Respuesta :
Answer:
The partial products of 56 x 31 are :
50 × 30 = 1500
50 × 1 = 50
6 × 30 = 180
6 × 1 = 6
Step-by-step explanation:
We have given,
56 x 31
To find partial products of 56 x 31.
We can split 56 = 50 + 6
And 31 = 30 + 1
So, 56 x 31 = (50 + 6)×(30 + 1)
We can get partial products (50 + 6)×(30 + 1) as:
50 × 30 = 1500
50 × 1 = 50
6 × 30 = 180
6 × 1 = 6
These are the partial products of 56 × 31 .
We can sum all the partial products to get final answer for 56 × 31.
i.e 56 × 31 = 1500 + 50 + 180 + 6 = 1736
Answer:
The partial product of 56 × 31 is 1736.
Step-by-step explanation:
Partial product is a method of multiplying two or more digits using distributive property.
Distributive property [tex]a\cdot (b+c)=a\cdot b+a\cdot c[/tex]
Writing 56 as 50 + 6 and 31 as 30 + 1
Then product becomes,
56 × 31
= (50+ 6) × (30 + 1)
Using Property [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]
= (50 × 30) +(50 × 1) +(6 × 30) + (6 × 1)
= 1500 + 50 + 180 + 6
= 1500 +180 + 56
= 1500 + 236
= 1736
Thus, the partial product of 56 × 31 is 1736.
