$22200 \times 24$

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Grade 6

Write multiplication expressions using exponents

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22200 \times 24

Identify Numbers: Identify the numbers to be multiplied. We have two numbers, $22200$ and $24$ , which we need to multiply together.
Set Up Multiplication: Set up the multiplication. Write down the larger number, $22200$ , and below it write the smaller number, $24$ , aligning the units digits.
Multiply Units and Tens Digits: Multiply the units digit of the second number $4$ by each digit of the first number $22200$ , starting from the rightmost digit. Write down the result below the line.
Add Products: Multiply the tens digit of the second number ( $2$ ) by each digit of the first number ( $22200$ ), starting from the rightmost digit. Remember to add a zero (as a placeholder) to the right of the result since we are now in the tens place. Write down the result below the previous product.
Perform Calculations: Add the two products obtained in steps $3$ and $4$ to get the final result.
Perform Calculations: Add the two products obtained in steps $3$ and $4$ to get the final result. Perform the calculations from steps $3$ , $4$ , and $5$ . $\newline$ Multiplying by the units digit of $24$ : $\newline$ $\newline$ \begin{align*} $\newline$ & $22200$ (\newline\)&\times\ $4$ (\newline\)\hline $\newline$ & $88800$ \ \text{(This is the product of $22200$ and $4$ )} $\newline$ \end{align*} $\newline$ $\newline$ Multiplying by the tens digit of $24$ (don't forget the placeholder zero): $\newline$ $\newline$ \begin{align*} $\newline$ & $22200$ (\newline\)&\times\ $2$ (\newline\)\hline $\newline$ & $44400$ \ \text{(This is $10$ times the product of $22200$ and $2$ , hence the placeholder zero)} $\newline$ \end{align*} $\newline$ $\newline$ Now add the two products: $\newline$ $\newline$ \begin{align*} $\newline$ &\phantom{+} $88800$ (\newline\)&+ $44400$ (\newline\)\hline $\newline$ & $133200$ $\newline$ \end{align*} $\newline$