How to solve 2801/500

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 2801/500 | Equatix

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Question

$$2801/500$$

Evaluate

$\frac{2801}{500}=5.602$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2801$

$$\begin{array}{l}\phantom{500)}\phantom{1}\\500\overline{)2801}\\\end{array}$$

Since $2$ is less than $500$, use the next digit $8$ from dividend $2801$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{500)}0\phantom{2}\\500\overline{)2801}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $2801$

$$\begin{array}{l}\phantom{500)}0\phantom{3}\\500\overline{)2801}\\\end{array}$$

Since $28$ is less than $500$, use the next digit $0$ from dividend $2801$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{500)}00\phantom{4}\\500\overline{)2801}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $2801$

$$\begin{array}{l}\phantom{500)}00\phantom{5}\\500\overline{)2801}\\\end{array}$$

Since $280$ is less than $500$, use the next digit $1$ from dividend $2801$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{500)}000\phantom{6}\\500\overline{)2801}\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $2801$

$$\begin{array}{l}\phantom{500)}000\phantom{7}\\500\overline{)2801}\\\end{array}$$

Find closest multiple of $500$ to $2801$. We see that $5 \times 500 = 2500$ is the nearest. Now subtract $2500$ from $2801$ to get reminder $301$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{500)}0005\phantom{8}\\500\overline{)2801}\\\phantom{500)}\underline{\phantom{}2500\phantom{}}\\\phantom{500)9}301\\\end{array}$$

Since $301$ is less than $500$, stop the division. The reminder is $301$. The topmost line $0005$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5$.

$$\text{Quotient: }5$$ $$\text{Reminder: }301$$

Show Solution

Factor

$\frac{2801}{2 ^ {2} \cdot 5 ^ {3}} = 5\frac{301}{500} = 5.602$