subtract the given numbers in the indicated base.

\
\begin{array}{r}
30_{\text{five}} \\
-\quad 12_{\text{five}} \\
\hline
\end{array}
\

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

Question

subtract the given numbers in the indicated base.

\
\begin{array}{r}
30_{\text{five}} \\
-\quad 12_{\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": [ "Base Five Subtraction", "Non-Decimal Arithmetic" ], "new_concepts": [], "current_concepts": [ "Base Five Subtraction", "Non-Decimal Arithmetic" ] } ## Regroup from the fives place $$ \begin{aligned} 30_{\text{five}} &= 2_{\text{five}} \cdot 5^1 + 1_{\text{five}} \cdot 5^1 \ &= 20_{\text{five}} + 10_{\text{five}} \end{aligned} $$ ## Subtract the units place $$ 10_{\text{five}} - 2_{\text{five}} = 5_{10} - 2_{10} = 3_{\text{five}} $$ ## Subtract the fives place $$ 2_{\text{five}} - 1_{\text{five}} = 1_{\text{five}} $$ Subtract the given numbers in the indicated base. $$ \begin{array}{r} 30_{\text{five}} \ -\quad 12_{\text{five}} \ \hline \end{array} $$ The difference is $13$$_{\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:

Regroup from the fives place

Subtract the units place

Subtract the fives place

Answer: