6 — Multi-Digit Multiplication

Multi-Digit Multiplication

Solution & Explanation · ID: 5EAAA20F

Question

24 × 13

Hint

Use partial products by breaking 13 into 10 + 3

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

312

Show Solution
1

Set up the multiplication vertically with 24 on top and 13 below it.

2

Multiply 24 by 3 (the ones digit): 24 × 3 = 72. Write 72 as the first partial product.

3

Multiply 24 by 1 (the tens digit): 24 × 1 = 24. Since this is in the tens place, it represents 24 × 10 = 240. Write 240 as the second partial product.

4

Add the partial products: 72 + 240 = 312.

Long multiplication of 24 × 13 shown vertically. Top number 24, bottom number ×13. First partial product 72 (from 24×3). Second partial product 240 (from 24×10). Final sum 312 with digits aligned by place value.