In this long multiplication, 1.4 has a digit (4) after a decimal point (.).

## A Real Example of How to Do Long Multiplication with Decimals

Doing long multiplication with decimals is easy.## Question

Multiply the numbers below.## Step-by-Step:

## 1

Write the numbers you wish to multiply, one underneath the other.

*ignore*the decimal point at first and do a long multiplication as normal.

## 2

Find the right most digit of the bottom number (in the units column).

## 3

Find the right most digit of the top number (in the units column).

## 4

Multiply the bottom digit (4) with the top digit (5).

5 × 4 = 20

## 5

Check if the answer from

**Step 4**is 9 or less:**No**.**20**is*not*9 or less.- If
**No**, the answer will have two digits.

- Write the digit on the right underneath the column (beneath the line).

*Carry*the left digit to the column to the left.

## 6

Move a digit to the left in the top number.

## 7

- Multiply the bottom digit (4) with the top digit (2).
2 × 4 = 8

- Add any
*carried*numbers to the answer.8 + 2 = 10

## 8

Check if the answer from

**Step 7**is 9 or less:**No**.**10**is*not*9 or less.- If
**No**, the answer will have two digits.

- Write the digit on the right underneath the column (beneath the line).

*Carry*the left digit to the column to the left.

## 9

Move a digit to the left in the top number.
There are no more digits to the left.

## 10

Write the carried digit underneath the line.

## 11

Write a

**0**on the right in a new row underneath the line.## 12

Move a digit to the left in the bottom number (in the tens column).

## 13

Find the right most digit of the top number (in the units column).

## 14

Multiply the bottom digit (1) with the top digit (5).

5 × 1 = 5

## 15

Check if the answer from

**Step 4**is 9 or less:**Yes**.**5***is*9 or less.- If
**Yes**, write the number beneath the line, to the left of the 0.

## 16

Move a digit to the left in the top number.

## 17

Multiply the bottom digit (1) with the top digit (2).

2 × 1 = 2

## 18

Check if the answer from

**Step 17**is 9 or less:**Yes**.**2***is*9 or less.- If
**Yes**, write the number below beneath the line.

## 19

Move a digit to the left in the top number.
There are no more digits to the left.

## 20

Use long addition to add the two numbers beneath the line.

## 21

Count the number of digits after the decimal point.
There is

**1**digit after the decimal point (a 4).## 22

Ensure there are as many digits after the decimal point (1) in the answer (350).
There is

**1**digit after the decimal point (a 4).## Answer:

The solution to 25 × 1.4 is 35.## Parts of an Multiplication

- The numbers you multiply together are
**factors**. - The result of multiplying the numbers is the
**product**.

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