Question

Use the sign of $>,<or=$in the box to make the statement true:$39+(-24)-\left(15\right)[]36+(-52)-(-36)$

Answer 1

Given statement is : $39+(-24)-\left(15\right)[]36+(-52)-(-36)$

Step 1 : Considering Left Hand Side (L.H.S) we get

$$\begin{gathered} =39+(-24)–15 \\ =39–24–15 \\ =39–39 \\ =0 \end{gathered}$$

Step 2 :Considering Right Hand Side (R.H.S) we get

$\begin{array}{rcl}& =& 36+(-52)–(-36)\\ & =& 36–52+36\\ & =& 72–52\\ & =& 20\end{array}$

Step 3 : On comparing L.H.S and R.H.S

L.H.S < R.H.S

$0<20$

Therefore, $\mathbf{39}\mathbf{}\mathbf{+}\mathbf{}\mathbf{(}\mathbf{-}\mathbf{24}\mathbf{)}\mathbf{}\mathbf{–}\mathbf{}\mathbf{\left(}\mathbf{15}\mathbf{\right)}\mathbf{}\mathbf{[}\mathbf{<}\mathbf{]}\mathbf{}\mathbf{36}\mathbf{}\mathbf{+}\mathbf{}\mathbf{(}\mathbf{-}\mathbf{52}\mathbf{)}\mathbf{}\mathbf{–}\mathbf{}\mathbf{(}\mathbf{-}\mathbf{}\mathbf{36}\mathbf{)}$.