Question

What are the partial products of 56 x31

Answer 1

The partial products of 56 x 31 are :

50 × 30 = 1500

50 × 1 = 50

6 × 30 = 180

6 × 1 = 6

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 2

The partial product of 56 × 31 is 1736.

Explanation:

Partial product is a method of multiplying two or more digits using distributive property.

Distributive property
`a\cdot (b+c)=a\cdot b+a\cdot c`

Writing 56 as 50 + 6 and 31 as 30 + 1

Then product becomes,

56 × 31

= (50+ 6) × (30 + 1)

Using Property
`(a+b)(c+d)=ac+ad+bc+bd`

= (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.