Multi-Digit Multiplication
Solution & Explanation · ID: F19FDAEC
Question
307 × 246
Hint
Be careful with the zero in the middle of 307—it affects your partial products
Concept
Multi-digit multiplication uses the standard algorithm where we multiply each digit of one number by each digit of the other number, keeping track of place values.
Show Answer
75,522
Show Solution
Set up the multiplication vertically with 307 on top and 246 below it.
Multiply 307 by 6 (the ones digit): 307 × 6 = 1,842. Write 1842 as the first partial product.
Multiply 307 by 4 (the tens digit): 307 × 4 = 1,228. Since this is in the tens place, it represents 307 × 40 = 12,280. Write 12280 as the second partial product.
Multiply 307 by 2 (the hundreds digit): 307 × 2 = 614. Since this is in the hundreds place, it represents 307 × 200 = 61,400. Write 61400 as the third partial product.
Add all partial products: 1,842 + 12,280 + 61,400 = 75,522.
