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It is usually applied in arithmetic to simplify multiplication. For example, find the value of 9*46. Now, my knowledge of the 9 times table does not extend to 46 nines and I certainly do not know the 46 times table but, using the distributive property: 9 * 46 = 9*(40 + 6) = 9*40 + 9*6 [That's the step where the distributive property was used] and, now its easy. I know 9*4 = 36 so 9*40 = 360 and 9*6 = 56 Thus 9 * 46 = 360 + 56 = 416.
3/8 + 5/7 = 21/56 + 40/56 = 61/56 = 1.08928571428571
5/21 + 1/7 = 56/147 or 8/21
25/8 + 63/7 = 21/8 + 45/7 = 147/56 + 360/56 = 507/56 = 93/56
3 2/7 + 6 3/8 = 3 16/56 + 6 21/56 = 9 37/56
56 64 are two positive integers. They do not illustrate the distributive property.
7
8(7 + 4)
568
12*56 Use the distributive property on 12: (10+2)*56 = 10*56 + 2*56 Use the distributive property on 56 twice: 10*(50+6) + 2*(50+6) = 10*50 + 10*6 + 2*50 + 2*6 = 500 + 60 + 100 + 12 = 672
8*37 = 8*(30+7) = 8*30 + 8*7 [that is using the distributive property] = 240 + 56 = 296
The distributive requires three numbers (or elements) and two different mathematical operations. Two numbers are not enough to illustrate it.
The distributive property of multiplication over addition is x*(y + z) = x*y + x*zIt is used in multiplication through chunking.For example, to calculate 4*56, you can break up the 56 into 50+6.Then4*56 = 4*(50 + 6) = 4*50 + 4*6 = 200 + 24 = 224.
7 x 70 + 7 x 8 = 490 = 56 = 546 7 x 78 = 546
3/8 + 5/7 = 21/56 + 40/56 = 61/56 = 1.08928571428571
It is usually applied in arithmetic to simplify multiplication. For example, find the value of 9*46. Now, my knowledge of the 9 times table does not extend to 46 nines and I certainly do not know the 46 times table but, using the distributive property: 9 * 46 = 9*(40 + 6) = 9*40 + 9*6 [That's the step where the distributive property was used] and, now its easy. I know 9*4 = 36 so 9*40 = 360 and 9*6 = 56 Thus 9 * 46 = 360 + 56 = 416.
5/21 + 1/7 = 56/147 or 8/21