To perform the multiplication of 91 by 64 using the expanded algorithm, we break it down as follows:
First, separate the numbers into their place values:
91 = 90 + 1
64 = 60 + 4
Next, multiply each part:
(90 x 60) + (90 x 4) + (1 x 60) + (1 x 4) = 5400 + 360 + 60 + 4.
Finally, add these products together: 5400 + 360 + 60 + 4 = 5724. Thus, 91 x 64 = 5824.
Expanded notation of 64 = (6 x 10) + (4 x 1)
64 = (6 x 10) + (4 x 1)
64 = (6 x 10) + (4 x 1)
I'm not entirely sure I know what you mean by "expanded algorithm" but here is a guess: 31 * 19 = (13 * 9)+(31 * 10) = 117 + 310 = 427
964 = (9 x 100) + (6 x 10) + (4 x 1)
Expanded notation of 64 = (6 x 10) + (4 x 1)
64 = (6 x 10) + (4 x 1)
64 = (6 x 10) + (4 x 1)
I'm not entirely sure I know what you mean by "expanded algorithm" but here is a guess: 31 * 19 = (13 * 9)+(31 * 10) = 117 + 310 = 427
92/2 = 46 46*10 = 460.
33 = 2726 = 647 x 13 = 91
964 = (9 x 100) + (6 x 10) + (4 x 1)
4 to the 3rd power = 64 = (6 x 10) + (4 x 1)
91 x 91 = 8281
2 + 2 x 5 x 6 x 8 x 7 is the algorithm for that
1 x 91, 7 x 13, 13 x 7, 91 x 1 = 91
x - 30% of x = 91 → 70% x = 91 → x = 91÷ 70% = 130