Let's solve each problem step-by-step:
1) [tex]\((-7) \times (-8)\)[/tex]
- When multiplying two negative numbers, the result is positive.
- [tex]\((-7) \times (-8) = 56\)[/tex]
2) [tex]\((-4) \times 5\)[/tex]
- When multiplying a negative number by a positive number, the result is negative.
- [tex]\((-4) \times 5 = -20\)[/tex]
3) [tex]\(5 \times (-11)\)[/tex]
- When multiplying a positive number by a negative number, the result is negative.
- [tex]\(5 \times (-11) = -55\)[/tex]
4) [tex]\((-5) \times (-20)\)[/tex]
- When multiplying two negative numbers, the result is positive.
- [tex]\((-5) \times (-20) = 100\)[/tex]
5) [tex]\(-(2) \times (-8) \times 3\)[/tex]
- First, multiply the two negative numbers: [tex]\((-2) \times (-8) = 16\)[/tex]
- Then, multiply this result by the positive number: [tex]\(16 \times 3 = 48\)[/tex]
- Since there's a negative sign outside the parentheses: [tex]\(-(16 \times 3) = -48\)[/tex]
6) [tex]\((12 - 4) \times (-10)\)[/tex]
- First, solve inside the parentheses: [tex]\(12 - 4 = 8\)[/tex]
- Then, multiply by the negative number: [tex]\(8 \times (-10) = -80\)[/tex]
7) [tex]\(14 \times (-10) \times (-5)\)[/tex]
- First, multiply [tex]\(14\)[/tex] by [tex]\(-10\)[/tex]: [tex]\(14 \times (-10) = -140\)[/tex]
- Then, multiply this result by [tex]\(-5\)[/tex]: [tex]\(-140 \times (-5) = 700\)[/tex]
8) [tex]\((18 + 12) \times (-8)\)[/tex]
- First, solve inside the parentheses: [tex]\(18 + 12 = 30\)[/tex]
- Then, multiply by the negative number: [tex]\(30 \times (-8) = -240\)[/tex]
9) [tex]\(9 \times (-15 + 6) \times 3\)[/tex]
- First, solve inside the parentheses: [tex]\(-15 + 6 = -9\)[/tex]
- Then, multiply [tex]\(9\)[/tex] by [tex]\(-9\)[/tex]: [tex]\(9 \times (-9) = -81\)[/tex]
- Finally, multiply this result by [tex]\(3\)[/tex]: [tex]\(-81 \times 3 = -243\)[/tex]
10) [tex]\((-5) \times (-8) \times (-12)\)[/tex]
- First, multiply [tex]\((-5)\)[/tex] by [tex]\((-8)\)[/tex]: [tex]\((-5) \times (-8) = 40\)[/tex]
- Then, multiply this result by [tex]\((-12)\)[/tex]: [tex]\(40 \times (-12) = -480\)[/tex]
Therefore, the results of each multiplication are:
1. [tex]\(56\)[/tex]
2. [tex]\(-20\)[/tex]
3. [tex]\(-55\)[/tex]
4. [tex]\(100\)[/tex]
5. [tex]\(48\)[/tex]
6. [tex]\(-80\)[/tex]
7. [tex]\(700\)[/tex]
8. [tex]\(-240\)[/tex]
9. [tex]\(-243\)[/tex]
10. [tex]\(-480\)[/tex]
