Question

Write the following numbers using base 10 and exponents:

Answer 1

(i) 12345₍₁₀₎ =1 × 10⁴ + 2 × 10 ³+ 3 × 10² + 4 × 10¹ + 5 × 10⁰

= 10⁴ + 2 × 10 ³+ 3 ×10² + 4 × 10¹ + 5.

(ii) 1010.0101₍₁₀₎ = 1 × 10 ³+ 0 ×10² + 1 × 10¹ + 0 × 10⁰ + 0 × + 1 × + 0 × + 1 ×

= 10 ³ + 10¹ + +

(iii) 0.1020304₍₁₀₎ = 1 × + 0 × + 2 × + 0 × + 3 × + 0 × + 4 ×

= + 2 × + 3 × + 4 ×