Let's go through the questions provided in the workbook and solve them one by one.

### **Session (1):**

#### **(1) Working with Whole Numbers**
1. \( 802 - 19 = 783 \)
2. \( 305 + 97 = 402 \)
3. \( 164 + 72 = 236 \)
4. \( 281 - 43 = 238 \)
5. \( 600 - 472 = 128 \)
6. \( 2004 - 474 = 1530 \)
7. \( 7 \times 5 = 35 \)
8. \( 99 \div 11 = 9 \)
9. \( 18 \div 3 = 6 \)
10. \( 42 \div 6 = 7 \)
11. \( 30 \div 2 = 15 \)
12. \( 20 \times 20 = 400 \)
13. \( 56 \div 8 = 7 \)
14. \( 31 \times 300 = 9300 \)
15. \( 14 \times 6 = 84 \)
16. \( 240 \div 20 = 12 \)
17. \( 152 \times 2 = 304 \)
18. \( 222 \times 3 = 666 \)
19. \( 146 \times 4 = 584 \)
20. \( 455 \times 5 = 2275 \)

#### **(2) Working with Integers**
1. \( -9 + 2 = -7 \)
2. \( -2 + (-2) = -4 \)
3. \( -6 + (-11) = -17 \)
4. \( 7 + (-4) = 3 \)
5. \( 3 + (-5) = -2 \)
6. \( 10 - 15 = -5 \)
7. \( 18 - (-6) = 24 \)
8. \( -18 - (-6) = -12 \)
9. \( -9 - (-1) = -8 \)
10. \( -13 + 8 = -5 \)
11. \( -8 + (-9) = -17 \)
12. \( 7 + (-7) = 0 \)
13. \( 2(-2) = -4 \)
14. \( 5(-6) = -30 \)
15. \( -4(-9) = 36 \)
16. \( 35 \div (-5) = -7 \)
17. \( -4 \div (-2) = 2 \)
18. \( -40 \div (-4) = 10 \)
19. \( 16 \div (-4) = -4 \)
20. \( -22 \div (-11) = 2 \)

#### **(3) Working with Fractions**
1. **Find the reciprocal:**
   - \( \frac{1}{2} \) → Reciprocal: \( \frac{2}{1} \)
   - \( \frac{8}{9} \) → Reciprocal: \( \frac{9}{8} \)
   - \( \frac{9}{10} \) → Reciprocal: \( \frac{10}{9} \)
   - \( \frac{1}{3} \) → Reciprocal: \( \frac{3}{1} \)
   - \( \frac{4}{40} \) → Reciprocal: \( \frac{40}{4} \)

2. **Reducing fractions:**
   - \( \frac{20}{45} = \frac{4}{9} \)
   - \( \frac{16}{36} = \frac{4}{9} \)
   - \( \frac{42}{21} = 2 \)
   - \( \frac{18}{16} = \frac{9}{8} \)
   - \( \frac{30}{30} = 1 \)

3. **Adding and subtracting fractions:**
   - \( \frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6} \)
   - \( \frac{1}{2} - \frac{1}{3} = \frac{3}{6} - \frac{2}{6} = \frac{1}{6} \)
   - \( \frac{2}{3} + \frac{3}{4} = \frac{8}{12} + \frac{9}{12} = \frac{17}{12} \

Explore and solve a variety of math problems involving whole numbers, integers, and fractions from a workbook. This detailed solution covers addition, subtraction, multiplication, division, reciprocals, reducing fractions, and more. Suitable for Grades 5-8 students.

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