Final answer:
The product of 9 and 239 calculated via long multiplication is 2151. This is done by multiplying each digit of 239 by 9, carrying over when necessary, and combining the results to find the final product.
Step-by-step explanation:
The question asks us to find the product of 9 and 239 using an algorithm. An algorithm in this context refers to the set of steps we use to perform multiplication in the conventional manner known as long multiplication. Here is how you can calculate the product step-by-step:
- Write down the number 239 and place the number 9 underneath it, aligning the units digits.
- Multiply the units digit of the upper number (9) by the units digit of the lower number (9) to get 81. Write the 1 below the line of calculation and carry over the 8.
- Multiply the 9 by the tens digit of the upper number (3) which gives 27, then add the carried over 8 to get 35. Write the 5 next to the 1 and carry over the 3.
- Multiply the 9 by the hundreds digit of the upper number (2) to get 18, then add the carried over 3 to get 21. Write this down to complete the multiplication.
- The final product is the combination of the numbers you wrote down: 2151.
Therefore, the product of 9 and 239 using the algorithm is 2151.