How to solve 3540/100

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 3540/100 | Equatix

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Question

$$3540\div100$$

Evaluate

$\frac{177}{5}=35.4$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3540$

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)3540}\\\end{array}$$

Since $3$ is less than $100$, use the next digit $5$ from dividend $3540$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)3540}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $3540$

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)3540}\\\end{array}$$

Since $35$ is less than $100$, use the next digit $4$ from dividend $3540$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)3540}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $3540$

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)3540}\\\end{array}$$

Find closest multiple of $100$ to $354$. We see that $3 \times 100 = 300$ is the nearest. Now subtract $300$ from $354$ to get reminder $54$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{100)}003\phantom{6}\\100\overline{)3540}\\\phantom{100)}\underline{\phantom{}300\phantom{9}}\\\phantom{100)9}54\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $3540$

$$\begin{array}{l}\phantom{100)}003\phantom{7}\\100\overline{)3540}\\\phantom{100)}\underline{\phantom{}300\phantom{9}}\\\phantom{100)9}540\\\end{array}$$

Find closest multiple of $100$ to $540$. We see that $5 \times 100 = 500$ is the nearest. Now subtract $500$ from $540$ to get reminder $40$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{100)}0035\phantom{8}\\100\overline{)3540}\\\phantom{100)}\underline{\phantom{}300\phantom{9}}\\\phantom{100)9}540\\\phantom{100)}\underline{\phantom{9}500\phantom{}}\\\phantom{100)99}40\\\end{array}$$

Since $40$ is less than $100$, stop the division. The reminder is $40$. The topmost line $0035$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $35$.

$$\text{Quotient: }35$$ $$\text{Reminder: }40$$

Show Solution

Factor

$\frac{3 \cdot 59}{5} = 35\frac{2}{5} = 35.4$