Answer :
Let's find the products for each of the given pairs of numbers. We will multiply them step-by-step to ensure clarity.
(a) 15 x 7:
To find the product of 15 and 7, we can perform the multiplication directly.
[tex]15 \times 7 = 105[/tex]
So, 15 multiplied by 7 equals 105.
(b) 23 x 87:
We use the traditional multiplication method for this calculation:
[tex]23 \times 87 = 2001[/tex]
By breaking it down:
[tex]23 \times 87 = (20 + 3) \times (80 + 7)[/tex]
[tex]= 20 \times 80 + 20 \times 7 + 3 \times 80 + 3 \times 7[/tex]
[tex]= 1600 + 140 + 240 + 21 = 2001[/tex]
(c) 128 x 43:
For this, we'll also do step-by-step multiplication:
[tex]128 \times 43 = 5504[/tex]
Breaking it down:
[tex]128 \times 43 = (100 + 20 + 8) \times (40 + 3)[/tex]
[tex]= 100 \times 40 + 100 \times 3 + 20 \times 40 + 20 \times 3 + 8 \times 40 + 8 \times 3[/tex]
[tex]= 4000 + 300 + 800 + 60 + 320 + 24 = 5504[/tex]
(d) 1358 x 6:
Directly multiply 1358 by 6:
[tex]1358 \times 6 = 8148[/tex]
Break it down for clarity:
[tex]1358 \times 6 = (1000 + 300 + 50 + 8) \times 6[/tex]
[tex]= 1000 \times 6 + 300 \times 6 + 50 \times 6 + 8 \times 6[/tex]
[tex]= 6000 + 1800 + 300 + 48 = 8148[/tex]
(e) 643 x 1:
When multiplying any number by 1, the product is the number itself:
[tex]643 \times 1 = 643[/tex]
So, 643 multiplied by 1 equals 643.
In summary, the products are:
(a) 105
(b) 2001
(c) 5504
(d) 8148
(e) 643