Multiply in parts

Split a number into useful parts, then add the products.

Use a number you know

4 rows: 10 squares + 2 more in each row.

To work out 12 × 4, split 12 into 10 + 2. Multiply both parts by 4, then add them.

The picture keeps all four rows. Only the columns are split.

Lesson help

For another product, split one factor into convenient parts, multiply each, and add.

About this lesson

Try the method in a practice when you are ready.

Report

Use a number you know

To work out 12 × 4, split 12 into 10 + 2. Multiply both parts by 4, then add them.

The picture keeps all four rows. Only the columns are split.

4 rows: 10 squares + 2 more in each row.

Multiply both parts, then add

12 × 4

= (10 × 4) + (2 × 4)

= 40 + 8

= 48

The smaller part is also multiplied by 4. Adding only 2 would leave out three of the four rows.

4 rows: 10 squares + 2 more in each row.

Try one more column

Now try 13 × 4. Split 13 into 10 + 3, multiply each part by 4, and add.

Fractions, decimals and negatives

Work through the operations in order. Keep fractions exact and preserve negative signs.

(3/4 + 1/2) × 2 − 3 = 5/4 × 2 − 3 = 5/2 − 3 = −1/2

Work back to the missing number

Work backward from the final value: undo each step in reverse order to find the missing number, then substitute it to check.

(3/4 + □) × 2 − 1 = 3/2

3/2 + 1 = 5/2; 5/2 ÷ 2 = 5/4; 5/4 − 3/4 = 2/4 = 1/2

4 rows: 10 squares + 3 more in each row.

Try it

What is 13 × 4?

  1. 52
  2. 44
Show the answer

52

(10 × 4) + (3 × 4) = 40 + 12 = 52. You included all three extra columns in all four rows.

Enable JavaScript to answer interactively and save your place.

Practice Mental math

Sign in free

Practice without limits and keep your progress.