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chapter 1: understanding the number system and operations multi - digit…

Question

chapter 1: understanding the number system and operations multi - digit multiplication multiply 3,263 by 3. multiply 3,263 by 40. add. \\(\

$$\begin{array}{r}3263\\\\\\times\\quad 43\\\\\\hline\\end{array}$$

\\) \\(\

$$\begin{array}{r}3263\\\\\\times\\quad \\ 3\\\\\\hline 9789\\end{array}$$

\\) \\(\

$$\begin{array}{r}3263\\\\\\times\\quad 40\\\\\\hline 130520\\end{array}$$

\\) \\(\

$$\begin{array}{r}3263\\\\\\times\\quad 43\\\\\\hline \\ \\ 9789\\\\+130520\\\\\\hline 140,309\\end{array}$$

\\) multiply. 1. \\(\

$$\begin{array}{r}324\\\\\\times\\ 27\\\\\\hline\\end{array}$$

\\) (with handwritten 368) 2. \\(\

$$\begin{array}{r}816\\\\\\times\\ 16\\\\\\hline\\end{array}$$

\\) (with handwritten 846) 3. \\(\

$$\begin{array}{r}255\\\\\\times\\ 44\\\\\\hline\\end{array}$$

\\) (with handwritten 420) 4. \\(\

$$\begin{array}{r}5150\\\\\\times\\ \\ 22\\\\\\hline\\end{array}$$

\\) 5. \\(\

$$\begin{array}{r}7182\\\\\\times\\ \\ 12\\\\\\hline\\end{array}$$

\\) (with handwritten \\(\

$$\begin{array}{r}14364\\\\+71820\\\\\\hline 86184\\end{array}$$

\\)) 6. \\(\

$$\begin{array}{r}6324\\\\\\times\\ \\ 36\\\\\\hline\\end{array}$$

\\) 7. \\(\

$$\begin{array}{r}886\\\\\\times 374\\\\\\hline\\end{array}$$

\\) 8. \\(\

$$\begin{array}{r}763\\\\\\times 618\\\\\\hline\\end{array}$$

\\) 9. \\(\

$$\begin{array}{r}654\\\\\\times 523\\\\\\hline\\end{array}$$

\\) 10. \\(\

$$\begin{array}{r}2186\\\\\\times\\ 342\\\\\\hline\\end{array}$$

\\) 11. \\(\

$$\begin{array}{r}1898\\\\\\times\\ 475\\\\\\hline\\end{array}$$

\\) 12. \\(\

$$\begin{array}{r}3688\\\\\\times\\ 259\\\\\\hline\\end{array}$$

\\)

Explanation:

Response

Let's solve problem 1: \( 324 \times 27 \)

Step 1: Multiply 324 by 7

\( 324 \times 7 = 2268 \)

Step 2: Multiply 324 by 20 (since 2 in 27 is in the tens place)

\( 324 \times 20 = 6480 \)

Step 3: Add the two results

\( 2268 + 6480 = 8748 \)

Step 1: Multiply 816 by 6

\( 816 \times 6 = 4896 \)

Step 2: Multiply 816 by 10 (since 1 in 16 is in the tens place)

\( 816 \times 10 = 8160 \)

Step 3: Add the two results

\( 4896 + 8160 = 13056 \)

Step 1: Multiply 255 by 4

\( 255 \times 4 = 1020 \)

Step 2: Multiply 255 by 40 (since 4 in 44 is in the tens place)

\( 255 \times 40 = 10200 \)

Step 3: Add the two results

\( 1020 + 10200 = 11220 \)

Answer:

8748

Let's solve problem 2: \( 816 \times 16 \)