How to solve f. 3268/16 ories

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 f. 3268/16 ories | Equatix

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Question

$$3268 \div 16$$

Evaluate

$\frac{817}{4}=204.25$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3268$

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)3268}\\\end{array}$$

Since $3$ is less than $16$, use the next digit $2$ from dividend $3268$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)3268}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $3268$

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)3268}\\\end{array}$$

Find closest multiple of $16$ to $32$. We see that $2 \times 16 = 32$ is the nearest. Now subtract $32$ from $32$ to get reminder $0$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{16)}02\phantom{4}\\16\overline{)3268}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)99}0\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $3268$

$$\begin{array}{l}\phantom{16)}02\phantom{5}\\16\overline{)3268}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)99}6\\\end{array}$$

Since $6$ is less than $16$, use the next digit $8$ from dividend $3268$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{16)}020\phantom{6}\\16\overline{)3268}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)99}6\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $3268$

$$\begin{array}{l}\phantom{16)}020\phantom{7}\\16\overline{)3268}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)99}68\\\end{array}$$

Find closest multiple of $16$ to $68$. We see that $4 \times 16 = 64$ is the nearest. Now subtract $64$ from $68$ to get reminder $4$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{16)}0204\phantom{8}\\16\overline{)3268}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)99}68\\\phantom{16)}\underline{\phantom{99}64\phantom{}}\\\phantom{16)999}4\\\end{array}$$

Since $4$ is less than $16$, stop the division. The reminder is $4$. The topmost line $0204$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $204$.

$$\text{Quotient: }204$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{19 \cdot 43}{2 ^ {2}} = 204\frac{1}{4} = 204.25$