Express 413₇ to base 5

Correct Answer is : 131151311₅13115

Correct Answer is : 131151311₅13115

Test Index

WAEC Mathematics 2023 Paper

Question : 11

Total: 50

Express

413_{7}

to base 5

Solution:

$413_{7}$ to base 5

convert first to base 10

$417_{7} = 4 \times 7^{2} + 1 \times 7^{1} + 3 \times 7^{0}$

= 4 × 49 + 1 × 7 + 3 × 1

= 196 + 7 + 3

= $206_{10}$

convert this result to base 5

$\therefore 413_{7} = 1311_{5}$

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