How to solve 100x1200

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 100x1200 | Equatix

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Question

$$100x1200$$

Evaluate

$100x_{1200}$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}100\\\underline{\times\phantom{99}1200}\\\end{array}$$

Now multiply the first number with the $1^{st}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 100 with 0. Write the result 0 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}100\\\underline{\times\phantom{99}1200}\\\phantom{\times999999}0\\\end{array}$$

Now multiply the first number with the $2^{nd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 100 with 0. Write the result 0 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}100\\\underline{\times\phantom{99}1200}\\\phantom{\times999999}0\\\phantom{\times99999}0\phantom{9}\\\end{array}$$

Now multiply the first number with the $3^{rd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 100 with 2. Write the result 200 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}100\\\underline{\times\phantom{99}1200}\\\phantom{\times999999}0\\\phantom{\times99999}0\phantom{9}\\\phantom{\times9}200\phantom{99}\\\end{array}$$

Now multiply the first number with the $4^{th}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 100 with 1. Write the result 100 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}100\\\underline{\times\phantom{99}1200}\\\phantom{\times999999}0\\\phantom{\times99999}0\phantom{9}\\\phantom{\times9}200\phantom{99}\\\underline{\phantom{\times}100\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

Show Solution

Differentiate w.r.t. x_1200

$100$

Steps Using Definition of a Derivative

The derivative of $ax^{n}$ is $nax^{n-1}$.

$$100x_{1200}^{1-1}$$

Subtract $1$ from $1$.

$$100x_{1200}^{0}$$

For any term $t$ except $0$, $t^{0}=1$.

$$100\times 1$$

For any term $t$, $t\times 1=t$ and $1t=t$.

$$100$$