The question in the image asks which student got the largest and smallest number when given cards with numbers in different bases. The bases for each student are as follows:

• Rozita: 241 in base 5.
• Aishah: 111100₂ (binary or base 2).
• Helmy: 110₂ (binary or base 2).
• Osman: 68₁₀ (decimal or base 10).
• Maznah: 114₈ (octal or base 8).

To solve this, we need to convert all these numbers to base 10 (decimal):

1. Rozita: 241₅ = $2 \times 5^2 + 4 \times 5^1 + 1 \times 5^0 = 2 \times 25 + 4 \times 5 + 1 \times 1 = 50 + 20 + 1 = 71₁₀$
2. Aishah: 111100₂ = $1 \times 2^5 + 1 \times 2^4 + 1 \times 2^3 + 1 \times 2^2 + 0 \times 2^1 + 0 \times 2^0 = 32 + 16 + 8 + 4 = 60₁₀$
3. Helmy: 110₂ = $1 \times 2^2 + 1 \times 2^1 + 0 \times 2^0 = 4 + 2 = 6₁₀$
4. Osman: 68₁₀ is already in base 10.
5. Maznah: 114₈ = $1 \times 8^2 + 1 \times 8^1 + 4 \times 8^0 = 1 \times 64 + 1 \times 8 + 4 = 64 + 8 + 4 = 76₁₀$

Comparing the values:

• Rozita: 71
• Aishah: 60
• Helmy: 6
• Osman: 68
• Maznah: 76

The largest value is Maznah (76) and the smallest value is Helmy (6).

Thus, the answer is:

• Largest value: Maznah.
• Smallest value: Helmy.

Would you like more details on the base conversions or have any other questions?

Here are 5 related questions for further practice:

1. Convert 132₄ to base 10.
2. What is the base 10 equivalent of 10011₂?
3. How do you convert decimal numbers to base 8 (octal)?
4. Which is larger: 101010₂ or 52₁₀?
5. How do you determine the base from a given number?

Tip: Always ensure you break down powers systematically when converting between number bases to avoid mistakes.