Find each of the following products:

(i) [tex]3 \times 4 \times (-5)[/tex]

(ii) [tex]2 \times (-5) \times (-6)[/tex]

(iii) [tex](-5) \times (-8) \times (-3)[/tex]

(iv) [tex](-6) \times 6 \times (-10)[/tex]

(v) [tex]7 \times (-8) \times 3[/tex]

(vi) [tex](-7) \times (-3) \times 4[/tex]



Answer :

Sure, let's find each of the given products step by step:

(i) [tex]\(3 \times 4 \times (-5)\)[/tex]
First, multiply [tex]\(3\)[/tex] by [tex]\(4\)[/tex]:
[tex]\[3 \times 4 = 12\][/tex]
Next, multiply the result by [tex]\(-5\)[/tex]:
[tex]\[12 \times (-5) = -60\][/tex]
So, [tex]\(3 \times 4 \times (-5) = -60\)[/tex].

(ii) [tex]\(2 \times (-5) \times (-6)\)[/tex]
First, multiply [tex]\(2\)[/tex] by [tex]\(-5\)[/tex]:
[tex]\[2 \times (-5) = -10\][/tex]
Next, multiply the result by [tex]\(-6\)[/tex]:
[tex]\[-10 \times (-6) = 60\][/tex]
So, [tex]\(2 \times (-5) \times (-6) = 60\)[/tex].

(iii) [tex]\((-5) \times (-8) \times (-3)\)[/tex]
First, multiply [tex]\(-5\)[/tex] by [tex]\(-8\)[/tex]:
[tex]\[-5 \times (-8) = 40\][/tex]
Next, multiply the result by [tex]\(-3\)[/tex]:
[tex]\[40 \times (-3) = -120\][/tex]
So, [tex]\((-5) \times (-8) \times (-3) = -120\)[/tex].

(iv) [tex]\((-6) \times 6 \times (-10)\)[/tex]
First, multiply [tex]\(-6\)[/tex] by [tex]\(6\)[/tex]:
[tex]\[-6 \times 6 = -36\][/tex]
Next, multiply the result by [tex]\(-10\)[/tex]:
[tex]\[-36 \times (-10) = 360\][/tex]
So, [tex]\((-6) \times 6 \times (-10) = 360\)[/tex].

(v) [tex]\(7 \times (-8) \times 3\)[/tex]
First, multiply [tex]\(7\)[/tex] by [tex]\(-8\)[/tex]:
[tex]\[7 \times (-8) = -56\][/tex]
Next, multiply the result by [tex]\(3\)[/tex]:
[tex]\[-56 \times 3 = -168\][/tex]
So, [tex]\(7 \times (-8) \times 3 = -168\)[/tex].

(vi) [tex]\((-7) \times (-3) \times 4\)[/tex]
First, multiply [tex]\(-7\)[/tex] by [tex]\(-3\)[/tex]:
[tex]\[-7 \times (-3) = 21\][/tex]
Next, multiply the result by [tex]\(4\)[/tex]:
[tex]\[21 \times 4 = 84\][/tex]
So, [tex]\((-7) \times (-3) \times 4 = 84\)[/tex].

Thus, the final results are:
(i) [tex]\(-60\)[/tex], (ii) [tex]\(60\)[/tex], (iii) [tex]\(-120\)[/tex], (iv) [tex]\(360\)[/tex], (v) [tex]\(-168\)[/tex], (vi) [tex]\(84\)[/tex].