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
7 x 420 = 7(400 + 20) = 7 * 400 + 7 * 20.
(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!
The DISTRIBUTIVE property is a property of multiplication over addition (or subtraction). In symbolic terms, it states that a * (b + c) = a * b + a * c
7 x 23 = (7 x 20) + (7 x 3)
7 x 86 does not HAVE a distributive property. The distributive property of multiplication can be used to calulate 7 x 86 as 7 x 86 = 7 x 80 + 7 x 6
You need three numbers to apply a distributive property.
The distributive property refers to a property of TWO binary operations - usually of multiplication and addition - not just one operation. Consequently, 7*420 does not have a distributive property.
distributive
7 x 400 + 7 x 20 _________ 2940
-7-(3v-x+5)
7 x 420 = (7 x 400) + (7 x 20)
(6 x 7) + (6 x 16) = 6 x 23 = 138
40 x 27 does not exhibit the distributive property.
7 x 420 = 7(400 + 20) = 7 * 400 + 7 * 20.
(7 x 60) + (7 x 5) = 420 + 35 = 455