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Arrange the following numbers in ascending and descending order and fill in the missing integers on number lines.

Mathematics

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Here are the solutions to the problems:

1. Arrange the following numbers in ascending order (smallest to biggest):

a) Given: −2,0,−5,4,3,−1-2, 0, -5, 4, 3, -1

−5,−2,−1,0,3,4\boxed{-5, -2, -1, 0, 3, 4}

b) Given: 16,−2,−35,68,−1016, -2, -35, 68, -10

−35,−10,−2,16,68\boxed{-35, -10, -2, 16, 68}

c) Given: −25,100,−50,75,−100,90,−1000-25, 100, -50, 75, -100, 90, -1000

−1000,−100,−50,−25,75,90,100\boxed{-1000, -100, -50, -25, 75, 90, 100}

d) Given: 37,−13,−45,−24,−19,28,8,11,237, -13, -45, -24, -19, 28, 8, 11, 2

−45,−24,−19,−13,2,8,11,28,37\boxed{-45, -24, -19, -13, 2, 8, 11, 28, 37}

e) Given: 93,−34,−20,21,−44,9,−2,46,5993, -34, -20, 21, -44, 9, -2, 46, 59

−44,−34,−20,−2,9,21,46,59,93\boxed{-44, -34, -20, -2, 9, 21, 46, 59, 93}

2. Arrange the following numbers in descending order (biggest to smallest):

a) Given: −5,−31,21,−51,42,−36,5,39,−41,−71,31,86-5, -31, 21, -51, 42, -36, 5, 39, -41, -71, 31, 86

86,42,39,31,21,5,−5,−31,−36,−41,−51,−71\boxed{86, 42, 39, 31, 21, 5, -5, -31, -36, -41, -51, -71}

b) Given: 33,−54,44,−55,−38,62,51,−32,−73,−66,1833, -54, 44, -55, -38, 62, 51, -32, -73, -66, 18

62,51,44,33,18,−32,−38,−54,−55,−66,−73\boxed{62, 51, 44, 33, 18, -32, -38, -54, -55, -66, -73}

c) Given: −41,−23,−31,40,−21,2-41, -23, -31, 40, -21, 2

40,2,−21,−23,−31,−41\boxed{40, 2, -21, -23, -31, -41}

d) Given: −56,37,23,10,−31,32,31,36-56, 37, 23, 10, -31, 32, 31, 36

37,36,32,31,23,10,−31,−56\boxed{37, 36, 32, 31, 23, 10, -31, -56}

e) Given: 4,−9,17,7,10,−2,−14,−6,−13,9,124, -9, 17, 7, 10, -2, -14, -6, -13, 9, 12

17,12,10,9,7,4,−2,−6,−9,−13,−14\boxed{17, 12, 10, 9, 7, 4, -2, -6, -9, -13, -14}

3. Fill in the missing integers on the number lines below:

a) The number line shows integers from −9-9 to 4. The missing integers to reach 9 are:

5,6,7,8\boxed{5, 6, 7, 8}

b) The number line shows integers from 0 to 4. The missing integers to reach 9 are:

5,6,7,8\boxed{5, 6, 7, 8}

c) The number line shows integers counting by 55s: 0,5,10,15,20,25,30,35,400, 5, 10, 15, 20, 25, 30, 35, 40. All values are already filled in.

4. Mental Maths:

1. 8×9=?8 \times 9 = ?

8×9=728 \times 9 = \boxed{72}

2. (3+4)×6=?(3+4) \times 6 = ?

(3+4)×6=7×6=42(3+4) \times 6 = 7 \times 6 = \boxed{42}

3. 77=?\frac{7}{7} = ?

77=1\frac{7}{7} = \boxed{1}

4. 07=?\frac{0}{7} = ?

07=0\frac{0}{7} = \boxed{0}

5. 683−198=?683 - 198 = ?

683−198=485683 - 198 = \boxed{485}

6. 13×11=?13 \times 11 = ?

13×11=14313 \times 11 = \boxed{143}

7. 2642÷2=?2642 \div 2 = ?

2642÷2=13212642 \div 2 = \boxed{1321}

8. 27=?\sqrt{27} = ?
Assuming this is 273\sqrt[3]{27} for an integer answer:

273=3\sqrt[3]{27} = \boxed{3}

If it is 27\sqrt{27}, then 27=9×3=33\sqrt{27} = \sqrt{9 \times 3} = \boxed{3\sqrt{3}}.

9. 16+9=?\sqrt{16} + 9 = ?

16+9=4+9=13\sqrt{16} + 9 = 4 + 9 = \boxed{13}
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