How to solve (3500)/(20)

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)/(20) | Equatix

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Question

$$\frac{ 3500 }{ 20 }$$

Evaluate

$175$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)3500}\\\end{array}$$

Since $3$ is less than $20$, use the next digit $5$ from dividend $3500$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)3500}\\\end{array}$$

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

$$\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)3500}\\\end{array}$$

Find closest multiple of $20$ to $35$. We see that $1 \times 20 = 20$ is the nearest. Now subtract $20$ from $35$ to get reminder $15$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{20)}01\phantom{4}\\20\overline{)3500}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}15\\\end{array}$$

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

$$\begin{array}{l}\phantom{20)}01\phantom{5}\\20\overline{)3500}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}150\\\end{array}$$

Find closest multiple of $20$ to $150$. We see that $7 \times 20 = 140$ is the nearest. Now subtract $140$ from $150$ to get reminder $10$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{20)}017\phantom{6}\\20\overline{)3500}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}150\\\phantom{20)}\underline{\phantom{}140\phantom{9}}\\\phantom{20)9}10\\\end{array}$$

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

$$\begin{array}{l}\phantom{20)}017\phantom{7}\\20\overline{)3500}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}150\\\phantom{20)}\underline{\phantom{}140\phantom{9}}\\\phantom{20)9}100\\\end{array}$$

Find closest multiple of $20$ to $100$. We see that $5 \times 20 = 100$ is the nearest. Now subtract $100$ from $100$ to get reminder $0$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{20)}0175\phantom{8}\\20\overline{)3500}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}150\\\phantom{20)}\underline{\phantom{}140\phantom{9}}\\\phantom{20)9}100\\\phantom{20)}\underline{\phantom{9}100\phantom{}}\\\phantom{20)9999}0\\\end{array}$$

Since $0$ is less than $20$, stop the division. The reminder is $0$. The topmost line $0175$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $175$.

$$\text{Quotient: }175$$ $$\text{Reminder: }0$$

Show Solution

Factor

$5^{2}\times 7$