How to solve Page: 24 6345

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 Page: 24 6345 | Equatix

Question

$$\frac { 6345 } { 24 }$$

Evaluate

$\frac{2115}{8}=264.375$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $6345$

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)6345}\\\end{array}$$

Since $6$ is less than $24$, use the next digit $3$ from dividend $6345$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)6345}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $6345$

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)6345}\\\end{array}$$

Find closest multiple of $24$ to $63$. We see that $2 \times 24 = 48$ is the nearest. Now subtract $48$ from $63$ to get reminder $15$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{24)}02\phantom{4}\\24\overline{)6345}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)}15\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $6345$

$$\begin{array}{l}\phantom{24)}02\phantom{5}\\24\overline{)6345}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)}154\\\end{array}$$

Find closest multiple of $24$ to $154$. We see that $6 \times 24 = 144$ is the nearest. Now subtract $144$ from $154$ to get reminder $10$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{24)}026\phantom{6}\\24\overline{)6345}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)}154\\\phantom{24)}\underline{\phantom{}144\phantom{9}}\\\phantom{24)9}10\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $6345$

$$\begin{array}{l}\phantom{24)}026\phantom{7}\\24\overline{)6345}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)}154\\\phantom{24)}\underline{\phantom{}144\phantom{9}}\\\phantom{24)9}105\\\end{array}$$

Find closest multiple of $24$ to $105$. We see that $4 \times 24 = 96$ is the nearest. Now subtract $96$ from $105$ to get reminder $9$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{24)}0264\phantom{8}\\24\overline{)6345}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)}154\\\phantom{24)}\underline{\phantom{}144\phantom{9}}\\\phantom{24)9}105\\\phantom{24)}\underline{\phantom{99}96\phantom{}}\\\phantom{24)999}9\\\end{array}$$

Since $9$ is less than $24$, stop the division. The reminder is $9$. The topmost line $0264$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $264$.

$$\text{Quotient: }264$$ $$\text{Reminder: }9$$

Show Solution

Factor

$\frac{3 ^ {2} \cdot 5 \cdot 47}{2 ^ {3}} = 264\frac{3}{8} = 264.375$

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Steps For Long Division Method

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