6 — Multi-Digit Multiplication

Multi-Digit Multiplication

Solution & Explanation · ID: D0B95AFF

Question

156 × 47

Hint

This is a three-digit times two-digit problem—you'll have 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

7,332

Show Solution
1

Set up the multiplication vertically with 156 on top and 47 below it.

2

Multiply 156 by 7 (the ones digit): 156 × 7 = 1,092. Write 1092 as the first partial product.

3

Multiply 156 by 4 (the tens digit): 156 × 4 = 624. Since this is in the tens place, it represents 156 × 40 = 6,240. Write 6240 as the second partial product.

4

Add the partial products: 1,092 + 6,240 = 7,332.

Long multiplication of 156 × 47 shown vertically. Top number 156, bottom number ×47. First partial product 1092 (from 156×7). Second partial product 6240 (from 156×40). Final sum 7332 with digits aligned by place value.