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Place Parenthesis to Make True Statements Practice

Practice Place Parenthesis to Make True Statements questions

Question 1

Use the symbols $$\begin{align*}+, ~−, ~×,~ ÷, ~(~)\end{align*}$$ to make the equation true. $$\begin{align*}7 \text{___}7 \text{___} 5 \text{___} 8 \text{___} 5 \text{___} 2 = 1\end{align*}$$

  1. $$\begin{align*}7 ÷ 7 × 5 + 8 + 5 − 2 = 1\end{align*}$$
  2. $$\begin{align*}7 × (7 + 5 – 8) + 5 ÷ 2 = 1\end{align*}$$
  3. $$\begin{align*}7 ÷ 7 + (5 + 8 – 5) × 2 = 1\end{align*}$$
  4. $$\begin{align*}(7 ÷ 7 + 5 – 8) + 5 − 2 = 1\end{align*}$$

Question 2

Add the correct operators $$\begin{align*}+,~ −,~ ×, ~÷,~ (~),\end{align*}$$ to make the equation true. $$\begin{align*}6\underline{~~~~}4\underline{~~~~}8\underline{~~~~}2\underline{~~~~}9\underline{~~~~}3 = 60\end{align*}$$

  1. $$\begin{align*}6 × 4 − 8 + 2 ÷ 9 − 3 = 60\end{align*}$$
  2. $$\begin{align*}6 × (4 + 8) − 2 × (9 – 3) = 60\end{align*}$$
  3. $$\begin{align*}(6 + 4) × 8 ÷ 2 − 9 × 3 = 60\end{align*}$$
  4. $$\begin{align*}6 ÷ 4 − 8 − 2 × 9 + 3 = 60\end{align*}$$

Question 3

Where should the missing parentheses be placed to make the equation true? $$\begin{align*}56 ÷ 7 + 1\, –\, 4 = 3\end{align*}$$

  1. $$\begin{align*}56 ÷ (7 + 1) – 4 = 3\end{align*}$$
  2. $$\begin{align*}(56 ÷ 7 + 1) – 4 = 3\end{align*}$$
  3. $$\begin{align*}56 ÷ 7 + (1 – 4) = 3\end{align*}$$
  4. $$\begin{align*}56 ÷ (7 + 1 – 4) = 3\end{align*}$$

Question 4

Use the correct operators $$\begin{align*}+,~ −, ~×,~ ÷,~ (~),\end{align*}$$ to make the equation true. $$\begin{align*}4\underline{~~~~}4\underline{~~~~}5\underline{~~~~}5\underline{~~~~}6\underline{~~~~}6 = 9\end{align*}$$

  1. $$\begin{align*}4 + (4 − 5 ÷ 5) ÷ 6 × 6 = 9\end{align*}$$
  2. $$\begin{align*}4 × 4 ÷ 5 ÷ (5 − 6 + 6) = 9\end{align*}$$
  3. $$\begin{align*}4 ÷ 4 × (5 + 5) − 6 ÷ 6 = 9\end{align*}$$
  4. $$\begin{align*}4 × 4 − 5 + 5 ÷ (6 ÷ 6) = 9\end{align*}$$
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