This is a common early math question which is attempting to teach "quick math".
7 x 23 can be described with the distributive property because 23 can be rewritten as "20 + 3"
This means that 7 x 23 can be rewritten as 7 x (20 + 3)
THE 7 DISTRIBUTES TO EACH NUMBER AND MULTIPLIES
(7 x 20)+(7 x 3) --> 140 + 21 = 161
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12
7 x 420 = 7(400 + 20) = 7 * 400 + 7 * 20.
The distributive property states that for any real numbers a, b, and c, a(b + c) = ab + ac. In the case of finding the product of 7 and 65, we can apply the distributive property to break down the multiplication into simpler operations. Therefore, 7 x 65 can be calculated as 7 x (60 + 5) = (7 x 60) + (7 x 5) = 420 + 35 = 455.
7 x 70 + 7 x 8 = 490 = 56 = 546 7 x 78 = 546
You do not need the distributive property for to do that!