Answer :
Let's tackle these problems step by step:
15. Write the fraction for:
a) For 2 shaded parts out of 4 total parts, the fraction is [tex]\frac{2}{4}[/tex]. This fraction can be simplified to [tex]\frac{1}{2}[/tex].
b) For 1 shaded part out of 3 total parts, the fraction is [tex]\frac{1}{3}[/tex].
16. Find the perimeter of a square with side 6 cm.
The perimeter of a square is calculated by adding up all its sides. Since all sides of a square are equal, you multiply the length of one side by 4.
[tex]\text{Perimeter} = 4 \times \text{side} = 4 \times 6 = 24 \text{ cm}[/tex]
17. This is the number of books read by students in a week:
a) Rohan read the most books, with a total of 5 books.
b) To find the total number of books read, add the books read by all students:
[tex]3 + 5 + 2 = 10 \text{ books}[/tex]
18. Add the following numbers:
a) [tex]123 + 234 = 357[/tex]
b) [tex]56 + 78 = 134[/tex]
c) [tex]189 + 111 = 300[/tex]
19. Solve the following:
a) [tex]8 \times 3 = 24[/tex]
b) [tex]5 \times 2 = 10[/tex]
c) [tex]9 \times 4 = 36[/tex]
d) [tex]6 \times 7 = 42[/tex]
20. Fill in the blanks:
a) A shape with no corners and no sides is called a circle.
b) A shape with 4 equal sides is called a square.
c) A shape with 3 corners and 3 sides is called a triangle.
21. Find the area of a rectangle:
The area of a rectangle is calculated by multiplying its length and breadth:
[tex]\text{Area} = \text{Length} \times \text{Breadth} = 8 \times 3 = 24 \text{ cm}^2[/tex]
22. Solve the following:
a) The place value of 7 in 72 is the tens place, so it is [tex]70[/tex].
b) The place value of 5 in 54 is the tens place, so it is [tex]50[/tex].
c) The place value of 9 in 91 is the tens place, so it is [tex]90[/tex].
d) The place value of 3 in 38 is the tens place, so it is [tex]30[/tex].
I hope these explanations help you understand each concept better! Feel free to ask if you have any more questions or need further clarification.