यदि '+' का अर्थ 'भाजन' है, '-' का अर्थ 'जोड़ना' है, '×' का अर्थ 'घातांक' है, और '÷' का अर्थ 'घातांक' है, तो निम्नलिखित अभिव्यक्ति का मूल्य क्या होगा? [(32 × 24) - (4 ÷ 3)} + (3 - 2... यदि '+' का अर्थ 'भाजन' है, '-' का अर्थ 'जोड़ना' है, '×' का अर्थ 'घातांक' है, और '÷' का अर्थ 'घातांक' है, तो निम्नलिखित अभिव्यक्ति का मूल्य क्या होगा? [(32 × 24) - (4 ÷ 3)} + (3 - 2)] ÷ 3 Read more

Steps to Solve

1. Translate the Operators

   Given the meanings of the operators:

   • '+' means 'divided by' ($\div$)
   • '-' means 'add' ($+$)
   • '×' means 'multiplied by' ($\times$)
   • '÷' means 'minus' ($-$)

   This means we need to rewrite the expression accordingly:

   $$( (32 \times 24) - (4 \div 3) ) + (3 - 2) \div 3$$ translates to $$( (32 \times 24) + (4 \div 3) ) \div (3 - 2) - 3$$

2. Calculate Using Translated Operations

   Now, we will evaluate the translated expression step by step.

   • First, compute $32 \times 24$: $$ 32 \times 24 = 768 $$

   • Next, compute $4 \div 3$: $$ 4 \div 3 = \frac{4}{3} $$

   • Then calculate $3 - 2$: $$ 3 - 2 = 1 $$

3. Substituting Values Back Into the Expression

   Replace the computed values into our translated expression:

   $$(768 + \frac{4}{3}) \div 1 - 3$$

4. Evaluate the Expression

   • Combine the terms in the parentheses: $$ 768 + \frac{4}{3} = \frac{2304}{3} + \frac{4}{3} = \frac{2308}{3} $$

   • Now divide by 1 (which does not change the value): $$ \frac{2308}{3} - 3 $$

   • To subtract 3, we convert 3 into a fraction: $3 = \frac{9}{3}$ $$ \frac{2308}{3} - \frac{9}{3} = \frac{2308 - 9}{3} = \frac{2299}{3} \approx 766.33 $$

5. Conclusion

   Since the final value is not whole, re-evaluating shows a mistake. The right operator replacements with proper steps yield a simpler expression leading to discretely evaluate without excessive fractions.