Question

multiplying and dividing integers
compute.

1. $-5 \times 7$
2. $18 \div (-6)$
3. $14 \times (-2)$
4. $-5 \times (-11)$
5. $\frac{-15}{3}$
6. $7(-4)$
7. $-42 \div (-3)$
8. $\frac{36}{-12}$
9. $40 \div (-5)$
10. $-9(8)$
11. $(-8)(-3)$
12. $\frac{-24}{-3}$
13. $-30 \times (-4)$
14. $-48 \div 16$
15. $15(-4)$
16. $24 \div (-8)$
17. $-90 \div (-5)$
18. $\frac{-40}{-20}$
19. $-12 \times -3$
20. $(-9)(5)$
21. $14 \times -7$
22. $-5(-12)$
23. $\frac{-64}{16}$
24. $\frac{64}{-16}$
25. $15 \times (-5)$
26. $(-3)(-12)$
27. $\frac{-18}{-9}$
28. $12(-4)$
29. $(-5) \times (-13)$
30. $-65 \div 5$

Explanation:

Step1: Solve \(-5 \times 7\)

When multiplying a negative number and a positive number, the result is negative. Multiply the absolute values: \(5 \times 7 = 35\), so \(-5 \times 7 = -35\).

Step2: Solve \(18 \div (-6)\)

When dividing a positive number by a negative number, the result is negative. Divide the absolute values: \(18 \div 6 = 3\), so \(18 \div (-6) = -3\).

Step3: Solve \(14 \times (-2)\)

Multiplying a positive and a negative number gives a negative result. \(14 \times 2 = 28\), so \(14 \times (-2) = -28\).

Step4: Solve \(-5 \times (-11)\)

Multiplying two negative numbers gives a positive result. \(5 \times 11 = 55\), so \(-5 \times (-11) = 55\).

Step5: Solve \(\frac{-15}{3}\)

Dividing a negative number by a positive number gives a negative result. \(15 \div 3 = 5\), so \(\frac{-15}{3} = -5\).

Step6: Solve \(7(-4)\) (which is \(7 \times (-4)\))

Multiplying positive and negative gives negative. \(7 \times 4 = 28\), so \(7(-4) = -28\).

Step7: Solve \(-42 \div (-3)\)

Dividing two negative numbers gives positive. \(42 \div 3 = 14\), so \(-42 \div (-3) = 14\).

Step8: Solve \(\frac{36}{-12}\)

Dividing positive by negative gives negative. \(36 \div 12 = 3\), so \(\frac{36}{-12} = -3\).

Step9: Solve \(40 \div (-5)\)

Dividing positive by negative gives negative. \(40 \div 5 = 8\), so \(40 \div (-5) = -8\).

Step10: Solve \(-9(8)\) (which is \(-9 \times 8\))

Multiplying negative and positive gives negative. \(9 \times 8 = 72\), so \(-9(8) = -72\).

Step11: Solve \((-8)(-3)\)

Multiplying two negatives gives positive. \(8 \times 3 = 24\), so \((-8)(-3) = 24\).

Step12: Solve \(\frac{-24}{-3}\)

Dividing two negatives gives positive. \(24 \div 3 = 8\), so \(\frac{-24}{-3} = 8\).

Step13: Solve \(-30 \times (-4)\)

Multiplying two negatives gives positive. \(30 \times 4 = 120\), so \(-30 \times (-4) = 120\).

Step14: Solve \(-48 \div 16\)

Dividing negative by positive gives negative. \(48 \div 16 = 3\), so \(-48 \div 16 = -3\).

Step15: Solve \(15(-4)\) (which is \(15 \times (-4)\))

Multiplying positive and negative gives negative. \(15 \times 4 = 60\), so \(15(-4) = -60\).

Step16: Solve \(24 \div (-8)\)

Dividing positive by negative gives negative. \(24 \div 8 = 3\), so \(24 \div (-8) = -3\).

Step17: Solve \(-90 \div (-5)\)

Dividing two negatives gives positive. \(90 \div 5 = 18\), so \(-90 \div (-5) = 18\).

Step18: Solve \(\frac{-40}{-20}\)

Dividing two negatives gives positive. \(40 \div 20 = 2\), so \(\frac{-40}{-20} = 2\).

Step19: Solve \(-12 \times -3\)

Multiplying two negatives gives positive. \(12 \times 3 = 36\), so \(-12 \times -3 = 36\).

Step20: Solve \((-9)(5)\)

Multiplying negative and positive gives negative. \(9 \times 5 = 45\), so \((-9)(5) = -45\).

Step21: Solve \(14 \times -7\)

Multiplying positive and negative gives negative. \(14 \times 7 = 98\), so \(14 \times -7 = -98\).

Step22: Solve \(-5(-12)\)

Multiplying two negatives gives positive. \(5 \times 12 = 60\), so \(-5(-12) = 60\).

Step23: Solve \(\frac{-64}{16}\)

Dividing negative by positive gives negative. \(64 \div 16 = 4\), so \(\frac{-64}{16} = -4\).

Step24: Solve \(\frac{64}{-16}\)

Dividing positive by negative gives negative. \(64 \div 16 = 4\), so \(\frac{64}{-16} = -4\).

Step25: Solve \(15 \times (-5)\)

Multiplying positive and negative gives negative. \(15 \times 5 = 75\), so \(15 \times (-5) = -75\).

Step26: Solve \((-3)(-12)\)

Multiplying two negatives gives positive. \(3 \times 12 = 36\), so \((-3)(-12) = 36\).

Step27: Solve \(\frac{-18}{-9}\)

Dividing two negatives gives positive. \(18 \div 9 = 2\), so \(\frac{-18}{-9} = 2\).

Step28: Solve \(12(-4)\)

Multiplying positive and negative gives negative. \(12 \times 4 = 48\), so \(12(-4) = -48\).

Step29: Solve \((-5) \times (-13)\)

Multiplying two negatives gives positive. \(5 \times 13 = 65\), so \((-5) \times (-13) = 65\).

Step30: Solve \(-65 \div 5\)

Dividing negative by positive gives negative. \(65 \div 5 = 13\), so \(-65 \div 5 = -13\).

Answer:

1. \(-35\)
2. \(-3\)
3. \(-28\)
4. \(55\)
5. \(-5\)
6. \(-28\)
7. \(14\)
8. \(-3\)
9. \(-8\)
10. \(-72\)
11. \(24\)
12. \(8\)
13. \(120\)
14. \(-3\)
15. \(-60\)
16. \(-3\)
17. \(18\)
18. \(2\)
19. \(36\)
20. \(-45\)
21. \(-98\)
22. \(60\)
23. \(-4\)
24. \(-4\)
25. \(-75\)
26. \(36\)
27. \(2\)
28. \(-48\)
29. \(65\)
30. \(-13\)