How to solve (121)/(11)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (121)/(11) | Equatix

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Question

$$\frac{ 121 }{ 11 }$$

Evaluate

$11$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $121$

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)121}\\\end{array}$$

Since $1$ is less than $11$, use the next digit $2$ from dividend $121$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)121}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $121$

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)121}\\\end{array}$$

Find closest multiple of $11$ to $12$. We see that $1 \times 11 = 11$ is the nearest. Now subtract $11$ from $12$ to get reminder $1$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{11)}01\phantom{4}\\11\overline{)121}\\\phantom{11)}\underline{\phantom{}11\phantom{9}}\\\phantom{11)9}1\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $121$

$$\begin{array}{l}\phantom{11)}01\phantom{5}\\11\overline{)121}\\\phantom{11)}\underline{\phantom{}11\phantom{9}}\\\phantom{11)9}11\\\end{array}$$

Find closest multiple of $11$ to $11$. We see that $1 \times 11 = 11$ is the nearest. Now subtract $11$ from $11$ to get reminder $0$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{11)}011\phantom{6}\\11\overline{)121}\\\phantom{11)}\underline{\phantom{}11\phantom{9}}\\\phantom{11)9}11\\\phantom{11)}\underline{\phantom{9}11\phantom{}}\\\phantom{11)999}0\\\end{array}$$

Since $0$ is less than $11$, stop the division. The reminder is $0$. The topmost line $011$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $11$.

$$\text{Quotient: }11$$ $$\text{Reminder: }0$$

Show Solution

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