How to solve 565 imes545

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 565\times545 | Equatix

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Question

$$565 \times 545$$

Evaluate

$307925$

Steps For Long Multiplication

First line up the numbers vertically and match the places from the right like this.

$$\begin{array}{c}\phantom{\times999}565\\\underline{\times\phantom{999}545}\\\end{array}$$

Now multiply the first number with the $1^{st}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 565 with 5. Write the result 2825 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}565\\\underline{\times\phantom{999}545}\\\phantom{\times99}2825\\\end{array}$$

Now multiply the first number with the $2^{nd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 565 with 4. Write the result 2260 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}565\\\underline{\times\phantom{999}545}\\\phantom{\times99}2825\\\phantom{\times9}2260\phantom{9}\\\end{array}$$

Now multiply the first number with the $3^{rd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 565 with 5. Write the result 2825 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}565\\\underline{\times\phantom{999}545}\\\phantom{\times99}2825\\\phantom{\times9}2260\phantom{9}\\\underline{\phantom{\times}2825\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}565\\\underline{\times\phantom{999}545}\\\phantom{\times99}2825\\\phantom{\times9}2260\phantom{9}\\\underline{\phantom{\times}2825\phantom{99}}\\\phantom{\times}307925\end{array}$$

Show Solution

Factor

$5^{2}\times 109\times 113$