A Story of Numbers l Exercise 3.6 l Class 8 l NCERT Solutions – Ganita Prakash

NCERT Solutions for Class 8 Maths – Ganita Prakash

Chapter 3: A Story of Numbers

Exercise 3.5

1. Add the following Egyptian numerals

(i) First group:

• 9 symbols of 1000 = 9000
• 6 symbols of 100 = 600
• 8 symbols of 1 = 8
  Total = 9608

Second group:

• 5 symbols of 100 = 500
• 7 symbols of 1 = 7
   Total = 507

Sum = 9608 + 507 = 10115

Final Answer:
= 1 × 10000 + 1 × 100 + 1 × 10 + 5 × 1

(ii) First group:

• 1 symbol of 1000 = 1000
• 8 symbols of 10 = 80
  Total = 1080

Second group:

• 3 symbols of 10 = 30
• 6 symbols of 1 = 6
  Total = 36

Sum = 1080 + 36 = 1116

Final Answer:
= 1 × 1000 + 1 × 100 + 1 × 10 + 6 × 1

2. Add the base-5 numerals

Method (Important Concept):

• In base-5 → 5 units = 1 next place value
• So:
  • 5 triangles → 1 square
  • 5 squares → 1 hexagon
  • 5 hexagons → 1 circle

Steps:

1. Count all symbols from both sides.
2. Add same types together.
3. Regroup wherever 5 same symbols appear.
4. Replace with next higher symbol.

Final Answer:
Write the result after regrouping in correct order (highest to lowest place).