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 18 1000 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$\frac { 1000 } { 18 }$$

Evaluate

$\frac{500}{9}\approx 55.555555556$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1000$

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)1000}\\\end{array}$$

Since $1$ is less than $18$, use the next digit $0$ from dividend $1000$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)1000}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $1000$

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)1000}\\\end{array}$$

Since $10$ is less than $18$, use the next digit $0$ from dividend $1000$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{18)}00\phantom{4}\\18\overline{)1000}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $1000$

$$\begin{array}{l}\phantom{18)}00\phantom{5}\\18\overline{)1000}\\\end{array}$$

Find closest multiple of $18$ to $100$. We see that $5 \times 18 = 90$ is the nearest. Now subtract $90$ from $100$ to get reminder $10$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{18)}005\phantom{6}\\18\overline{)1000}\\\phantom{18)}\underline{\phantom{9}90\phantom{9}}\\\phantom{18)9}10\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $1000$

$$\begin{array}{l}\phantom{18)}005\phantom{7}\\18\overline{)1000}\\\phantom{18)}\underline{\phantom{9}90\phantom{9}}\\\phantom{18)9}100\\\end{array}$$

Find closest multiple of $18$ to $100$. We see that $5 \times 18 = 90$ is the nearest. Now subtract $90$ from $100$ to get reminder $10$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{18)}0055\phantom{8}\\18\overline{)1000}\\\phantom{18)}\underline{\phantom{9}90\phantom{9}}\\\phantom{18)9}100\\\phantom{18)}\underline{\phantom{99}90\phantom{}}\\\phantom{18)99}10\\\end{array}$$

Since $10$ is less than $18$, stop the division. The reminder is $10$. The topmost line $0055$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $55$.

$$\text{Quotient: }55$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 5 ^ {3}}{3 ^ {2}} = 55\frac{5}{9} = 55.55555555555556$