Explain how to find 14 x 19 by breaking apart the factors into tens and ones and finding the sum of the four partial products
14 = 10 + 4
19 = 20 - 1
14*19 = (10+4)(20-1) = 200 + 80 -10 -4 = 266
10+4=14
20-1=19
19*14=266
(10+4)*(10+9)
10+4=14
10+9=19
14*19=266
To find the product of 14 multiplied by 19 by breaking apart the factors into tens and ones and finding the sum of the four partial products, you can follow these steps:
Step 1: Break down the numbers into tens and ones:
- 14 can be split into 10 and 4.
- 19 can be split into 10 and 9.
Step 2: Calculate the four partial products:
- Multiply the tens of both factors: 10 × 10 = 100.
- Multiply the tens of one factor with the ones of the other: 10 × 9 = 90.
- Multiply the ones of one factor with the tens of the other: 4 × 10 = 40.
- Multiply the ones of both factors: 4 × 9 = 36.
Step 3: Add up the four partial products:
- 100 + 90 + 40 + 36 = 266.
Therefore, the product of 14 multiplied by 19 is 266.