Question

Fill in the blanks

(i) 72 ÷ (......) = −4
(ii) −36 ÷ (......) = −4
(iii) (......) ÷ (−4) = 24
(iv) (......) ÷ 25 = 0
(v) (......) ÷ (−1) = 36
(vi) (......) ÷ 1 = −37
(vii) 39 ÷ (......) = −1
(viii) 1 ÷ (......) = −1
(ix) −1 ÷ (......) = −1

Answer 1

(i)
72 ÷ (x) = −4
$$\begin{gathered} \Rightarrow \frac{72}{x}=-4 \\ \Rightarrow x=\frac{72}{-4}=-18 \end{gathered}$$

(ii)
−36 ÷ (x) = −4
$$\begin{gathered} \Rightarrow \frac{-36}{x}=-4 \\ \Rightarrow x=\frac{-36}{-4}=9 \end{gathered}$$

(iii)
(x) ÷ (−4) = 24
$$\begin{gathered} \Rightarrow \frac{x}{-4}=24 \\ \Rightarrow x=24\times (-4)=-96 \end{gathered}$$

(iv)
(x) ÷ 25 = 0
$$\begin{gathered} \Rightarrow \frac{x}{25}=0 \\ \Rightarrow x=25\times 0=0 \end{gathered}$$

(v)
(x) ÷ (−1) = 36
$$\begin{gathered} \Rightarrow \frac{x}{-1}=36 \\ \Rightarrow x=36\times (-1)=-36 \end{gathered}$$

(vi)
(x) ÷ 1 = −37
$$\begin{gathered} \Rightarrow \frac{x}{1}=-37 \\ \Rightarrow x=-37\times 1=-37 \end{gathered}$$

(vii)
39 ÷ (x) = −1
$$\begin{gathered} \Rightarrow \frac{39}{x}=-1 \\ \Rightarrow x=-1\times 39=-39 \end{gathered}$$

(viii)
1 ÷ (x) = −1
$$\begin{gathered} \Rightarrow \frac{1}{x}=-1 \\ \Rightarrow x=-1\times 1=-1 \end{gathered}$$

(ix)
−1 ÷ (x) = −1
$$\begin{gathered} \Rightarrow \frac{-1}{x}=-1 \\ \Rightarrow x=\frac{-1}{-1}=1 \end{gathered}$$