6 — Multi-Digit Multiplication

Multi-Digit Multiplication

Solution & Explanation · ID: 4CB6D526

Question

32 × 15

Hint

Use the standard algorithm with two 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

480

Show Solution
1

Set up the multiplication vertically with 32 on top and 15 below it.

2

Multiply 32 by 5 (the ones digit): 32 × 5 = 160. Write 160 as the first partial product.

3

Multiply 32 by 1 (the tens digit): 32 × 1 = 32. Since this is in the tens place, it represents 32 × 10 = 320. Write 320 as the second partial product.

4

Add the partial products: 160 + 320 = 480.

Long multiplication of 32 × 15 shown vertically. Top number 32, bottom number ×15. First partial product 160 (from 32×5). Second partial product 320 (from 32×10). Final sum 480 with digits aligned by place value.