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Question

Simplify: $4 \div 8 \div 4 \times 4$

The correct answer is

$\frac{1}{2}$

Expression Simplification: $4 \div 8 \div 4 \times 4$

To simplify the given mathematical expression, we follow the standard order of operations (PEMDAS/BODMAS). This means we perform division and multiplication from left to right.

Calculation Steps

  1. Original expression: $4 \div 8 \div 4 \times 4$
  2. First division (left to right): $4 \div 8 = \frac{4}{8} = \frac{1}{2}$. The expression becomes: $\frac{1}{2} \div 4 \times 4$.
  3. Next division: $\frac{1}{2} \div 4 = \frac{1}{2} \times \frac{1}{4} = \frac{1}{8}$. The expression becomes: $\frac{1}{8} \times 4$.
  4. Final multiplication: $\frac{1}{8} \times 4 = \frac{4}{8} = \frac{1}{2}$.

Simplified Result

The final simplified value of the expression $4 \div 8 \div 4 \times 4$ is $\frac{1}{2}$.

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Important Questions from Simplification

  1. Simplify: \((x^{\frac{m}{n}})^{m+n} \times (x^{\frac{n}{p}})^{n+p} \times (x^{p} \times x^{m})^{p-m}\)

  2. Simplify: 2×[4−{2−(2−3)−(2+3)}−1]−5×[−3−(3−2)]

  3. Simplify √81 + ³√64 —————————— ³√3³ + 4² + ³√216

  4. The value of 0.18÷0.015 is:

  5. The mean of scores obtained by 50 students is found to be 79.5. Later on, it was found that the score of one student was read as 94 in place of 49 and the score of another student was read as 69 in place of 89. Find the correct mean.

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