6 — Multi-Digit Multiplication

Multi-Digit Multiplication

Solution & Explanation · ID: 78D306F3

Question

67 × 89

Hint

Multiply by the ones digit first, then the tens digit with placeholder zero

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

5,963

Show Solution
1

Set up the multiplication vertically with 67 on top and 89 below it.

2

Multiply 67 by 9 (the ones digit): 67 × 9 = 603. Write 603 as the first partial product.

3

Multiply 67 by 8 (the tens digit): 67 × 8 = 536. Since this is in the tens place, it represents 67 × 80 = 5,360. Write 5360 as the second partial product.

4

Add the partial products: 603 + 5,360 = 5,963.

Long multiplication of 67 × 89 shown vertically. Top number 67, bottom number ×89. First partial product 603 (from 67×9). Second partial product 5360 (from 67×80). Final sum 5963 with digits aligned by place value.