Recognize Positive Numbers: Recognize that we are multiplying two positive numbers, 106 and 97.Set Up Multiplication Problem: Set up the multiplication problem in the standard format with 106 on top and 97 below it, aligning the units digits.Multiply Units Digits: Multiply the units digit of the bottom number (7) by each digit of the top number (106), starting from the rightmost digit. 7 * 6 = 42, write down 2 and carry over 4. 7 * 0 = 0, add the carried over 4 to get 4, write down 4. 7 * 1 = 7, write down 7.Write Zero Below: Write a zero below the units place of the result from Step 3 because we are now going to multiply the tens digit of the bottom number (9) by the top number (106).Multiply Tens Digits: Multiply the tens digit of the bottom number (9) by each digit of the top number (106), starting from the rightmost digit. 9 * 6 = 54, write down 4 and carry over 5. 9 * 0 = 0, add the carried over 5 to get 5, write down 5. 9 * 1 = 9, write down 9.Add Results: Add the two results from Step 3 and Step 5. 742 +9540 ----- 10282

Grade 7

Multiply and divide integers

Full solution

106\times097

Recognize Positive Numbers: Recognize that we are multiplying two positive numbers, $106$ and $97$ .
Set Up Multiplication Problem: Set up the multiplication problem in the standard format with $106$ on top and $97$ below it, aligning the units digits.
Multiply Units Digits: Multiply the units digit of the bottom number $7$ by each digit of the top number $106$ , starting from the rightmost digit. $\newline$ $7 \times 6 = 42$ , write down $2$ and carry over $4$ . $\newline$ $7 \times 0 = 0$ , add the carried over $4$ to get $4$ , write down $4$ . $\newline$ $7 \times 1 = 7$ , write down $7$ .
Write Zero Below: Write a zero below the units place of the result from Step $3$ because we are now going to multiply the tens digit of the bottom number ( $9$ ) by the top number ( $106$ ).
Multiply Tens Digits: Multiply the tens digit of the bottom number ( $9$ ) by each digit of the top number ( $106$ ), starting from the rightmost digit. $\newline$ $9 \times 6 = 54$ , write down $4$ and carry over $5$ . $\newline$ $9 \times 0 = 0$ , add the carried over $5$ to get $5$ , write down $5$ . $\newline$ $9 \times 1 = 9$ , write down $9$ .
Add Results: Add the two results from Step $3$ and Step $5$ . $\newline$ $742$ $\newline$ + $9540$ $\newline$ ----- $\newline$ $10282$