 6000 3 = 64000 3

3: = 1.5 1000000 = 1500000 3

4: 39.3216 3 932.16 3 9.3216 3 9.3216 932.16

: 5 3 ( 3 ) ( ) ( 3 ) 5 1000 1000 5000000 ( ) ( ) ( 3 ) 5000000 ( ) 10 500000 3333 1000 1000 1000 10 10 10 ( ) ( ) : 5 3 ( 3 ) ( ) ( 3 ) 5 1000 5000 ( ) ( ) ( 3 ) 5000 ( ) 10 10 500000

1: ) ) 3 ) ) ) 3 ) 3 ) ) 3

2: 5 = 5000 3 1 3 = 1000 812 3 = 812 0.5 3 = 3500000 4500 3 = 4.5 450 = 0.45

3: ) 5000 3 7000 4000000 ) 400 4000000 3 40 3

4: ) 125000 1000 = 125 3 ) 1250003 = 125 3 = 125 = 0.125

5: ) 2.7 1000 = 2700 ) 2.7 = 2700 = 2700 3 1: 4 4 4 = 64 3 2.5 2.5 2.5 = 15.625 3 1.8 1.8 1.8 = 5.832 3

2: 2 40 0.4 1

8000 364 30.064 31000 3

3: = 1.2 1.2 1.2 = 1.287 3 = 1728 3

4: ) = 12.5 12.5 12.5 = 1953.125 3 ) = 1953.125 1000 = 1953125 3

5: = = = 3.5 3.5 3.5 = 42.875 3 = 42875 3

6: = = 7 = 7 7 7 = 343 3

1: 7 3 1 = 21 3 8 5 3 = 120 3 12 9 = 108 3

2: = 6 4 3.58 = 85.92 3

3: = 0.25 0.14 0.2 = 0.007 3 = 7000 3

4: ) = 14 12.5 = 175 2 ) = 175 7.5 = 1312.5 3

5: = 12 10 = 120 2 = 960 120 = 8

1: = 8 4 2 = 64 3 = 5.2 5.2 5.2 = 140.608 3 >

2: = 5 5 = 25 2 = 0.25 2 = 200 0.25 = 50 3 = 25 25 = 625 3 = 6.25 2 = 50 6.25 = 8

3: = 7 0.6 = 6.4 = 6.4 6.4 6.4 = 262.144 3

4: = 60 12 = 5 = 5 5 = 25 2 = 5 5 5 = 125 3

5 : = = 4 9 6 = 216 3

2 2 2 2 2 2 2 2 2 2 4 2 4 2 4 2 4 2 4 2 4 2 2 2 2 = 6

6: = 24 6 = 4 = 2 = 2 2 2 = 8 3

1: = 9 5 4 = 180 3 = 180 2 = 90 3

2: = 48000 = 48 3 = 48 4 = 12

3: 1.5 = 1500 = 1500 3 ( 250 2 250 3 ) = 1500 250 = 6

4: = 2 1.5 0.7 = 2.1 3 = 2100 = 2100 50 = 42

5: = 2300 + 1500 = 3800 3 = 3.8 = 54 + 3.8 = 57.8

6: = 30 20 8 = 4800 3 = 30 20 11 = 6600 3 = 6600 4800 = 1800 3

7: = 2 2 1 = 4 3 = 2 6 12 = 144 3 = 144 4 = 36

( 1 )1:

2: 0.53 50 5000 500 3

3: 2700 3 = 2.7 3 4600 3 = 4.6 0.62 3 = 620000 3

4: = 23.2 12 = 278.4 = 2.784

5: = 3.5 3 2 = 21 3 = 1 1 1 = 1 3 = 21 1 = 21

6: = 90000 = 90 3 = 90 5 = 18 2

7: 0.05 3 + 5000 3 = 50000 3 + 5000 3 = 55000 3 0.12 3 + 7000 3 = 0.12 3 + 7 3 = 7.12 3 0.2 3 150 3 = 0.2 3 - 0.15 3 = 0.05 3

8: 60000 3 + 940000 3 = 1 3 500 3 + 500 3 = 1 3 1 3 400 3 = 600 3 80000 3 20000 3 = 0.06 3 2500000 3 1500000 = 1 3

1:

713

2 : 525

25 3253

2: 4 : 2 3 : 4

8 : 104 : 73:

4: ) 3 : 2 )

5: = = 5 : 2 = = 2 : 5 = = 2 : 7

6: = = 1 : 4

1: = = 1 : 3 = = 3 : 1 = = 1 : 4 = = 3 : 4

2: ) = 2 : 3 ) = 2 : 1 ) = 1 : 2

3: = = >

4: ) 3 : 2 ) 1 : 3 ) = 1 : 8

5:

6: = = = = = = [ ] [ ]3 : 1 [ ] [ ] [ ] = 4 [ ] [ ] = 3 [ ] [ ] = [ ]

1:

40 1 = 60 = 2 : 3

2 4000 = 4 = 1 : 2

2500 = 25 75 = 1 : 3

3 = 21 5 21 : 5

4 = 48 4 = 12 : 1

2: 3 = 3 1000 = 3000 = = 2 : 1 3: 30 = 30 100 = 3000 = = 1 : 100

4: 1 = 1 100 = 150 = = 30 : 1

5: = = 5 : 4

1: = =

2: = = 60 = 2 60 =120

3:

3600 4 = 90

420 7 = 60

120 5 = 24

246 6 = 41

4: = = 4 = 15 =30 = 4560 = 75

60120180240300

5: ) = = ) = 36 = 12

1: ) )

2: : ( ) = ( = 2 30 3 20 ) ) ( ) = ) ( )

3:

3 4 9 12 = 3 124 9

3 4 6 10

3 4 6 8 = 3 84 6

12 6 4 2 = 12 26 4

45 15 30 3

4 7 16 49

1 5 7 35 = 1 355 7

4:

7 4 14 8 8 4 14 7 4 7 8 14 4 8 7 14 )

2 4 5 10 2 5 4 10 5 2 10 4 4 2 10 5 ) )

5: = = = = = ( )

X 1: ) ) ) ) ) ) ( ) 6 4 8 3 ( ) 12 8 6 4 0

2: 10 12 15 11 33 39 50 72 36

) = = 8 ) = = 13 ) = = 25

( ) 3 8 = 24 24 ( ) 4 6 = 24 243: ) 4 6 2 12 1 24 ) 4 6 2 12 1 24 ) 3 8 2 12 1 24 ) 3 8 2 12 1 24

1: = 1.5 1000 = 1500 = 1500 200 1300 ) = = 13 : 15 ) = = 2 : 132: = = 5 : 4

3: = = 10 = 30 17 = = 51

4: = = 15 = 4 45 = = 12

5: = = 1 = 20 20 = 20 20 = 400 = 4 400 = 1600

= = 22 = 132 7 = = 42 = 42 2 = 21 7: ) = = 2 = 8 3 = = 12 ) = = 4 = 3 4 = = 6

8: = 3 = 15 50 = = 250

1: 7 85 16 37

2: 30 26 100 1

3:

63

55

9

4: = 100 = = - = = 25

75 50 25 100 5:

: 100 0 : 100 0 : ( ) = 2 = 1 100 = = 501: ) 50 ) 80 ) 52 ) 35

2: ) 46 ) 61 ) 27

3: = 500 15 = 485 = = 97

4: = 60 6 = 56 = 93

5: = 81 = = 80

( 1 )1: 100 90 15

100 = 30 90 = 27 15 = 4.5

100 30 = 70 90 27 = 63 15 4.5 = 10.5

2: = 60 = 4500 100 = = 7500 = 7500 2

3: ) = 6000 = 2700 ) = 6000 2700 = 2300

( 2 )1: = 30 18 = 12 = 30 = 12 100 = = 40 = 40

2: = 80000 = 4000 = 80000 + 4000 = 84000

3: = 200 = 50 100= = 25 = 25 = 200 + 50 = 250 = 250 = 15 100 = = 6 = 6

1: ) = 1250 -1000 = 250 = 1000 = 250 100 = = 25 = 25 ) = 56300 47855 = 8445 = 56300 = 100 8445 = = 15 = 15) = 45360 43200 = 2160 = 43200 = 100 2160 = = 5 = 5

2: = 20 = 100 420 = =2100 = 2100

3: = 65 150 = 9750 = 9750 8125 = 1625 = 8125 = 1625 100 = = 20 = 20

4:

18000040 21600

27000060 32400

450000100 54000

1:

50005000 = 125

5000050000 = 1250

10000001000000 = 25000

480096480096 = 12002.4

2: = 1 = 600 40 = 24000 = 24000

3: = 80000 = 10000 = 80000 10000 = 70000 70000 4 = 17500 = 17500 2 = 8750

4: = 1000000 200000 = 800000 = 800000 = 200000 = 800000 200000 = 600000

50 25 15 50 1: ) )

)

40 = 2040 = 1040 = 640 = 440

2: ) ) 24 = 6 )

24 = 624 = 324 = 924 = 624

10 40 10 25 25

3: ) ) )

5000 = 12505000 = 5005000 = 20005000 = 7505000 = 5005000

1: ) ) )

527522525526533524522

2: ) ) ) ) 80 )

71010252880

4235363738394041 1:

39

38

37

37

3 4 16246810121418 2:

3

8

12

3 14

4 17

( 2 )1: - - -

2: = 100 - 25 = 75 = 75 = 60 100 = = 80 = 80

3: = 5200 = 130

3 4 16246810121418 4: 3 4 16246810121418

1009075506055

85955055606570758090100