1. Find each of the following products:
- (i) [tex](-1) \times 385[/tex]
- (ii) [tex](-22) \times (-30)[/tex]
- (iii) [tex](-1) \times (-798)[/tex]
- (iv) [tex](-22) \times (-10) \times 9[/tex]
- (v) [tex](-15) \times (-8) \times 0[/tex]
- (vi) [tex](-2) \times (-3) \times (-4) \times (-6)[/tex]
- (vii) [tex](-30) \times (-2) \times (-5) \times 7[/tex]
- (viii) [tex](-18) \times (-5) \times (-6)[/tex]



Answer :

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

1. Find each of the following products:

### (i) [tex]\( (-1) \times 385 \)[/tex]
Multiply [tex]\(-1\)[/tex] by [tex]\(385\)[/tex]:
[tex]\[ (-1) \times 385 = -385 \][/tex]
So, the product is [tex]\(-385\)[/tex].

### (ii) [tex]\( (-22) \times (-30) \)[/tex]
Multiply [tex]\(-22\)[/tex] by [tex]\(-30\)[/tex]:
When two negative numbers are multiplied, the result is positive:
[tex]\[ -22 \times -30 = 660 \][/tex]
So, the product is [tex]\(660\)[/tex].

### (iii) [tex]\( (-1) \times (-798) \)[/tex]
Multiply [tex]\(-1\)[/tex] by [tex]\(-798\)[/tex]:
When two negative numbers are multiplied, the result is positive:
[tex]\[ -1 \times -798 = 798 \][/tex]
So, the product is [tex]\(798\)[/tex].

### (iv) [tex]\( (-22) \times (-10) \times 9 \)[/tex]
Multiply the numbers step by step:
First, multiply [tex]\(-22\)[/tex] by [tex]\(-10\)[/tex] (two negative numbers give a positive result):
[tex]\[ -22 \times -10 = 220 \][/tex]
Now multiply the result by [tex]\(9\)[/tex]:
[tex]\[ 220 \times 9 = 1980 \][/tex]
So, the product is [tex]\(1980\)[/tex].

### (v) [tex]\( (-15) \times (-8) \times 0 \)[/tex]
Here, any number multiplied by [tex]\(0\)[/tex] is [tex]\(0\)[/tex]:
[tex]\[ -15 \times -8 \times 0 = 0 \][/tex]
So, the product is [tex]\(0\)[/tex].

### (vi) [tex]\( (-2) \times (-3) \times (-4) \times (-6) \)[/tex]
Multiply the numbers step by step:
First, multiply [tex]\(-2\)[/tex] by [tex]\(-3\)[/tex] (two negative numbers give a positive result):
[tex]\[ -2 \times -3 = 6 \][/tex]
Next, multiply [tex]\(6\)[/tex] by [tex]\(-4\)[/tex]:
[tex]\[ 6 \times -4 = -24 \][/tex]
Finally, multiply [tex]\(-24\)[/tex] by [tex]\(-6\)[/tex]:
[tex]\[ -24 \times -6 = 144 \][/tex]
So, the product is [tex]\(144\)[/tex].

### (vii) [tex]\( (-30) \times (-2) \times (-5) \times 7 \)[/tex]
Multiply the numbers step by step:
First, multiply [tex]\(-30\)[/tex] by [tex]\(-2\)[/tex] (two negative numbers give a positive result):
[tex]\[ -30 \times -2 = 60 \][/tex]
Next, multiply [tex]\(60\)[/tex] by [tex]\(-5\)[/tex]:
[tex]\[ 60 \times -5 = -300 \][/tex]
Finally, multiply [tex]\(-300\)[/tex] by [tex]\(7\)[/tex]:
[tex]\[ -300 \times 7 = -2100 \][/tex]
So, the product is [tex]\(-2100\)[/tex].

### (viii) [tex]\( (-18) \times (-5) \times (-6) \)[/tex]
Multiply the numbers step by step:
First, multiply [tex]\(-18\)[/tex] by [tex]\(-5\)[/tex] (two negative numbers give a positive result):
[tex]\[ -18 \times -5 = 90 \][/tex]
Next, multiply [tex]\(90\)[/tex] by [tex]\(-6\)[/tex]:
[tex]\[ 90 \times -6 = -540 \][/tex]
So, the product is [tex]\(-540\)[/tex].

Therefore, the product results are:
(i) [tex]\(-385\)[/tex]
(ii) [tex]\(660\)[/tex]
(iii) [tex]\(798\)[/tex]
(iv) [tex]\(1980\)[/tex]
(v) [tex]\(0\)[/tex]
(vi) [tex]\(144\)[/tex]
(vii) [tex]\(-2100\)[/tex]
(viii) [tex]\(-540\)[/tex]