d) \( 6891 \times 720 \) 8. Use long division to divide the following calculator: *a ) \( 8700 \div 60 \) (b) \( 34719 \div 71 \) (c) \( 208640 \div 160 \) d) 102

Sure, I'd be happy to help you solve these problems step by step. --- ### **Problem d) Multiply \( 6891 \times 720 \)** **Step 1: Break down the multiplication** Instead of multiplying directly, break down one of the numbers to simplify the calculation: \[ 6891 \times 720 = 6891 \times (700 + 20) \] **Step 2: Multiply each part separately** \[ 6891 \times 700 = 6891 \times 7 \times 100 = 48,237 \times 100 = 4,823,700 \] \[ 6891 \times 20 = 6891 \times 2 \times 10 = 13,782 \times 10 = 137,820 \] **Step 3: Add the two results** \[ 4,823,700 + 137,820 = 4,961,520 \] **Answer:** \( 6891 \times 720 = 4,961,520 \) --- ### **Problem 8: Use Long Division** Let's solve each division problem using long division. --- #### **a) \( 8700 \div 60 \)** **Step 1: Simplify the Division** Both numbers are divisible by 10: \[ 8700 \div 60 = 870 \div 6 \] **Step 2: Perform the Division** \[ 6 \) 870 \(\div 6\) = 1450 \] But let's confirm by dividing step-by-step: \[ \begin{array}{r|l} \multicolumn{2}{r}{8700} \\ 60 \big) & \underline{8700} \\ \end{array} \] - 60 goes into 870 (first three digits) 14 times (since \(60 \times 14 = 840\)) - Subtract 840 from 870: \(870 - 840 = 30\) - Bring down the next digit, 0: 300 - 60 goes into 300 exactly 5 times: \(60 \times 5 = 300\) - Subtract: \(300 - 300 = 0\) **Answer:** \( 8700 \div 60 = 145 \) --- #### **b) \( 34,719 \div 71 \)** **Step 1: Set Up the Division** \[ \begin{array}{r|l} \multicolumn{2}{r}{34719} \\ 71 \big) & \underline{34719} \\ \end{array} \] **Step 2: Divide Step-by-Step** 1. **First Digit (34):** - 71 does not go into 34. Bring down the next digit. 2. **First Two Digits (347):** - 71 goes into 347 four times (since \(71 \times 4 = 284\)) - Subtract: \(347 - 284 = 63\) 3. **Bring Down the Next Digit (1):** - New number: 631 - 71 goes into 631 eight times (since \(71 \times 8 = 568\)) - Subtract: \(631 - 568 = 63\) 4. **Bring Down the Next Digit (9):** - New number: 639 - 71 goes into 639 nine times (since \(71 \times 9 = 639\)) - Subtract: \(639 - 639 = 0\) **Step 3: Compile the Answer** The quotient is 489 with no remainder. **Answer:** \( 34,719 \div 71 = 489 \) --- #### **c) \( 208,640 \div 160 \)** **Step 1: Simplify the Division** Both numbers are divisible by 10: \[ 208,640 \div 160 = 20,864 \div 16 \] **Step 2: Perform the Division** \[ 16 \) 20864 \(\div 16\) = 1304 \] **But let’s verify step-by-step:** 1. **Divide 208,640 by 160 directly:** - \(160 \times 1304 = 208,640\) **Answer:** \( 208,640 \div 160 = 1,304 \) --- #### **d) Incomplete Problem** It seems like part d) of Problem 8 is incomplete. You mentioned "d) 102" without a complete division expression. Could you please provide the full division problem for part d) so I can assist you accurately? --- Feel free to ask if you have any more questions or need further clarification on these problems!