Multiply 789 and 75 using the standard algorithm. What is the product?
789
x 75
-------
4734 (789 x 5)
+3945 (789 x 70)
-------
59325 (Partial products added together)
The product of 789 and 75 using the standard algorithm is 59,325.
59175
To multiply 789 and 75 using the standard algorithm, follow these step-by-step instructions:
Step 1: Write down the given numbers vertically, lining up the rightmost digits:
789
× 75
________________
Step 2: Multiply the digit in the ones place of the bottom number (5) by each digit in the top number (789) and write down the results:
789
× 75
_______
3945
Step 3: Shift the bottom number one place to the left and write a zero in the ones place of the product:
789
× 75
_______
3945
+ 0000
Step 4: Multiply the digit in the tens place of the bottom number (7) by each digit in the top number (789) and write down the results, shifting it two places to the left:
789
× 75
_______
3945
+ 00000
+ 59160
Step 5: Add up the partial products:
789
× 75
_______
3945
+ 00000
+ 59160
________
59175
Therefore, the product of 789 and 75 using the standard algorithm is 59,175.
To multiply 789 and 75 using the standard algorithm, we line up the numbers vertically and multiply each digit in the bottom number (75) with each digit in the top number (789). We then add up the partial products to get the final result.
7 8 9
× 7 5
----------
5 3 3 5 (partial product: 789 × 5)
3 9 1 2 (partial product: 789 × 70)
+ 5 8 3 5 (partial product: 789 × 700)
----------
5 9 1 7 5 (final product)
Therefore, the product of 789 and 75 is 59,175.