422₅ - 143₅ = 224₅
We convert each number to base 10.
So 422₅ = 4 × 5² + 2 × 5¹ + 2 × 5⁰
= 4 × 25 + 2 × 5 + 2 × 1
= 100 + 10 + 2
= 112₁₀
143₅ = 1 × 5² + 4 × 5¹ + 3 × 5⁰
= 1 × 25 + 4 × 5 + 3 × 1
= 25 + 20 + 3
= 48₁₀
So 422₅ - 143₅ = 112₁₀ - 48₁₀ = 64₁₀
We now convert 64₁₀ to base 5
64 ÷ 5 = 12 r 4,
12 ÷ 5 = 2 r 2
2 ÷ 5 = 0 r 2
Counting upwards,
So, 65₁₀ = 224₅
So, 422₅ - 143₅ = 224₅
Learn more about number bases here:
https://brainly.com/question/18653770
