Multiply 789 and 75 using the standard algorithm. What is the product?(1 point)
Responses
59,175
59,175
56,975
56,975
9,468
9,468
58,175
The product of 789 and 75 using the standard algorithm is 59,175.
To multiply 789 and 75 using the standard algorithm, follow these steps:
Step 1: Write down the numbers vertically, with the larger number at the top and the smaller number at the bottom:
789
× 75
Step 2: Start with the ones place of the bottom number (5) and calculate 789 multiplied by 5:
789
× 75
-----
3945 (5 multiplied by 789)
Step 3: Move to the tens place of the bottom number (7) and calculate 789 multiplied by 7. Write the number under the previous result, shifted one place to the left:
789
× 75
-----
3945
5523 (7 multiplied by 789)
Step 4: Finally, add the two partial products together:
789
× 75
-----
3945
+ 5523
-----
59175
Therefore, the product of 789 and 75 using the standard algorithm is 59,175.
To multiply 789 and 75 using the standard algorithm, you follow these steps:
Step 1: Write the larger number (789) on the top and the smaller number (75) underneath it, with a line separating the two.
789
× 75
______
Step 2: Multiply the ones digit of the bottom number (5) by the top number (789) and write the result underneath, shifted one place to the left.
789
× 75
__________
3945
Step 3: Multiply the tens digit of the bottom number (7) by the top number (789). Write the result underneath, shifted two places to the left.
789
× 75
__________
3945
+5523
_______
Step 4: Multiply the hundreds digit of the bottom number (0) by the top number (789). Write the result underneath, shifted three places to the left.
789
× 75
__________
3945
+5523
+1578
_______
Step 5: Add up the partial products.
789
× 75
__________
3945
+5523
+1578
_______
59175
Therefore, the product of 789 and 75 using the standard algorithm is 59,175.