subtract the given numbers in the indicated base.

\
\begin{array}{r}
41_{\text{five}} \\
-\quad 33_{\text{five}} \\
\hline
\end{array}
\

the difference is $\square_{\text{five}}$.

Question

subtract the given numbers in the indicated base.

\
\begin{array}{r}
41_{\text{five}} \\
-\quad 33_{\text{five}} \\
\hline
\end{array}
\

the difference is $\square_{\text{five}}$.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Non-Decimal Arithmetic" ], "new_concepts": [ "Base Five Subtraction" ], "current_concepts": [ "Non-Decimal Arithmetic", "Base Five Subtraction" ] } ## Align the numbers vertically $$ \begin{array}{r@{\quad}l} 41_{\text{five}} \ - \ 33_{\text{five}} \ \hline \end{array} $$ ## Subtract the units column with regrouping $$ \begin{aligned} 1_{\text{five}} &< 3_{\text{five}} \implies \text{Borrow } 1 \text{ from the fives column} \ 4_{\text{five}} &\to 3_{\text{five}} \ 1_{\text{five}} &\to 1_{\text{five}} + 5 = 6_{\text{ten}} \ 6_{\text{ten}} - 3_{\text{ten}} &= 3_{\text{ten}} = 3_{\text{five}} \end{aligned} $$ ## Subtract the fives column $$ 3_{\text{five}} - 3_{\text{five}} = 0_{\text{five}} $$ Subtract the given numbers in the indicated base. $$ \begin{array}{r@{\quad}l} 41_{\text{five}} \ - \ 33_{\text{five}} \ \hline \end{array} $$ The difference is $3$$_{\text{five}}$. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Non-Decimal Arithmetic" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Align the numbers vertically

Subtract the units column with regrouping

Subtract the fives column

Answer: