Multiply using expanded forms and distibutive law 45*7 56*7 145*2 415*6

To multiply 45*7, we'll write the expanded form of
45:

45 = 40 + 5

We'll re-write
the multiplication:

45*7 =
(40+5)*7

We'll use the distributive
law:

(40+5)*7 = 40*7 +
5*7

40*7 + 5*7 = 280 + 35

40*7
+ 5*7 = 315

45*7 =
315

We'll do the same steps for the
multiplication:

56*7

We'll
write the expanded form of 56:

56 =
(50+6)

We'll re-write the
multiplication:

(50+6)*7

We'll
use the distributive law:

(50+6)*7 = 50*7 +
6*7

(50+6)*7 = 350 +
42

(50+6)*7 =
392

56*7 =
392

We'll do the same steps for the
multiplication:

145*2

We'll
write the expanded form of 145:

145 = 100 + 40 +
5

We'll re-write the
multiplication:

(100 + 40 +
5)*2

We'll use the distributive
law:

(100 + 40 + 5)*2 = 100*2 + 40*2 +
5*2

(100 + 40 + 5)*2 = 200 + 80 +
10

(100 + 40 + 5)*2 =
290

145*2=
290

We'll write the expanded form of
415:

415 = 400 + 10 + 5

We'll
re-write the multiplication:

(400 + 10 +
5)*6

We'll use the distributive
law:

(400 + 10 + 5)*6 = 400*6 + 10*6 +
5*6

(400 + 10 + 5)*6 = 2400 + 60 +
30

(400 + 10 + 5)*6 =
2490

415*6 =
2490