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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 beside the other with the multiplication symbol between them. Draw a line under the numbers. 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 3 and place the answer below the line. Write the answer in such way that the last digit be lined up with digit being multiplied of the second number.**

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.

2

__58.37__

__8____×0.__

__3____96__

**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 and to the left of the other digits.

2

**2**__58.3__

__7____8×0.__

__3____96__

**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 and to the left of the other digits.

1

**2**2__58.__

__3____78×0.__

__3____96__

**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 and to the left of the other digits.

2

**1**22__5__

__8____.378×0.__

__3____96__

**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 and to the left of the other digits.

**2**1 22

__5____8.378×0.__

__3____96__

**17**5134

**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 right.**

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__

175134

**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__

175134

**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__

175134

**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__

175134

**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__

175134

**52**5402

**Multiply the number 58378 by the digit 6 and place the answer in a new row below the last one, moving one place 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 in the corresponding row.

4

__58.37__

__8____×0.39__

__6__ 175134

525402

**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 in the corresponding row, and to the left of the other digits.

4

**4**__58.3__

__7____8×0.39__

__6__ 175134

525402

**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 in the corresponding row, and to the left of the other digits.

2

**4**4__58.__

__3____78×0.39__

__6__ 175134

525402

**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 in the corresponding row, and to the left of the other digits.

5

**2**44__5__

__8____.378×0.39__

__6__ 175134

525402

**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 in the corresponding row, and to the left of the other digits.

**5**2 44

__5____8.378×0.39__

__6__ 175134

525402

**35**0268

**Final answer**

Add all the rows together and write the answer.

__58.378×0.396__

175134

525402

__350268__

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