How to solve and 36 52/16

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 and 36 52/16 | Equatix

Question

$$3652 \div 16$$

Evaluate

$\frac{913}{4}=228.25$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3652$

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)3652}\\\end{array}$$

Since $3$ is less than $16$, use the next digit $6$ from dividend $3652$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)3652}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $3652$

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)3652}\\\end{array}$$

Find closest multiple of $16$ to $36$. We see that $2 \times 16 = 32$ is the nearest. Now subtract $32$ from $36$ to get reminder $4$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{16)}02\phantom{4}\\16\overline{)3652}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)9}4\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $3652$

$$\begin{array}{l}\phantom{16)}02\phantom{5}\\16\overline{)3652}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)9}45\\\end{array}$$

Find closest multiple of $16$ to $45$. We see that $2 \times 16 = 32$ is the nearest. Now subtract $32$ from $45$ to get reminder $13$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{16)}022\phantom{6}\\16\overline{)3652}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)9}45\\\phantom{16)}\underline{\phantom{9}32\phantom{9}}\\\phantom{16)9}13\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $3652$

$$\begin{array}{l}\phantom{16)}022\phantom{7}\\16\overline{)3652}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)9}45\\\phantom{16)}\underline{\phantom{9}32\phantom{9}}\\\phantom{16)9}132\\\end{array}$$

Find closest multiple of $16$ to $132$. We see that $8 \times 16 = 128$ is the nearest. Now subtract $128$ from $132$ to get reminder $4$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{16)}0228\phantom{8}\\16\overline{)3652}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)9}45\\\phantom{16)}\underline{\phantom{9}32\phantom{9}}\\\phantom{16)9}132\\\phantom{16)}\underline{\phantom{9}128\phantom{}}\\\phantom{16)999}4\\\end{array}$$

Since $4$ is less than $16$, stop the division. The reminder is $4$. The topmost line $0228$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $228$.

$$\text{Quotient: }228$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{11 \cdot 83}{2 ^ {2}} = 228\frac{1}{4} = 228.25$

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Steps For Long Division Method

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