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B. Find the product of each of the following: 1. \( +4 x+3= \) 2. \( 0 \times-15= \) 3. \( +34 \times-27= \) 4. \( -2 x+9= \) 5. \( 0 x+17= \) 6. \( +78 \times-87= \) 7. \( +8 \times-5= \) 8. \( -12 \times-14= \) 9. \( +25 x+25= \) 10. \( +3 \times(+8++9)= \) 11. \( (-4--9) x+12= \) 12. \( (+2+-3) \times(+7--7)= \) 13. \( -4 \times(-10+-15)= \) 14. \( (+7-+13) \times-17= \) 15. \( (-9+-5) \times(-9--6)= \) 16. \( (+2-8) \times-27= \) 17. \( (-2++3) \times(+11--1)= \) 18. \( (+2-8) \times-27= \)

Ask by Bowman Bright. in the Philippines
Feb 10,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

1. 12 2. 0 3. -918 4. -18 5. 0 6. -6786 7. -40 8. 168 9. 625 10. 51 11. 60 12. -14 13. 100 14. 102 15. 42 16. 162 17. 12 18. 162

Solution

Below are the step‐by‐step calculations for each item: 1. (+4 x +3)   Calculation: 4 × 3 = 12 2. (0 × -15)   Calculation: 0 × (-15) = 0 3. (+34 × -27)   Calculation: 34 × (-27) = -918   (Note: 34×27 = (30×27)+(4×27) = 810+108 = 918; with a negative sign, -918.) 4. (-2 x +9)   Calculation: -2 × 9 = -18 5. (0 x +17)   Calculation: 0 × 17 = 0 6. (+78 × -87)   Calculation: 78 × 87 = 6786, so 78 × (-87) = -6786   (You can compute 78×87 by: (80×87) - (2×87) = 6960 - 174 = 6786.) 7. (+8 × -5)   Calculation: 8 × (-5) = -40 8. (-12 × -14)   Calculation: (-12) × (-14) = 168   (Remember: a negative times a negative is positive.) 9. (+25 x +25)   Calculation: 25 × 25 = 625 10. (+3 × (+8++9))   Inside the parentheses: +8 + +9 = 8 + 9 = 17   Then: 3 × 17 = 51 11. ((-4--9) x +12)   Inside the parentheses: -4 - (-9) = -4 + 9 = 5   Then: 5 × 12 = 60 12. ((+2+-3) × (+7--7))   Inside the first parentheses: 2 + (-3) = -1   Inside the second parentheses: 7 - (-7) = 7 + 7 = 14   Then: (-1) × 14 = -14 13. (-4 × (-10+-15))   Inside the parentheses: -10 + (-15) = -25   Then: -4 × (-25) = 100 14. ((+7-+13) × -17)   Inside the parentheses: 7 - 13 = -6   Then: (-6) × (-17) = 102 15. ((-9+-5) × (-9--6))   Inside the first parentheses: -9 + (-5) = -14   Inside the second parentheses: -9 - (-6) = -9 + 6 = -3   Then: (-14) × (-3) = 42 16. ((+2-8) × -27)   Inside the parentheses: 2 - 8 = -6   Then: (-6) × (-27) = 162 17. ((-2++3) × (+11--1))   Inside the first parentheses: -2 + 3 = 1   Inside the second parentheses: 11 - (-1) = 11 + 1 = 12   Then: 1 × 12 = 12 18. ((+2-8) × -27)   This is the same as item 16.   Calculation: 2 - 8 = -6, then (-6) × (-27) = 162 Summary of Answers: 1. 12 2. 0 3. -918 4. -18 5. 0 6. -6786 7. -40 8. 168 9. 625 10. 51 11. 60 12. -14 13. 100 14. 102 15. 42 16. 162 17. 12 18. 162

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The Deep Dive

Sure! Let's solve each of these products step by step: 1. \( +4 \times +3 = +12 \) 2. \( 0 \times -15 = 0 \) 3. \( +34 \times -27 = -918 \) 4. \( -2 \times +9 = -18 \) 5. \( 0 \times +17 = 0 \) 6. \( +78 \times -87 = -6786 \) 7. \( +8 \times -5 = -40 \) 8. \( -12 \times -14 = +168 \) 9. \( +25 \times +25 = +625 \) 10. \( +3 \times (+8 + +9) = +3 \times +17 = +51 \) 11. \( (-4 - -9) \times +12 = (+5) \times +12 = +60 \) 12. \( (+2 + -3) \times (+7 - -7) = (-1) \times (+14) = -14 \) 13. \( -4 \times (-10 + -15) = -4 \times -25 = +100 \) 14. \( (+7 - +13) \times -17 = (-6) \times -17 = +102 \) 15. \( (-9 + -5) \times (-9 - -6) = (-14) \times (-3) = +42 \) 16. \( (+2 - 8) \times -27 = (-6) \times -27 = +162 \) 17. \( (-2 + +3) \times (+11 - -1) = (+1) \times (+12) = +12 \) 18. \( (+2 - 8) \times -27 = (-6) \times -27 = +162 \) Let me know if you'd like to dive into any of these further!

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