**Version:**1.20

**Price:**Free

**Downloadable version:**Full version

**Operating system:**Windows

**Size:**4.48 MB (4594 KB)

**Every donation counts and would be greatly appreciated!**

Please help us continuing developing this and other projects by making a donation. Click on 'Donate' button to use PayPal and securely donate any amount you consider.

Thank you

This example has been taken directly from the solution given by Basic Math Decoded to the formulated problem.

**58.378 × 0.396**

**Place one number above the other aligned to the right. Draw a line under the bottom number. Temporarily disregard the decimal points and multiply the numbers like you would multiply integer numbers.**

58.378

__× 0.396__

**Multiply the number 58378 by the digit 6 and place the answer below the line aligned to the right.**

Multiply the digits 6 and 8 (6 × 8 = 48).

This number is larger than 9, so place the 4 above the column on the left to be added in the next step and place the 8 below the line.

4

58.37

**8**__× 0.39__

__6__**8**

Multiply the digits 6 and 7 (6 × 7 = 42). Add the 4 to the answer which equals 46.

This number is larger than 9, so place the 4 above the column on the left to be added in the next step and place the 6 below the line and to the left of the other digits.

4

**4** 58.3

**7**8__× 0.39__

__6__**6**8

Multiply the digits 6 and 3 (6 × 3 = 18). Add the 4 to the answer which equals 22.

This number is larger than 9, so place the 2 above the column on the left to be added in the next step and place the 2 below the line and to the left of the other digits.

2

**4**4 58.

**3**78__× 0.39__

__6__**2**68

Multiply the digits 6 and 8 (6 × 8 = 48). Add the 2 to the answer which equals 50.

This number is larger than 9, so place the 5 above the column on the left to be added in the next step and place the 0 below the line and to the left of the other digits.

5

**2**44 5

**8**.378__× 0.39__

__6__**0**268

Multiply the digits 6 and 5 (6 × 5 = 30). Add the 5 to the answer which equals 35.

This number is larger than 9, but there are no more columns, so place the answer below the line and to the left of the other digits.

**5**2 44

**5**8.378

__× 0.39__

__6__**35**0268

**Multiply the number 58378 by the digit 9 and place the answer in a new row below the last one, moving one place to the left.**

Multiply the digits 9 and 8 (9 × 8 = 72).

This number is larger than 9, so place the 7 above the column on the left to be added in the next step and place the 2 below the line in the corresponding row.

7

58.37

**8**__× 0.3__

__9____6__

350268

**2**

Multiply the digits 9 and 7 (9 × 7 = 63). Add the 7 to the answer which equals 70.

This number is larger than 9, so place the 7 above the column on the left to be added in the next step and place the 0 below the line in the corresponding row, and to the left of the other digits.

7

**7** 58.3

**7**8__× 0.3__

__9____6__

350268

**0**2

Multiply the digits 9 and 3 (9 × 3 = 27). Add the 7 to the answer which equals 34.

This number is larger than 9, so place the 3 above the column on the left to be added in the next step and place the 4 below the line in the corresponding row, and to the left of the other digits.

3

**7**7 58.

**3**78__× 0.3__

__9____6__

350268

**4**02

Multiply the digits 9 and 8 (9 × 8 = 72). Add the 3 to the answer which equals 75.

This number is larger than 9, so place the 7 above the column on the left to be added in the next step and place the 5 below the line in the corresponding row, and to the left of the other digits.

7

**3**77 5

**8**.378__× 0.3__

__9____6__

350268

**5**402

Multiply the digits 9 and 5 (9 × 5 = 45). Add the 7 to the answer which equals 52.

This number is larger than 9, but there are no more columns, so place the answer below the line in the corresponding row, and to the left of the other digits.

**7**3 77

**5**8.378

__× 0.3__

__9____6__

350268

**52**5402

**Multiply the number 58378 by the digit 3 and place the answer in a new row below the last one, moving one place to the left.**

Multiply the digits 3 and 8 (3 × 8 = 24).

This number is larger than 9, so place the 2 above the column on the left to be added in the next step and place the 4 below the line in the corresponding row.

2

58.37

**8**__× 0.__

__3____96__

350268

525402

**4**

Multiply the digits 3 and 7 (3 × 7 = 21). Add the 2 to the answer which equals 23.

This number is larger than 9, so place the 2 above the column on the left to be added in the next step and place the 3 below the line in the corresponding row, and to the left of the other digits.

2

**2** 58.3

**7**8__× 0.__

__3____96__

350268

525402

**3**4

Multiply the digits 3 and 3 (3 × 3 = 9). Add the 2 to the answer which equals 11.

This number is larger than 9, so place the 1 above the column on the left to be added in the next step and place the 1 below the line in the corresponding row, and to the left of the other digits.

1

**2**2 58.

**3**78__× 0.__

__3____96__

350268

525402

**1**34

Multiply the digits 3 and 8 (3 × 8 = 24). Add the 1 to the answer which equals 25.

This number is larger than 9, so place the 2 above the column on the left to be added in the next step and place the 5 below the line in the corresponding row, and to the left of the other digits.

2

**1**22 5

**8**.378__× 0.__

__3____96__

350268

525402

**5**134

Multiply the digits 3 and 5 (3 × 5 = 15). Add the 2 to the answer which equals 17.

This number is larger than 9, but there are no more columns, so place the answer below the line in the corresponding row, and to the left of the other digits.

**2**1 22

**5**8.378

__× 0.__

__3____96__

350268

525402

**17**5134

**Final answer**

Add all the rows together and write the answer.

58.378

__× 0.396__

350268

525402

__175134__

23117688

We must now count up the decimal places of both numbers and move the decimal place to its proper location. We have 3 decimal place(s) in the first number and 3 in the second one, so we move the decimal point 6 place(s) to the left to give the final answer.

23.117688