6 — Multi-Digit Multiplication

Multi-Digit Multiplication

Solution & Explanation · ID: DCE2D58E

Question

58 × 24

Hint

Remember to carry when multiplying and use placeholder zeros

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

1,392

Show Solution
1

Set up the multiplication vertically with 58 on top and 24 below it.

2

Multiply 58 by 4 (the ones digit): 58 × 4 = 232. Write 232 as the first partial product.

3

Multiply 58 by 2 (the tens digit): 58 × 2 = 116. Since this is in the tens place, it represents 58 × 20 = 1,160. Write 1160 as the second partial product.

4

Add the partial products: 232 + 1,160 = 1,392.

Long multiplication of 58 × 24 shown vertically. Top number 58, bottom number ×24. First partial product 232 (from 58×4). Second partial product 1160 (from 58×20). Final sum 1392 with digits aligned by place value.