How to solve 3500/485

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 3500/485 | Equatix

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Question

$$3500/485$$

Evaluate

$\frac{700}{97}\approx 7.216494845$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3500$

$$\begin{array}{l}\phantom{485)}\phantom{1}\\485\overline{)3500}\\\end{array}$$

Since $3$ is less than $485$, use the next digit $5$ from dividend $3500$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{485)}0\phantom{2}\\485\overline{)3500}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $3500$

$$\begin{array}{l}\phantom{485)}0\phantom{3}\\485\overline{)3500}\\\end{array}$$

Since $35$ is less than $485$, use the next digit $0$ from dividend $3500$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{485)}00\phantom{4}\\485\overline{)3500}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $3500$

$$\begin{array}{l}\phantom{485)}00\phantom{5}\\485\overline{)3500}\\\end{array}$$

Since $350$ is less than $485$, use the next digit $0$ from dividend $3500$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{485)}000\phantom{6}\\485\overline{)3500}\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $3500$

$$\begin{array}{l}\phantom{485)}000\phantom{7}\\485\overline{)3500}\\\end{array}$$

Find closest multiple of $485$ to $3500$. We see that $7 \times 485 = 3395$ is the nearest. Now subtract $3395$ from $3500$ to get reminder $105$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{485)}0007\phantom{8}\\485\overline{)3500}\\\phantom{485)}\underline{\phantom{}3395\phantom{}}\\\phantom{485)9}105\\\end{array}$$

Since $105$ is less than $485$, stop the division. The reminder is $105$. The topmost line $0007$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $7$.

$$\text{Quotient: }7$$ $$\text{Reminder: }105$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 5 ^ {2} \cdot 7}{97} = 7\frac{21}{97} = 7.216494845360825$