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 9822/22 | Equatix

Question

$$9822\div22$$

Evaluate

$\frac{4911}{11}\approx 446.454545455$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $9822$

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)9822}\\\end{array}$$

Since $9$ is less than $22$, use the next digit $8$ from dividend $9822$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)9822}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $9822$

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)9822}\\\end{array}$$

Find closest multiple of $22$ to $98$. We see that $4 \times 22 = 88$ is the nearest. Now subtract $88$ from $98$ to get reminder $10$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{22)}04\phantom{4}\\22\overline{)9822}\\\phantom{22)}\underline{\phantom{}88\phantom{99}}\\\phantom{22)}10\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $9822$

$$\begin{array}{l}\phantom{22)}04\phantom{5}\\22\overline{)9822}\\\phantom{22)}\underline{\phantom{}88\phantom{99}}\\\phantom{22)}102\\\end{array}$$

Find closest multiple of $22$ to $102$. We see that $4 \times 22 = 88$ is the nearest. Now subtract $88$ from $102$ to get reminder $14$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{22)}044\phantom{6}\\22\overline{)9822}\\\phantom{22)}\underline{\phantom{}88\phantom{99}}\\\phantom{22)}102\\\phantom{22)}\underline{\phantom{9}88\phantom{9}}\\\phantom{22)9}14\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $9822$

$$\begin{array}{l}\phantom{22)}044\phantom{7}\\22\overline{)9822}\\\phantom{22)}\underline{\phantom{}88\phantom{99}}\\\phantom{22)}102\\\phantom{22)}\underline{\phantom{9}88\phantom{9}}\\\phantom{22)9}142\\\end{array}$$

Find closest multiple of $22$ to $142$. We see that $6 \times 22 = 132$ is the nearest. Now subtract $132$ from $142$ to get reminder $10$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{22)}0446\phantom{8}\\22\overline{)9822}\\\phantom{22)}\underline{\phantom{}88\phantom{99}}\\\phantom{22)}102\\\phantom{22)}\underline{\phantom{9}88\phantom{9}}\\\phantom{22)9}142\\\phantom{22)}\underline{\phantom{9}132\phantom{}}\\\phantom{22)99}10\\\end{array}$$

Since $10$ is less than $22$, stop the division. The reminder is $10$. The topmost line $0446$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $446$.

$$\text{Quotient: }446$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{3 \cdot 1637}{11} = 446\frac{5}{11} = 446.45454545454544$

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Steps For Long Division Method

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